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      <loc>https://www.mathplotai.com/zh/case/volumes-of-solids-by-cross-section-interactive-visualization/ssss70af</loc>
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      <lastmod>2026-11-03T03:56:53+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/transforming-a-cube-into-a-pyramid-geogebra-construction/ssss70au</loc>
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      <loc>https://www.mathplotai.com/zh/case/graphing-exponential-growth-and-decay-functions/ssss70a5</loc>
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      <loc>https://www.mathplotai.com/en/case/graphing-exponential-growth-and-decay-functions/ssss70a5</loc>
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      <lastmod>2026-11-03T02:53:23+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/sphere-and-conditional-probability-visualization/ssss70ab</loc>
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      <loc>https://www.mathplotai.com/en/case/sphere-and-conditional-probability-visualization/ssss70ab</loc>
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      <lastmod>2026-11-02T20:19:03+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/continuity-demonstration-by-sajith-koyyal/ssss70a3</loc>
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      <lastmod>2026-11-02T22:05:50+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/gogeometry-action-169-dynamic-regular-pentagon-geometry-construction/ssss70aq</loc>
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      <lastmod>2026-11-02T21:57:29+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/translation-exploration-by-maria-ahrens/ssss70a1</loc>
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      <lastmod>2026-11-02T22:57:42+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/properties-of-dilations-by-tim-brzezinski/ssss70am</loc>
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      <lastmod>2026-11-02T22:57:35+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/simulation-of-minimal-surface-of-soap-cube/ssss7dsl</loc>
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      <loc>https://www.mathplotai.com/zh/case/pyramids-in-prism-by-jaime-guerrero-l-pez/ssss7dsh</loc>
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      <loc>https://www.mathplotai.com/zh/case/zeros-of-trigonometric-functions/ssss7dn0</loc>
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      <loc>https://www.mathplotai.com/zh/case/proof-that-complements-of-congruent-angles-are-congruent-geogebra-demonstratio/ssss7dnd</loc>
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      <loc>https://www.mathplotai.com/zh/case/rectangles-rhombi-squares-and-kites/ssss7dko</loc>
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      <lastmod>2026-11-02T23:07:53+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/matrix-intersection-planes-and-incircle-in-a-polyhedral-intersection/ssss7dz7</loc>
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      <loc>https://www.mathplotai.com/zh/case/animated-demonstration-of-pythagoras-theorem/ssss7dz5</loc>
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      <loc>https://www.mathplotai.com/en/case/animation-204/ssss7dz3</loc>
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      <loc>https://www.mathplotai.com/zh/case/ap-stats-spinner-expected-value-demo/ssss7dz1</loc>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/right-kite/ssss7d08</loc>
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      <lastmod>2026-11-02T23:47:29+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/parallelogram-properties-exploration-by-kim-kembitzky/ssss7d0u</loc>
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      <lastmod>2026-11-03T03:40:19+00:00</lastmod>
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      <lastmod>2026-11-03T03:40:19+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/net-of-pyramid-dynamic-geogebra-demonstration/ssss7d0b</loc>
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      <lastmod>2026-11-02T21:04:47+00:00</lastmod>
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      <lastmod>2026-11-02T21:04:47+00:00</lastmod>
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      <lastmod>2026-11-02T23:53:42+00:00</lastmod>
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      <lastmod>2026-11-02T23:53:42+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/changes-in-linear-functions/ssss7d0q</loc>
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      <loc>https://www.mathplotai.com/zh/case/polygon-patterns-from-rotation/ssss7d01</loc>
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      <loc>https://www.mathplotai.com/zh/case/parallelogram-construction-demo-by-osoneal671/ssss7d5l</loc>
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      <loc>https://www.mathplotai.com/zh/case/optimization-of-isosceles-triangles/ssss7d5c</loc>
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      <loc>https://www.mathplotai.com/en/case/optimization-of-isosceles-triangles/ssss7d5c</loc>
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      <loc>https://www.mathplotai.com/en/case/two-points-of-intersection-example/ssss7d5h</loc>
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    <url>
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      <loc>https://www.mathplotai.com/en/case/golden-rectangle-construction/ssss7d5x</loc>
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      <loc>https://www.mathplotai.com/zh/case/calculus-unit-sphere-in-cone/ssss7d5i</loc>
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      <loc>https://www.mathplotai.com/en/case/calculus-unit-sphere-in-cone/ssss7d5i</loc>
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      <lastmod>2026-11-02T23:17:59+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/coordinates-boat-game-exploring-coordinate-and-random-process/ssss7d3s</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/coordinates-boat-game-exploring-coordinate-and-random-process/ssss7d3s"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/coordinates-boat-game-exploring-coordinate-and-random-process/ssss7d3s"/>
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      <loc>https://www.mathplotai.com/en/case/coordinates-boat-game-exploring-coordinate-and-random-process/ssss7d3s</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/coordinates-boat-game-exploring-coordinate-and-random-process/ssss7d3s"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/coordinates-boat-game-exploring-coordinate-and-random-process/ssss7d3s"/>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/bragg-diffraction-angles/ssss7d37</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/bragg-diffraction-angles/ssss7d37</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/bragg-diffraction-angles/ssss7d37"/>
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      <lastmod>2026-11-02T19:20:41+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/slope-fields-for-dy-dx-p-x-y/ssss7d3n</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/slope-fields-for-dy-dx-p-x-y/ssss7d3n"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/slope-fields-for-dy-dx-p-x-y/ssss7d3n"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/slope-fields-for-dy-dx-p-x-y/ssss7d3n"/>
      <lastmod>2026-11-03T02:17:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/slope-fields-for-dy-dx-p-x-y/ssss7d3n</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/slope-fields-for-dy-dx-p-x-y/ssss7d3n"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/slope-fields-for-dy-dx-p-x-y/ssss7d3n"/>
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      <lastmod>2026-11-03T02:17:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/tangent-function-periodicity-demo/ssss7d32</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/tangent-function-periodicity-demo/ssss7d32"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/tangent-function-periodicity-demo/ssss7d32"/>
      <lastmod>2026-11-02T22:13:30+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/tangent-function-periodicity-demo/ssss7d32</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/tangent-function-periodicity-demo/ssss7d32"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/tangent-function-periodicity-demo/ssss7d32"/>
      <lastmod>2026-11-02T22:13:30+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/ellipse-focus-directrix-eccentricity-interactive-demo/ssss7d3k</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/ellipse-focus-directrix-eccentricity-interactive-demo/ssss7d3k"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/ellipse-focus-directrix-eccentricity-interactive-demo/ssss7d3k"/>
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      <loc>https://www.mathplotai.com/en/case/ellipse-focus-directrix-eccentricity-interactive-demo/ssss7d3k</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/ellipse-focus-directrix-eccentricity-interactive-demo/ssss7d3k"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/ellipse-focus-directrix-eccentricity-interactive-demo/ssss7d3k"/>
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      <lastmod>2026-11-02T20:16:26+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/cubic-function-with-secant-and-tangent/ssss7d3z</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/cubic-function-with-secant-and-tangent/ssss7d3z"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/cubic-function-with-secant-and-tangent/ssss7d3z"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/cubic-function-with-secant-and-tangent/ssss7d3z"/>
      <lastmod>2026-11-03T01:32:47+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/cubic-function-with-secant-and-tangent/ssss7d3z</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/cubic-function-with-secant-and-tangent/ssss7d3z"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/cubic-function-with-secant-and-tangent/ssss7d3z"/>
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      <lastmod>2026-11-03T01:32:47+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/mixing-paint-ratio/ssss7d30</loc>
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      <lastmod>2026-11-02T22:45:31+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/mixing-paint-ratio/ssss7d30</loc>
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      <lastmod>2026-11-02T22:45:31+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/complex-roots-and-cubic-graphs/ssss7d3d</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/complex-roots-and-cubic-graphs/ssss7d3d"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/complex-roots-and-cubic-graphs/ssss7d3d"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/complex-roots-and-cubic-graphs/ssss7d3d"/>
      <lastmod>2026-11-03T01:06:51+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/complex-roots-and-cubic-graphs/ssss7d3d</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/complex-roots-and-cubic-graphs/ssss7d3d"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/complex-roots-and-cubic-graphs/ssss7d3d"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/complex-roots-and-cubic-graphs/ssss7d3d"/>
      <lastmod>2026-11-03T01:06:51+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/step-functions-example-1-constructing-a-piecewise-function/ssss7d3f</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/step-functions-example-1-constructing-a-piecewise-function/ssss7d3f"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/step-functions-example-1-constructing-a-piecewise-function/ssss7d3f"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/step-functions-example-1-constructing-a-piecewise-function/ssss7d3f"/>
      <lastmod>2026-11-02T21:28:44+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/step-functions-example-1-constructing-a-piecewise-function/ssss7d3f</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/step-functions-example-1-constructing-a-piecewise-function/ssss7d3f"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/step-functions-example-1-constructing-a-piecewise-function/ssss7d3f"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/step-functions-example-1-constructing-a-piecewise-function/ssss7d3f"/>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/mapping-diagrams-and-graphs-for-exponential-and-logarithmic-functions/ssss7d38</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/mapping-diagrams-and-graphs-for-exponential-and-logarithmic-functions/ssss7d38"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/mapping-diagrams-and-graphs-for-exponential-and-logarithmic-functions/ssss7d38"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/mapping-diagrams-and-graphs-for-exponential-and-logarithmic-functions/ssss7d38"/>
      <lastmod>2026-11-02T21:33:15+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/mapping-diagrams-and-graphs-for-exponential-and-logarithmic-functions/ssss7d38</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/mapping-diagrams-and-graphs-for-exponential-and-logarithmic-functions/ssss7d38"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/mapping-diagrams-and-graphs-for-exponential-and-logarithmic-functions/ssss7d38"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/mapping-diagrams-and-graphs-for-exponential-and-logarithmic-functions/ssss7d38"/>
      <lastmod>2026-11-02T21:33:15+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/circulation-in-2-space/ssss7d3u</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/circulation-in-2-space/ssss7d3u"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/circulation-in-2-space/ssss7d3u"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/circulation-in-2-space/ssss7d3u"/>
      <lastmod>2026-11-02T19:40:08+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/circulation-in-2-space/ssss7d3u</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/circulation-in-2-space/ssss7d3u"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/circulation-in-2-space/ssss7d3u"/>
      <lastmod>2026-11-02T19:40:08+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/sine-and-cosine-on-the-unit-circle-degrees/ssss7d35</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/sine-and-cosine-on-the-unit-circle-degrees/ssss7d35"/>
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      <lastmod>2026-11-03T00:28:59+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/sine-and-cosine-on-the-unit-circle-degrees/ssss7d35</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/sine-and-cosine-on-the-unit-circle-degrees/ssss7d35"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/sine-and-cosine-on-the-unit-circle-degrees/ssss7d35"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/sine-and-cosine-on-the-unit-circle-degrees/ssss7d35"/>
      <lastmod>2026-11-03T00:28:59+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/animation-of-the-circumcircle-of-an-isosceles-triangle/ssss7d3b</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/animation-of-the-circumcircle-of-an-isosceles-triangle/ssss7d3b"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/animation-of-the-circumcircle-of-an-isosceles-triangle/ssss7d3b"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/animation-of-the-circumcircle-of-an-isosceles-triangle/ssss7d3b"/>
      <lastmod>2026-11-02T20:56:27+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/animation-of-the-circumcircle-of-an-isosceles-triangle/ssss7d3b</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/animation-of-the-circumcircle-of-an-isosceles-triangle/ssss7d3b"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/animation-of-the-circumcircle-of-an-isosceles-triangle/ssss7d3b"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/animation-of-the-circumcircle-of-an-isosceles-triangle/ssss7d3b"/>
      <lastmod>2026-11-02T20:56:27+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/isosceles-trapezoid-geometric-exploration-by-mrs-kimble/ssss7d33</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/isosceles-trapezoid-geometric-exploration-by-mrs-kimble/ssss7d33"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/isosceles-trapezoid-geometric-exploration-by-mrs-kimble/ssss7d33"/>
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    <url>
      <loc>https://www.mathplotai.com/en/case/isosceles-trapezoid-geometric-exploration-by-mrs-kimble/ssss7d33</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/isosceles-trapezoid-geometric-exploration-by-mrs-kimble/ssss7d33"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/isosceles-trapezoid-geometric-exploration-by-mrs-kimble/ssss7d33"/>
      <lastmod>2026-11-02T23:05:50+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/slopes-of-parallel-perpendicular-lines-by-john-sweeney/ssss7d3q</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/slopes-of-parallel-perpendicular-lines-by-john-sweeney/ssss7d3q"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/slopes-of-parallel-perpendicular-lines-by-john-sweeney/ssss7d3q"/>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/slopes-of-parallel-perpendicular-lines-by-john-sweeney/ssss7d3q"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/slopes-of-parallel-perpendicular-lines-by-john-sweeney/ssss7d3q"/>
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      <lastmod>2026-11-03T03:53:18+00:00</lastmod>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/torsion-of-an-ellipsoid/ssss7d31"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/torsion-of-an-ellipsoid/ssss7d31"/>
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      <loc>https://www.mathplotai.com/zh/case/robbery-riddler-expected-value/ssss7d1h</loc>
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      <loc>https://www.mathplotai.com/en/case/robbery-riddler-expected-value/ssss7d1h</loc>
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      <loc>https://www.mathplotai.com/zh/case/correlation-and-line-of-best-fit-task-1/ssss7d1t</loc>
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      <lastmod>2026-11-02T23:43:56+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/cross-sections-of-regular-prisms/ssss7d1i</loc>
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      <lastmod>2026-11-02T21:12:45+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/conditional-probability-and-and-or-events/ssss7dms</loc>
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      <loc>https://www.mathplotai.com/en/case/conditional-probability-and-and-or-events/ssss7dms</loc>
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    <url>
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      <loc>https://www.mathplotai.com/zh/case/similar-triangles-demo-by-tgay/ssss7dmn</loc>
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      <loc>https://www.mathplotai.com/en/case/similar-triangles-demo-by-tgay/ssss7dmn</loc>
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    <url>
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      <lastmod>2026-11-02T22:07:32+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/armored-transporter/ssss7dmk</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/armored-transporter/ssss7dmk</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/armored-transporter/ssss7dmk"/>
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      <lastmod>2026-11-03T02:52:50+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/theorems-on-inscribed-polygons/ssss7dmz</loc>
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      <lastmod>2026-11-02T19:18:00+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/theorems-on-inscribed-polygons/ssss7dmz</loc>
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      <lastmod>2026-11-02T19:18:00+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/surface-area-exploration/ssss7dm0</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/surface-area-exploration/ssss7dm0</loc>
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      <lastmod>2026-11-02T19:13:50+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/volume-of-revolution-by-michael-borcherds/ssss7dmd</loc>
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      <lastmod>2026-11-03T02:28:55+00:00</lastmod>
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      <lastmod>2026-11-03T02:28:55+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/pythagoras-theorem-with-semicircles/ssss7dmf</loc>
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      <lastmod>2026-11-02T19:38:47+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/similar-triangles-and-trigonometry/ssss7dpa</loc>
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    <url>
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      <lastmod>2026-11-02T20:23:23+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/derivative-at-a-point-by-jiricek72/ssss7dph</loc>
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      <lastmod>2026-11-02T22:25:02+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/linear-equations-practice/ssss7dpt</loc>
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      <lastmod>2026-11-02T20:30:42+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/intersection-of-spheres/ssss7dpx</loc>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/polar-coordinate-demo/ssss7dpi</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/polar-coordinate-demo/ssss7dpi</loc>
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      <loc>https://www.mathplotai.com/en/case/drawing-a-line-from-slope-intercept-equation/ssss7dpo</loc>
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      <loc>https://www.mathplotai.com/en/case/bc-limits-1/ssss7dwg</loc>
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      <loc>https://www.mathplotai.com/zh/case/unit-circle-radians-and-degrees-interactive-visualization/ssss7dw9</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/unit-circle-radians-and-degrees-interactive-visualization/ssss7dw9"/>
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    <url>
      <loc>https://www.mathplotai.com/en/case/unit-circle-radians-and-degrees-interactive-visualization/ssss7dw9</loc>
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      <loc>https://www.mathplotai.com/zh/case/diagonals-of-a-square/ssss7dwe</loc>
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      <lastmod>2026-11-02T23:48:01+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/diagonals-of-a-square/ssss7dwe</loc>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/parabola-and-ellipse/ssss7dwv</loc>
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      <lastmod>2026-11-02T19:52:19+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/parabola-and-ellipse/ssss7dwv</loc>
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      <loc>https://www.mathplotai.com/zh/case/probability-of-counters-in-a-bag/ssss7dw4</loc>
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      <loc>https://www.mathplotai.com/en/case/probability-of-counters-in-a-bag/ssss7dw4</loc>
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      <lastmod>2026-11-02T23:00:14+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/3d-vectors-and-their-direction-cosines/ssss7dwl</loc>
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      <lastmod>2026-11-03T02:07:10+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/3d-vectors-and-their-direction-cosines/ssss7dwl</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/3d-vectors-and-their-direction-cosines/ssss7dwl"/>
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      <lastmod>2026-11-03T02:07:10+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/conic-tangent-and-vector-animation/ssss7dwy</loc>
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      <lastmod>2026-11-02T19:15:35+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/conic-tangent-and-vector-animation/ssss7dwy</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/conic-tangent-and-vector-animation/ssss7dwy"/>
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      <lastmod>2026-11-02T19:15:35+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/minimizing-triangle-perimeter/ssss7dwa</loc>
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      <lastmod>2026-11-03T02:53:39+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/minimizing-triangle-perimeter/ssss7dwa</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/minimizing-triangle-perimeter/ssss7dwa"/>
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      <lastmod>2026-11-03T02:53:39+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/dynamic-inequalities-in-a-triangle/ssss7dwc</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dynamic-inequalities-in-a-triangle/ssss7dwc"/>
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      <lastmod>2026-11-02T20:41:17+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/dynamic-inequalities-in-a-triangle/ssss7dwc</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dynamic-inequalities-in-a-triangle/ssss7dwc"/>
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      <lastmod>2026-11-02T20:41:17+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/graphs-of-powers-of-x/ssss7dwr</loc>
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      <lastmod>2026-11-02T21:26:29+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/graphs-of-powers-of-x/ssss7dwr</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/graphs-of-powers-of-x/ssss7dwr"/>
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      <lastmod>2026-11-02T21:26:29+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/diamond-kite/ssss7dwh</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/diamond-kite/ssss7dwh"/>
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      <lastmod>2026-11-03T03:23:59+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/diamond-kite/ssss7dwh</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/diamond-kite/ssss7dwh"/>
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      <lastmod>2026-11-03T03:23:59+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/general-form-and-translations-of-lines/ssss7dwt</loc>
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      <lastmod>2026-11-02T23:21:26+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/general-form-and-translations-of-lines/ssss7dwt</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/general-form-and-translations-of-lines/ssss7dwt"/>
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      <lastmod>2026-11-02T23:21:26+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/ellipse-with-reflected-ray/ssss7dwx</loc>
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      <lastmod>2026-11-03T02:59:04+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/ellipse-with-reflected-ray/ssss7dwx</loc>
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      <lastmod>2026-11-03T02:59:04+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/parabola-and-square-construction/ssss7dwi</loc>
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      <lastmod>2026-11-02T21:10:10+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/parabola-and-square-construction/ssss7dwi</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/parabola-and-square-construction/ssss7dwi"/>
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      <lastmod>2026-11-02T21:10:10+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/vertical-dilations-compression-patterns-when-0-a-1/ssss7dwo</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/vertical-dilations-compression-patterns-when-0-a-1/ssss7dwo"/>
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      <lastmod>2026-11-03T00:06:24+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/vertical-dilations-compression-patterns-when-0-a-1/ssss7dwo</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/vertical-dilations-compression-patterns-when-0-a-1/ssss7dwo"/>
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      <lastmod>2026-11-03T00:06:24+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/perimeter-circumference-2/ssss7d6s</loc>
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      <lastmod>2026-11-02T22:47:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/perimeter-circumference-2/ssss7d6s</loc>
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      <lastmod>2026-11-02T22:47:52+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/intercept-form-of-a-quadratic-function/ssss7d6i</loc>
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      <loc>https://www.mathplotai.com/en/case/intercept-form-of-a-quadratic-function/ssss7d6i</loc>
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      <loc>https://www.mathplotai.com/zh/case/cross-sections-of-a-triangular-prism/ssss7d6o</loc>
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      <lastmod>2026-11-02T21:33:47+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/cross-sections-of-a-triangular-prism/ssss7d6o</loc>
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      <lastmod>2026-11-02T21:33:47+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/sine-curve/ssss7dgs</loc>
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      <lastmod>2026-11-02T22:10:05+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/sine-curve/ssss7dgs</loc>
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      <lastmod>2026-11-02T22:10:05+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/diagonal-of-a-rhombus/ssss7dg7</loc>
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      <lastmod>2026-11-02T23:09:51+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/diagonal-of-a-rhombus/ssss7dg7</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/diagonal-of-a-rhombus/ssss7dg7"/>
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      <lastmod>2026-11-02T23:09:51+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/plane-and-elliptic-paraboloid-intersection/ssss7dgn</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/plane-and-elliptic-paraboloid-intersection/ssss7dgn"/>
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      <lastmod>2026-11-02T20:49:01+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/plane-and-elliptic-paraboloid-intersection/ssss7dgn</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/plane-and-elliptic-paraboloid-intersection/ssss7dgn"/>
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      <lastmod>2026-11-02T20:49:01+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/hyperbola-graph-equation-anatomy/ssss7dg2</loc>
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      <lastmod>2026-11-02T22:15:09+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/hyperbola-graph-equation-anatomy/ssss7dg2</loc>
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      <lastmod>2026-11-02T22:15:09+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/vector-addition-by-alex/ssss7dgk</loc>
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      <lastmod>2026-11-02T19:39:03+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/vector-addition-by-alex/ssss7dgk</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/vector-addition-by-alex/ssss7dgk"/>
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      <lastmod>2026-11-02T19:39:03+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/long-multiplication/ssss7dgz</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/long-multiplication/ssss7dgz"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/long-multiplication/ssss7dgz"/>
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      <lastmod>2026-11-03T02:21:03+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/long-multiplication/ssss7dgz</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/long-multiplication/ssss7dgz"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/long-multiplication/ssss7dgz"/>
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      <lastmod>2026-11-03T02:21:03+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/sorting-three-fractions-numerator/ssss7dg0</loc>
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      <lastmod>2026-11-02T23:40:58+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/sorting-three-fractions-numerator/ssss7dg0</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/sorting-three-fractions-numerator/ssss7dg0"/>
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      <lastmod>2026-11-02T23:40:58+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/m-bius-strip-by-steve-phelps/ssss7dgd</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/m-bius-strip-by-steve-phelps/ssss7dgd"/>
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      <lastmod>2026-11-02T19:06:48+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/m-bius-strip-by-steve-phelps/ssss7dgd</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/m-bius-strip-by-steve-phelps/ssss7dgd"/>
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      <lastmod>2026-11-02T19:06:48+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/pyramid-construction-by-moshe/ssss7dgf</loc>
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      <lastmod>2026-11-03T03:54:00+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/pyramid-construction-by-moshe/ssss7dgf</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/pyramid-construction-by-moshe/ssss7dgf"/>
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      <lastmod>2026-11-03T03:54:00+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/coordinates-of-a-point/ssss7dg8</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/coordinates-of-a-point/ssss7dg8"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/coordinates-of-a-point/ssss7dg8"/>
      <lastmod>2026-11-02T22:32:39+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/coordinates-of-a-point/ssss7dg8</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/coordinates-of-a-point/ssss7dg8"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/coordinates-of-a-point/ssss7dg8"/>
      <lastmod>2026-11-02T22:32:39+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/exponential-function-graphs-with-x-intercept-labeled/ssss7dgu</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/exponential-function-graphs-with-x-intercept-labeled/ssss7dgu"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/exponential-function-graphs-with-x-intercept-labeled/ssss7dgu"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/exponential-function-graphs-with-x-intercept-labeled/ssss7dgu"/>
      <lastmod>2026-11-02T19:41:36+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/exponential-function-graphs-with-x-intercept-labeled/ssss7dgu</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/exponential-function-graphs-with-x-intercept-labeled/ssss7dgu"/>
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      <lastmod>2026-11-02T19:41:36+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/rhombus-diagonals-by-jamesartemusgilmore/ssss7dg5</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/rhombus-diagonals-by-jamesartemusgilmore/ssss7dg5"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/rhombus-diagonals-by-jamesartemusgilmore/ssss7dg5"/>
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      <lastmod>2026-11-02T23:39:41+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/rhombus-diagonals-by-jamesartemusgilmore/ssss7dg5</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/rhombus-diagonals-by-jamesartemusgilmore/ssss7dg5"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/rhombus-diagonals-by-jamesartemusgilmore/ssss7dg5"/>
      <lastmod>2026-11-02T23:39:41+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/animation-demonstrating-geometric-transformations-and-probability/ssss7dgb</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/animation-demonstrating-geometric-transformations-and-probability/ssss7dgb"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/animation-demonstrating-geometric-transformations-and-probability/ssss7dgb"/>
      <lastmod>2026-11-02T21:24:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/animation-demonstrating-geometric-transformations-and-probability/ssss7dgb</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/animation-demonstrating-geometric-transformations-and-probability/ssss7dgb"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/animation-demonstrating-geometric-transformations-and-probability/ssss7dgb"/>
      <lastmod>2026-11-02T21:24:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/goodness-of-fit-tests-writing-conclusions/ssss7dg3</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/goodness-of-fit-tests-writing-conclusions/ssss7dg3"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/goodness-of-fit-tests-writing-conclusions/ssss7dg3"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/goodness-of-fit-tests-writing-conclusions/ssss7dg3"/>
      <lastmod>2026-11-02T19:49:13+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/goodness-of-fit-tests-writing-conclusions/ssss7dg3</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/goodness-of-fit-tests-writing-conclusions/ssss7dg3"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/goodness-of-fit-tests-writing-conclusions/ssss7dg3"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/goodness-of-fit-tests-writing-conclusions/ssss7dg3"/>
      <lastmod>2026-11-02T19:49:13+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/constructing-a-square-with-the-same-area-as-a-given-rectangle/ssss7dgq</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/constructing-a-square-with-the-same-area-as-a-given-rectangle/ssss7dgq"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/constructing-a-square-with-the-same-area-as-a-given-rectangle/ssss7dgq"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/constructing-a-square-with-the-same-area-as-a-given-rectangle/ssss7dgq"/>
      <lastmod>2026-11-02T23:11:41+00:00</lastmod>
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    <url>
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      <loc>https://www.mathplotai.com/zh/case/derivatives-of-sinx-and-cosx/ssss7d9x</loc>
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      <lastmod>2026-11-02T20:13:54+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/derivatives-of-sinx-and-cosx/ssss7d9x</loc>
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      <lastmod>2026-11-02T20:13:54+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/dynamic-coordinates-with-linear-interpolation/ssss7d9i</loc>
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      <lastmod>2026-11-02T20:55:48+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/dynamic-coordinates-with-linear-interpolation/ssss7d9i</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dynamic-coordinates-with-linear-interpolation/ssss7d9i"/>
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      <lastmod>2026-11-02T20:55:48+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/sine-and-cosine-table/ssss7d9o</loc>
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      <lastmod>2026-11-03T01:32:00+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/sine-and-cosine-table/ssss7d9o</loc>
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      <lastmod>2026-11-03T01:32:00+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/slope-field/ssss7des</loc>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/activity-6-reflection-trapezoid-multi-stage-mirror-transformations/ssss7de7"/>
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      <lastmod>2026-11-02T22:14:24+00:00</lastmod>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/solve-2-variable-linear-equations-inequalities-by-judah-l-schwartz/ssss7den"/>
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      <lastmod>2026-11-02T21:40:56+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/solve-2-variable-linear-equations-inequalities-by-judah-l-schwartz/ssss7den</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/solve-2-variable-linear-equations-inequalities-by-judah-l-schwartz/ssss7den"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/solve-2-variable-linear-equations-inequalities-by-judah-l-schwartz/ssss7den"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/solve-2-variable-linear-equations-inequalities-by-judah-l-schwartz/ssss7den"/>
      <lastmod>2026-11-02T21:40:56+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/cosine-law-by-earl-samuelson/ssss7de2</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/cosine-law-by-earl-samuelson/ssss7de2"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/cosine-law-by-earl-samuelson/ssss7de2"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/cosine-law-by-earl-samuelson/ssss7de2"/>
      <lastmod>2026-11-03T03:34:06+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/cosine-law-by-earl-samuelson/ssss7de2</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/cosine-law-by-earl-samuelson/ssss7de2"/>
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      <lastmod>2026-11-03T03:34:06+00:00</lastmod>
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    <url>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/geometric-proof-of-arithmetic-mean-geometric-mean-inequality-for-two-variables/ssss7dek"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/geometric-proof-of-arithmetic-mean-geometric-mean-inequality-for-two-variables/ssss7dek"/>
      <lastmod>2026-11-02T22:20:41+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/geometric-proof-of-arithmetic-mean-geometric-mean-inequality-for-two-variables/ssss7dek</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/geometric-proof-of-arithmetic-mean-geometric-mean-inequality-for-two-variables/ssss7dek"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/geometric-proof-of-arithmetic-mean-geometric-mean-inequality-for-two-variables/ssss7dek"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/geometric-proof-of-arithmetic-mean-geometric-mean-inequality-for-two-variables/ssss7dek"/>
      <lastmod>2026-11-02T22:20:41+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/calculus-big-picture-slope-and-area-connection-by-ken-schwartz/ssss7dez</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/calculus-big-picture-slope-and-area-connection-by-ken-schwartz/ssss7dez"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/calculus-big-picture-slope-and-area-connection-by-ken-schwartz/ssss7dez"/>
      <lastmod>2026-11-03T02:09:50+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/calculus-big-picture-slope-and-area-connection-by-ken-schwartz/ssss7dez</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/calculus-big-picture-slope-and-area-connection-by-ken-schwartz/ssss7dez"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/calculus-big-picture-slope-and-area-connection-by-ken-schwartz/ssss7dez"/>
      <lastmod>2026-11-03T02:09:50+00:00</lastmod>
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    <url>
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      <lastmod>2026-11-03T01:16:08+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/translations-of-sin-x/ssss7d49</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/translations-of-sin-x/ssss7d49</loc>
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      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/translations-of-sin-x/ssss7d49"/>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/implicit-2nd-derivatives-demo/ssss7d4e</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/implicit-2nd-derivatives-demo/ssss7d4e</loc>
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      <lastmod>2026-11-03T02:35:14+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/thales-theorem-interactive-exploration/ssss7d4v</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/thales-theorem-interactive-exploration/ssss7d4v</loc>
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      <lastmod>2026-11-02T21:00:32+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/circular-rotation-and-parametric-equations/ssss7d44</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/circular-rotation-and-parametric-equations/ssss7d44"/>
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      <lastmod>2026-11-02T20:57:34+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/circular-rotation-and-parametric-equations/ssss7d44</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/circular-rotation-and-parametric-equations/ssss7d44"/>
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      <lastmod>2026-11-02T20:57:34+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/180-degree-rotation-by-stuhrb/ssss7d4l</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/180-degree-rotation-by-stuhrb/ssss7d4l"/>
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      <lastmod>2026-11-02T22:49:19+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/180-degree-rotation-by-stuhrb/ssss7d4l</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/180-degree-rotation-by-stuhrb/ssss7d4l"/>
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      <lastmod>2026-11-02T22:49:19+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/dividing-fractions-with-denominators-of-12/ssss7d4y</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dividing-fractions-with-denominators-of-12/ssss7d4y"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/dividing-fractions-with-denominators-of-12/ssss7d4y"/>
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      <lastmod>2026-11-02T20:37:27+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/dividing-fractions-with-denominators-of-12/ssss7d4y</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dividing-fractions-with-denominators-of-12/ssss7d4y"/>
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      <lastmod>2026-11-02T20:37:27+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/rotational-symmetry-of-an-equilateral-triangle-by-greenmaths/ssss7d4a</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/rotational-symmetry-of-an-equilateral-triangle-by-greenmaths/ssss7d4a"/>
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      <lastmod>2026-11-02T21:24:32+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/rotational-symmetry-of-an-equilateral-triangle-by-greenmaths/ssss7d4a</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/rotational-symmetry-of-an-equilateral-triangle-by-greenmaths/ssss7d4a"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/rotational-symmetry-of-an-equilateral-triangle-by-greenmaths/ssss7d4a"/>
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      <lastmod>2026-11-02T21:24:32+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/candy-sharing-problem/ssss7d4c</loc>
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      <lastmod>2026-11-03T00:55:54+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/candy-sharing-problem/ssss7d4c</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/candy-sharing-problem/ssss7d4c"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/candy-sharing-problem/ssss7d4c"/>
      <lastmod>2026-11-03T00:55:54+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/parallel-lines-definition-demo-by-tim-brzezinski/ssss7d4r</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/parallel-lines-definition-demo-by-tim-brzezinski/ssss7d4r"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/parallel-lines-definition-demo-by-tim-brzezinski/ssss7d4r"/>
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      <lastmod>2026-11-03T03:55:09+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/parallel-lines-definition-demo-by-tim-brzezinski/ssss7d4r</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/parallel-lines-definition-demo-by-tim-brzezinski/ssss7d4r"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/parallel-lines-definition-demo-by-tim-brzezinski/ssss7d4r"/>
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      <lastmod>2026-11-03T03:55:09+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/average-rate-of-change-of-a-function-quiz-by-tim-brzezinski/ssss7d4h</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/average-rate-of-change-of-a-function-quiz-by-tim-brzezinski/ssss7d4h"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/average-rate-of-change-of-a-function-quiz-by-tim-brzezinski/ssss7d4h"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/average-rate-of-change-of-a-function-quiz-by-tim-brzezinski/ssss7d4h"/>
      <lastmod>2026-11-02T20:43:43+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/average-rate-of-change-of-a-function-quiz-by-tim-brzezinski/ssss7d4h</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/average-rate-of-change-of-a-function-quiz-by-tim-brzezinski/ssss7d4h"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/average-rate-of-change-of-a-function-quiz-by-tim-brzezinski/ssss7d4h"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/average-rate-of-change-of-a-function-quiz-by-tim-brzezinski/ssss7d4h"/>
      <lastmod>2026-11-02T20:43:43+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/hexagon-folding-demonstration/ssss7d4t</loc>
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      <lastmod>2026-11-02T20:15:36+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/hexagon-folding-demonstration/ssss7d4t</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/hexagon-folding-demonstration/ssss7d4t"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/hexagon-folding-demonstration/ssss7d4t"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/hexagon-folding-demonstration/ssss7d4t"/>
      <lastmod>2026-11-02T20:15:36+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/continuity-and-differentiability/ssss7d4x</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/continuity-and-differentiability/ssss7d4x"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/continuity-and-differentiability/ssss7d4x"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/continuity-and-differentiability/ssss7d4x"/>
      <lastmod>2026-11-02T21:38:26+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/continuity-and-differentiability/ssss7d4x</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/continuity-and-differentiability/ssss7d4x"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/continuity-and-differentiability/ssss7d4x"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/continuity-and-differentiability/ssss7d4x"/>
      <lastmod>2026-11-02T21:38:26+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/partial-derivatives-in-3d/ssss7d4i</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/partial-derivatives-in-3d/ssss7d4i"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/partial-derivatives-in-3d/ssss7d4i"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/partial-derivatives-in-3d/ssss7d4i"/>
      <lastmod>2026-11-03T01:10:07+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/partial-derivatives-in-3d/ssss7d4i</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/partial-derivatives-in-3d/ssss7d4i"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/partial-derivatives-in-3d/ssss7d4i"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/partial-derivatives-in-3d/ssss7d4i"/>
      <lastmod>2026-11-03T01:10:07+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/basic-vector-concepts/ssss7d4o</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/basic-vector-concepts/ssss7d4o"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/basic-vector-concepts/ssss7d4o"/>
      <lastmod>2026-11-02T23:18:04+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/basic-vector-concepts/ssss7d4o</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/basic-vector-concepts/ssss7d4o"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/basic-vector-concepts/ssss7d4o"/>
      <lastmod>2026-11-02T23:18:04+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/boy-surface-coloring/ssss7dls</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/boy-surface-coloring/ssss7dls"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/boy-surface-coloring/ssss7dls"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/boy-surface-coloring/ssss7dls"/>
      <lastmod>2026-11-03T01:21:14+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/boy-surface-coloring/ssss7dls</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/boy-surface-coloring/ssss7dls"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/boy-surface-coloring/ssss7dls"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/boy-surface-coloring/ssss7dls"/>
      <lastmod>2026-11-03T01:21:14+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/drag-test/ssss7dl7</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/drag-test/ssss7dl7"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/drag-test/ssss7dl7"/>
      <lastmod>2026-11-03T02:42:51+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/drag-test/ssss7dl7</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/drag-test/ssss7dl7"/>
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      <lastmod>2026-11-03T02:42:51+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/square-pyramid-by-david-boudreaux/ssss7dln</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/square-pyramid-by-david-boudreaux/ssss7dln"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/square-pyramid-by-david-boudreaux/ssss7dln"/>
      <lastmod>2026-11-02T21:29:47+00:00</lastmod>
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    <url>
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      <loc>https://www.mathplotai.com/zh/case/kite-construction-in-geometry-by-lauren/ssss7dyn</loc>
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      <lastmod>2026-11-02T22:13:07+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/kite-construction-in-geometry-by-lauren/ssss7dyn</loc>
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      <loc>https://www.mathplotai.com/zh/case/simple-random-triangle-example/ssss7dy2</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/simple-random-triangle-example/ssss7dy2</loc>
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      <loc>https://www.mathplotai.com/zh/case/slope-fields/ssss7dyk</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/slope-fields/ssss7dyk</loc>
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      <lastmod>2026-11-03T01:10:14+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/reflection-transformation-by-paul-jorgens/ssss7dyz</loc>
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      <lastmod>2026-11-02T23:12:10+00:00</lastmod>
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      <lastmod>2026-11-02T23:12:10+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/graphing-quadratic-functions-by-garret-cahill/ssss7dy0</loc>
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      <lastmod>2026-11-02T23:17:40+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/graphing-quadratic-functions-by-garret-cahill/ssss7dy0</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/graphing-quadratic-functions-by-garret-cahill/ssss7dy0"/>
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      <lastmod>2026-11-02T23:17:40+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/volume-by-washers-by-mike-may/ssss7dyd</loc>
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      <lastmod>2026-11-02T22:49:15+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/volume-by-washers-by-mike-may/ssss7dyd</loc>
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      <lastmod>2026-11-02T22:49:15+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/cuboid-3d-trigonometry-02-spatial-pythagorean-and-vectors/ssss7dyf</loc>
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      <lastmod>2026-11-02T22:25:33+00:00</lastmod>
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      <lastmod>2026-11-02T22:25:33+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/constructing-congruent-angles-by-kelly-gagne/ssss7dy8</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/constructing-congruent-angles-by-kelly-gagne/ssss7dy8"/>
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      <lastmod>2026-11-02T23:20:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/constructing-congruent-angles-by-kelly-gagne/ssss7dy8</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/constructing-congruent-angles-by-kelly-gagne/ssss7dy8"/>
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      <lastmod>2026-11-02T23:20:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/geometric-construction-segment-and-distance/ssss7dyu</loc>
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      <lastmod>2026-11-02T19:06:53+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/geometric-construction-segment-and-distance/ssss7dyu</loc>
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      <lastmod>2026-11-02T19:06:53+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/quadratic-root-graph-transformation-2/ssss7dy5</loc>
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      <lastmod>2026-11-02T22:28:55+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/quadratic-root-graph-transformation-2/ssss7dy5</loc>
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      <lastmod>2026-11-02T22:28:55+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/basic-construction-14-isosceles-triangle/ssss7dyb</loc>
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      <lastmod>2026-11-02T19:59:49+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/basic-construction-14-isosceles-triangle/ssss7dyb</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/basic-construction-14-isosceles-triangle/ssss7dyb"/>
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      <lastmod>2026-11-02T19:59:49+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/lines-and-intersections-demo/ssss7dy3</loc>
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      <lastmod>2026-11-02T21:29:58+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/lines-and-intersections-demo/ssss7dy3</loc>
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      <lastmod>2026-11-02T21:29:58+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/polygon-reflection/ssss7dyq</loc>
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      <lastmod>2026-11-02T20:25:06+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/polygon-reflection/ssss7dyq</loc>
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      <lastmod>2026-11-02T20:25:06+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/finding-the-mean/ssss7dy1</loc>
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      <lastmod>2026-11-02T19:08:36+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/finding-the-mean/ssss7dy1</loc>
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      <lastmod>2026-11-02T19:08:36+00:00</lastmod>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/h-3-4-derivatives-tangent-slope-and-riemann-sums/ssss7dym"/>
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      <lastmod>2026-11-02T21:06:17+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/elements-of-a-rhombus/ssss7dae</loc>
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      <loc>https://www.mathplotai.com/zh/case/isosceles-triangle-and-derivative-application/ssss7dav</loc>
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      <loc>https://www.mathplotai.com/en/case/isosceles-triangle-and-derivative-application/ssss7dav</loc>
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      <lastmod>2026-11-02T20:47:32+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/expected-value-root-statistical-visualization/ssss7dal</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/expected-value-root-statistical-visualization/ssss7dal</loc>
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      <lastmod>2026-11-03T02:48:34+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/sphere-and-cone-section-demonstration-by-patrick-cl-ment/ssss7day</loc>
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      <loc>https://www.mathplotai.com/zh/case/string-art-and-parabola-by-mathartreallife/ssss7daa</loc>
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      <lastmod>2026-11-03T02:40:21+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/rhombus-construction-demo-by-samantha-cole/ssss7dru</loc>
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      <loc>https://www.mathplotai.com/zh/case/normal-distribution-by-ying-lin/ssss7drb</loc>
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      <loc>https://www.mathplotai.com/en/case/normal-distribution-by-ying-lin/ssss7drb</loc>
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      <loc>https://www.mathplotai.com/zh/case/hyperbolas-rectangular-explorations/ssss7dr3</loc>
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      <loc>https://www.mathplotai.com/en/case/hyperbolas-rectangular-explorations/ssss7dr3</loc>
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      <loc>https://www.mathplotai.com/zh/case/reflections-page-2-interactive-exploration-of-reflection-pythagoras-and-more/ssss7drq</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/reflections-page-2-interactive-exploration-of-reflection-pythagoras-and-more/ssss7drq"/>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/trigonometry-integral-calculus-demo/ssss7dr1</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/trigonometry-integral-calculus-demo/ssss7dr1</loc>
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      <lastmod>2026-11-02T20:42:57+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/graph-transformation-game-find-the-image/ssss7drm</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/graph-transformation-game-find-the-image/ssss7drm</loc>
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      <lastmod>2026-11-02T19:09:27+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/solving-the-logarithmic-inequality-ln-2x-ln-x-2/ssss7drj</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/quadratic-function-demonstration/ssss7drp</loc>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/revised-half-perimeter-vs-sum-of-altitudes/ssss7drw</loc>
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    <url>
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      <lastmod>2026-11-02T23:45:50+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/vlad-1/ssss7dr6</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/vlad-1/ssss7dr6</loc>
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      <lastmod>2026-11-03T02:38:55+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/finsler-hadwiger-sequel-dynamic-geometry-of-squares-and-segments/ssss7drg</loc>
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      <lastmod>2026-11-04T06:08:24+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/finsler-hadwiger-sequel-dynamic-geometry-of-squares-and-segments/ssss7drg</loc>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/prism-project/ssss7dr9</loc>
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      <lastmod>2026-11-03T03:04:53+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/prism-project/ssss7dr9</loc>
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      <lastmod>2026-11-03T03:04:53+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/geometric-distribution-pdf-and-cdf-visualization/ssss7dre</loc>
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      <lastmod>2026-11-03T03:56:55+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/geometric-distribution-pdf-and-cdf-visualization/ssss7dre</loc>
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      <lastmod>2026-11-03T03:56:55+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/translation-transformation-demo-by-chisunch1/ssss7drv</loc>
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      <loc>https://www.mathplotai.com/en/case/translation-transformation-demo-by-chisunch1/ssss7drv</loc>
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      <loc>https://www.mathplotai.com/zh/case/isosceles-trapezoid-by-steve-weissburg/ssss7dr4</loc>
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      <lastmod>2026-11-02T19:52:49+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/triangles-associated-with-a-square-pyramid/ssss7dh2</loc>
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      <loc>https://www.mathplotai.com/zh/case/constructing-cone-and-cylinder/ssss7dh0</loc>
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      <loc>https://www.mathplotai.com/en/case/imaginary-number-line-i-time-space/ssss7dhe</loc>
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      <loc>https://www.mathplotai.com/zh/case/by-all-means-averaging-3-numbers/ssss7dhv</loc>
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      <loc>https://www.mathplotai.com/zh/case/spherical-coordinates-interactive-3d-visualization-of-coordinate-transformation/ssss7dh4</loc>
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      <loc>https://www.mathplotai.com/zh/case/pl-cker-cone/ssss7dhl</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/pl-cker-cone/ssss7dhl</loc>
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      <lastmod>2026-11-02T22:22:13+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/rotation-grid-3/ssss7dhy</loc>
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      <loc>https://www.mathplotai.com/en/case/rotation-grid-3/ssss7dhy</loc>
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      <lastmod>2026-11-02T22:20:33+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/venn-diagrams-with-set-notation/ssss7dha</loc>
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      <lastmod>2026-11-02T19:13:37+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/venn-diagrams-with-set-notation/ssss7dha</loc>
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      <lastmod>2026-11-02T19:13:37+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/area-and-perimeter-of-a-triangle/ssss7dhc</loc>
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      <lastmod>2026-11-03T02:08:33+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/area-and-perimeter-of-a-triangle/ssss7dhc</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/area-and-perimeter-of-a-triangle/ssss7dhc"/>
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      <lastmod>2026-11-03T02:08:33+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/four-equilateral-triangles-in-a-square/ssss7dhr</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/four-equilateral-triangles-in-a-square/ssss7dhr"/>
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      <lastmod>2026-11-02T23:53:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/four-equilateral-triangles-in-a-square/ssss7dhr</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/four-equilateral-triangles-in-a-square/ssss7dhr"/>
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      <lastmod>2026-11-02T23:53:52+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/dilation-of-lines/ssss7dhh</loc>
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      <loc>https://www.mathplotai.com/en/case/dilation-of-lines/ssss7dhh</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dilation-of-lines/ssss7dhh"/>
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      <lastmod>2026-11-02T23:52:52+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/construction-of-perpendicular-bisector-of-line-segment/ssss7dht</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/construction-of-perpendicular-bisector-of-line-segment/ssss7dht"/>
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      <lastmod>2026-11-02T23:16:57+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/construction-of-perpendicular-bisector-of-line-segment/ssss7dht</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/construction-of-perpendicular-bisector-of-line-segment/ssss7dht"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/construction-of-perpendicular-bisector-of-line-segment/ssss7dht"/>
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      <lastmod>2026-11-02T23:16:57+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/book-ratio-calculation/ssss7dhx</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/book-ratio-calculation/ssss7dhx"/>
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      <lastmod>2026-11-02T23:58:24+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/book-ratio-calculation/ssss7dhx</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/book-ratio-calculation/ssss7dhx"/>
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      <lastmod>2026-11-02T23:58:24+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/function-domain-and-range-animation/ssss7dhi</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/function-domain-and-range-animation/ssss7dhi"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/function-domain-and-range-animation/ssss7dhi"/>
      <lastmod>2026-11-02T22:53:36+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/function-domain-and-range-animation/ssss7dhi</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/function-domain-and-range-animation/ssss7dhi"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/function-domain-and-range-animation/ssss7dhi"/>
      <lastmod>2026-11-02T22:53:36+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/median-line-and-geometric-shapes/ssss7dho</loc>
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      <lastmod>2026-11-02T19:40:55+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/median-line-and-geometric-shapes/ssss7dho</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/median-line-and-geometric-shapes/ssss7dho"/>
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      <lastmod>2026-11-02T19:40:55+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/geogebra-rotation-and-dilations-slider-example/ssss7dts</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/geogebra-rotation-and-dilations-slider-example/ssss7dts"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/geogebra-rotation-and-dilations-slider-example/ssss7dts"/>
      <lastmod>2026-11-02T20:51:23+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/geogebra-rotation-and-dilations-slider-example/ssss7dts</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/geogebra-rotation-and-dilations-slider-example/ssss7dts"/>
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      <lastmod>2026-11-02T20:51:23+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/angle-angle-similarity-theorem-triangle-investigation/ssss7dt7</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/angle-angle-similarity-theorem-triangle-investigation/ssss7dt7"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/angle-angle-similarity-theorem-triangle-investigation/ssss7dt7"/>
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      <loc>https://www.mathplotai.com/en/case/angle-angle-similarity-theorem-triangle-investigation/ssss7dt7</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/angle-angle-similarity-theorem-triangle-investigation/ssss7dt7"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/angle-angle-similarity-theorem-triangle-investigation/ssss7dt7"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/angle-angle-similarity-theorem-triangle-investigation/ssss7dt7"/>
      <lastmod>2026-11-02T20:40:53+00:00</lastmod>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/the-unit-circle-interactive-trigonometric-visualization-by-norm-prokup/ssss7dtn"/>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/the-unit-circle-interactive-trigonometric-visualization-by-norm-prokup/ssss7dtn"/>
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      <lastmod>2026-11-02T22:38:35+00:00</lastmod>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/the-seven-frieze-patterns-on-a-sphere/ssss7dt2"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/the-seven-frieze-patterns-on-a-sphere/ssss7dt2"/>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/the-seven-frieze-patterns-on-a-sphere/ssss7dt2"/>
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      <loc>https://www.mathplotai.com/zh/case/quadratic-functions-vertex-form-sssss8xd/ssss7dx2</loc>
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      <loc>https://www.mathplotai.com/en/case/quadratic-functions-vertex-form-sssss8xd/ssss7dx2</loc>
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      <loc>https://www.mathplotai.com/en/case/cumulative-frequency-and-box-plot-example/ssss7dxk</loc>
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      <lastmod>2026-11-03T02:08:16+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/statistics-small-data-set-5-mean-median-and-kite-parametric-curves/ssss7dxz</loc>
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      <loc>https://www.mathplotai.com/zh/case/vector-addition-demonstration-by-d-jayaseelan-7/ssss7dx0</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/vector-addition-demonstration-by-d-jayaseelan-7/ssss7dx0"/>
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      <lastmod>2026-11-02T20:18:18+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/rhombus-properties-illustrated-by-tim-brzezinski/ssss7dxd</loc>
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      <lastmod>2026-11-02T21:42:11+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/the-kth-degree-chebyshev-polynomial/ssss7dxf</loc>
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      <lastmod>2026-11-02T20:44:13+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/vector-cross-product-and-area-visualization/ssss7dx8</loc>
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      <lastmod>2026-11-02T19:22:03+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/vector-cross-product-and-area-visualization/ssss7dx8</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/vector-cross-product-and-area-visualization/ssss7dx8"/>
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      <lastmod>2026-11-02T19:22:03+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/reflective-properties-of-parabolas-by-dthurston/ssss7dxu</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/reflective-properties-of-parabolas-by-dthurston/ssss7dxu"/>
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      <lastmod>2026-11-02T22:49:44+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/reflective-properties-of-parabolas-by-dthurston/ssss7dxu</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/reflective-properties-of-parabolas-by-dthurston/ssss7dxu"/>
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      <lastmod>2026-11-02T22:49:44+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/line-segment-summary/ssss7dx5</loc>
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      <lastmod>2026-11-02T22:22:05+00:00</lastmod>
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    <url>
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      <lastmod>2026-11-02T22:22:05+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/probability-of-type-i-and-ii-errors-in-hypothesis-testing/ssss7dxb</loc>
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      <lastmod>2026-11-02T22:59:08+00:00</lastmod>
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      <lastmod>2026-11-02T22:59:08+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/alternate-interior-angles-quick-investigation-with-parallel-lines/ssss7dx3</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/alternate-interior-angles-quick-investigation-with-parallel-lines/ssss7dx3"/>
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      <lastmod>2026-11-02T22:11:55+00:00</lastmod>
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      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/alternate-interior-angles-quick-investigation-with-parallel-lines/ssss7dx3"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/alternate-interior-angles-quick-investigation-with-parallel-lines/ssss7dx3"/>
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      <lastmod>2026-11-02T22:11:55+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/dynamic-exploration-of-quadratic-functions-with-secant-and-median-lines/ssss7dxq</loc>
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      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/dynamic-exploration-of-quadratic-functions-with-secant-and-median-lines/ssss7dxq"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/dynamic-exploration-of-quadratic-functions-with-secant-and-median-lines/ssss7dxq"/>
      <lastmod>2026-11-02T21:19:33+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/dynamic-exploration-of-quadratic-functions-with-secant-and-median-lines/ssss7dxq</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dynamic-exploration-of-quadratic-functions-with-secant-and-median-lines/ssss7dxq"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/dynamic-exploration-of-quadratic-functions-with-secant-and-median-lines/ssss7dxq"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/dynamic-exploration-of-quadratic-functions-with-secant-and-median-lines/ssss7dxq"/>
      <lastmod>2026-11-02T21:19:33+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/pyramidal-construction/ssss7dx1</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/pyramidal-construction/ssss7dx1"/>
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      <lastmod>2026-11-03T02:06:28+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/pyramidal-construction/ssss7dx1</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/pyramidal-construction/ssss7dx1"/>
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      <lastmod>2026-11-03T02:06:28+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/isosceles-triangle-investigation/ssss7dxm</loc>
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      <lastmod>2026-11-03T03:34:38+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/isosceles-triangle-investigation/ssss7dxm</loc>
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      <lastmod>2026-11-03T03:34:38+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/degenerative-hyperbola/ssss7dxj</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/degenerative-hyperbola/ssss7dxj"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/degenerative-hyperbola/ssss7dxj"/>
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      <lastmod>2026-11-03T03:17:59+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/degenerative-hyperbola/ssss7dxj</loc>
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      <loc>https://www.mathplotai.com/zh/case/dot-plot-tool-by-mizjennie/ssss7dxc</loc>
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      <lastmod>2026-11-03T02:09:23+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/net-of-a-50-agon-pyramid-solid-geometry-and-centroid-application/ssss7dxr</loc>
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      <lastmod>2026-11-03T00:54:10+00:00</lastmod>
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      <lastmod>2026-11-03T00:54:10+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/instantaneous-rate-of-change-exploration/ssss7dxh</loc>
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      <lastmod>2026-11-02T20:28:00+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/instantaneous-rate-of-change-exploration/ssss7dxh</loc>
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      <lastmod>2026-11-02T20:28:00+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/ellipse-definition-by-brian-sterr/ssss7dxt</loc>
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      <lastmod>2026-11-02T22:58:14+00:00</lastmod>
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      <lastmod>2026-11-02T22:58:14+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/pyramid-surface-area-calculation-by-avril-dunne/ssss7dxi</loc>
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      <lastmod>2026-11-02T21:15:53+00:00</lastmod>
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      <lastmod>2026-11-02T21:15:53+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/rectangle-quadratic-circle-construction/ssss7f7k</loc>
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      <lastmod>2026-11-02T19:52:01+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/explore-rotations-observe-coordinate-changes/ssss7f7z</loc>
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      <loc>https://www.mathplotai.com/zh/case/exponential-vs-logarithmic-functions/ssss7f70</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/exponential-vs-logarithmic-functions/ssss7f70</loc>
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      <lastmod>2026-11-02T22:53:53+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/relationship-between-circumference-diameter/ssss7f7l</loc>
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      <loc>https://www.mathplotai.com/en/case/relationship-between-circumference-diameter/ssss7f7l</loc>
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      <loc>https://www.mathplotai.com/zh/case/complex-numbers-and-transformations-by-steve-phelps/ssss7f7a</loc>
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      <loc>https://www.mathplotai.com/en/case/complex-numbers-and-transformations-by-steve-phelps/ssss7f7a</loc>
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      <loc>https://www.mathplotai.com/zh/case/intersection-of-a-cone-and-a-plane-the-conic-sections/ssss7f7c</loc>
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      <loc>https://www.mathplotai.com/en/case/intersection-of-a-cone-and-a-plane-the-conic-sections/ssss7f7c</loc>
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      <lastmod>2026-11-02T22:18:17+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/cylinder-volume-and-surface-area/ssss7f7h</loc>
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      <lastmod>2026-11-03T02:03:02+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/cylinder-volume-and-surface-area/ssss7f7h</loc>
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      <lastmod>2026-11-03T02:03:02+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/square-roots-and-cube-roots/ssss7f7t</loc>
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      <lastmod>2026-11-02T21:02:13+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/square-roots-and-cube-roots/ssss7f7t</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/square-roots-and-cube-roots/ssss7f7t"/>
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      <lastmod>2026-11-02T21:02:13+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/complex-numbers-what-s-my-rule-by-steve-phelps/ssss7f7x</loc>
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      <lastmod>2026-11-03T01:05:42+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/complex-numbers-what-s-my-rule-by-steve-phelps/ssss7f7x</loc>
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      <lastmod>2026-11-03T01:05:42+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/area-under-a-curve-interactive-integral-and-geometric-transformations/ssss7f7i</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/area-under-a-curve-interactive-integral-and-geometric-transformations/ssss7f7i"/>
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      <lastmod>2026-11-02T23:03:02+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/area-under-a-curve-interactive-integral-and-geometric-transformations/ssss7f7i</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/area-under-a-curve-interactive-integral-and-geometric-transformations/ssss7f7i"/>
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      <lastmod>2026-11-02T23:03:02+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/angle-bisector-by-jenna-anderson/ssss7f7o</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/angle-bisector-by-jenna-anderson/ssss7f7o"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/angle-bisector-by-jenna-anderson/ssss7f7o"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/angle-bisector-by-jenna-anderson/ssss7f7o"/>
      <lastmod>2026-11-03T02:23:12+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/angle-bisector-by-jenna-anderson/ssss7f7o</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/angle-bisector-by-jenna-anderson/ssss7f7o"/>
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      <lastmod>2026-11-03T02:23:12+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/dynamic-modifiable-equilateral-polygon-illustrator/ssss7fns</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dynamic-modifiable-equilateral-polygon-illustrator/ssss7fns"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/dynamic-modifiable-equilateral-polygon-illustrator/ssss7fns"/>
      <lastmod>2026-11-02T20:49:15+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/dynamic-modifiable-equilateral-polygon-illustrator/ssss7fns</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dynamic-modifiable-equilateral-polygon-illustrator/ssss7fns"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/dynamic-modifiable-equilateral-polygon-illustrator/ssss7fns"/>
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      <lastmod>2026-11-02T20:49:15+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/properties-of-a-rhombus-by-ron/ssss7fn7</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/properties-of-a-rhombus-by-ron/ssss7fn7"/>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/properties-of-a-rhombus-by-ron/ssss7fn7"/>
      <lastmod>2026-11-02T23:30:57+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/properties-of-a-rhombus-by-ron/ssss7fn7</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/properties-of-a-rhombus-by-ron/ssss7fn7"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/properties-of-a-rhombus-by-ron/ssss7fn7"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/properties-of-a-rhombus-by-ron/ssss7fn7"/>
      <lastmod>2026-11-02T23:30:57+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/parametric-butterfly-curve/ssss7fnn</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/parametric-butterfly-curve/ssss7fnn"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/parametric-butterfly-curve/ssss7fnn"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/parametric-butterfly-curve/ssss7fnn"/>
      <lastmod>2026-11-03T02:08:07+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/parametric-butterfly-curve/ssss7fnn</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/parametric-butterfly-curve/ssss7fnn"/>
      <xhtml:link rel="alternate" hreflang="en" href="https://www.mathplotai.com/en/case/parametric-butterfly-curve/ssss7fnn"/>
      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/parametric-butterfly-curve/ssss7fnn"/>
      <lastmod>2026-11-03T02:08:07+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/quadratic-function-graph-and-quadrilateral-geometry-exploration/ssss7fn2</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/quadratic-function-graph-and-quadrilateral-geometry-exploration/ssss7fn2"/>
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      <lastmod>2026-11-02T21:15:47+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/quadratic-function-graph-and-quadrilateral-geometry-exploration/ssss7fn2</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/quadratic-function-graph-and-quadrilateral-geometry-exploration/ssss7fn2"/>
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      <lastmod>2026-11-02T21:15:47+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/slope-and-proportional-relationships/ssss7fnk</loc>
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      <xhtml:link rel="alternate" hreflang="x-default" href="https://www.mathplotai.com/zh/case/slope-and-proportional-relationships/ssss7fnk"/>
      <lastmod>2026-11-02T19:03:30+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/slope-and-proportional-relationships/ssss7fnk</loc>
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      <lastmod>2026-11-02T19:03:30+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/limit-definition-of-the-derivative/ssss7fnz</loc>
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      <lastmod>2026-11-02T20:14:37+00:00</lastmod>
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    <url>
      <loc>https://www.mathplotai.com/en/case/limit-definition-of-the-derivative/ssss7fnz</loc>
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      <loc>https://www.mathplotai.com/zh/case/displaying-radical-numbers-on-the-number-line/ssss7fz2</loc>
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      <loc>https://www.mathplotai.com/zh/case/linear-programming-problem-by-shanlee/ssss7fz0</loc>
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      <loc>https://www.mathplotai.com/zh/case/graphing-sine-from-the-unit-circle/ssss7fzd</loc>
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      <loc>https://www.mathplotai.com/zh/case/cosine-unit-circle-radians/ssss7fzf</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/cosine-unit-circle-radians/ssss7fzf</loc>
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      <loc>https://www.mathplotai.com/zh/case/h-derivatives-dynamic-tangent-slope-demonstration/ssss7fz8</loc>
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      <lastmod>2026-11-02T21:18:54+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/rotational-symmetry-of-octahedron/ssss7fzu</loc>
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      <lastmod>2026-11-03T01:37:29+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/dynamic-construction-of-rectangle-and-rhombus-with-geometric-relations/ssss7fz5</loc>
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      <lastmod>2026-11-02T20:47:46+00:00</lastmod>
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      <lastmod>2026-11-02T20:47:46+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/multiplying-dividing-integers-interactive-practice/ssss7fzb</loc>
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      <lastmod>2026-11-02T19:29:27+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/multiplying-dividing-integers-interactive-practice/ssss7fzb</loc>
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      <lastmod>2026-11-02T19:29:27+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/dilation-demonstration-by-peter-mitchell/ssss7fz3</loc>
      <xhtml:link rel="alternate" hreflang="zh" href="https://www.mathplotai.com/zh/case/dilation-demonstration-by-peter-mitchell/ssss7fz3"/>
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      <lastmod>2026-11-02T23:44:11+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/angle-relationships-in-geometric-figures/ssss7f00</loc>
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      <loc>https://www.mathplotai.com/zh/case/logistic-growth-model-interactive-demo-1/ssss7ffb</loc>
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      <loc>https://www.mathplotai.com/zh/case/dynamic-demonstration-of-triangle-medians/ssss7ff3</loc>
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      <loc>https://www.mathplotai.com/en/case/dynamic-demonstration-of-triangle-medians/ssss7ff3</loc>
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      <loc>https://www.mathplotai.com/zh/case/projection-of-cuboid-diagonal-q5/ssss7ff1</loc>
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      <loc>https://www.mathplotai.com/zh/case/sine-cosine-tangent-quick-quiz/ssss7ffm</loc>
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      <loc>https://www.mathplotai.com/zh/case/tangram-build-the-triangle/ssss7ff6</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/tangram-build-the-triangle/ssss7ff6</loc>
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    <url>
      <loc>https://www.mathplotai.com/zh/case/simple-derivative-drill/ssss7ffg</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/simple-derivative-drill/ssss7ffg</loc>
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      <lastmod>2026-11-02T23:17:55+00:00</lastmod>
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      <loc>https://www.mathplotai.com/en/case/quadrilateral-constructions-by-taylor-rish/ssss7ff9</loc>
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      <lastmod>2026-11-03T02:50:46+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/geometric-representation-of-roots-of-unity-by-judah-l-schwartz/ssss7ffc</loc>
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      <loc>https://www.mathplotai.com/zh/case/perpendicular-line-construction-2/ssss7ffr</loc>
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      <loc>https://www.mathplotai.com/zh/case/dynamic-logarithmic-properties-demonstration/ssss7fft</loc>
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    <url>
      <loc>https://www.mathplotai.com/en/case/dynamic-logarithmic-properties-demonstration/ssss7fft</loc>
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      <loc>https://www.mathplotai.com/zh/case/inside-structure-of-multiplication-and-division/ssss7ffo</loc>
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      <loc>https://www.mathplotai.com/en/case/inside-structure-of-multiplication-and-division/ssss7ffo</loc>
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      <lastmod>2026-11-03T02:41:22+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/concave-lens-ray-diagrams-virtual-image-and-diverging-light-paths/ssss7f8s</loc>
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      <lastmod>2026-11-02T21:21:48+00:00</lastmod>
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      <lastmod>2026-11-02T21:21:48+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/volume-of-two-cones-cut-from-the-same-circle/ssss7f87</loc>
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      <loc>https://www.mathplotai.com/en/case/volume-of-two-cones-cut-from-the-same-circle/ssss7f87</loc>
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      <lastmod>2026-11-03T03:23:08+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/comparison-of-normal-and-binomial-distributions/ssss7f8n</loc>
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      <loc>https://www.mathplotai.com/en/case/comparison-of-normal-and-binomial-distributions/ssss7f8n</loc>
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      <lastmod>2026-11-03T01:06:50+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/the-game-of-arrows-adding-signed-numbers/ssss7f82</loc>
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      <lastmod>2026-11-02T23:49:56+00:00</lastmod>
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      <loc>https://www.mathplotai.com/zh/case/fractions-on-a-number-line-by-lillian-petersen/ssss7f8k</loc>
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      <loc>https://www.mathplotai.com/zh/case/point-and-geometric-relationship-demonstration/ssss7fu8</loc>
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