圆锥术语定义

GeoGebra 命令及参数

1. TableText({{"Conic Sections", "Equation", "Eccentricity (e)", "Linear Eccentricity (c)", "Semi-Latus Rectum (l)", "Focal Parameter (p)"}, {"Circle", LaTeX["x^2 + y^2 = a^2"], "0", "0", "a", "∞"}, {"Ellipse", LaTeX["\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1"], LaTeX["\sqrt{1 - \frac{b^2}{a^2}}"], LaTeX["\sqrt{a^2 - b^2}"], LaTeX["\frac{b^2}{a}"], LaTeX["\frac{b^2}{\sqrt{a^2 - b^2}}"]}, {"Parabola", LaTeX["y^2 = 4 a x"], "1", "a", "2a", "2a"}, {"Hyperbola", LaTeX["\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1"], LaTeX["\sqrt{1 + \frac{b^2}{a^2}}"], LaTeX["\sqrt{a^2 + b^2}"], LaTeX["\frac{b^2}{a}"], LaTeX["\frac{b^2}{\sqrt{a^2 + b^2}}"]}}, "c|_") → text1
2. TableText({{"The\; \bold{linear\; eccentricity}\; (c)\; is\; the\; distance\; between\; the\; center\; and\; the\; focus\; (or\; one\; of\; the\; two\; foci)."}, {"The\; \bold{latus\; rectum}\; (2 \ell)\; is\; the\; chord\; parallel\; to\; the\; directrix\; and\; passing\; through\; the focus\; (or\; one\; of\; the\; two\; foci)."}, {"The\; \bold{semi-latus\; rectum}\; (\ell)\; is\; half\; the\; latus\; rectum."}, {"The\; \bold{focal\; parameter}\; (p)\; is\; the\; distance\; from\; the\; focus\; (or\; one\; of\; the\; two\; foci)\; to\; the\; directrix."}, {"The following relations hold:"}, {"\;\;\; p e = \ell \,"}, {"\;\;\; a e = c. \,"}}, "l") → text2