等距变换
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所属专题
Mathematics Form 2
这个范例演示了等距变换的概念。等距变换包括平移、旋转、反射和滑动。通过使用GeoGebra命令如Translate、Rotate、Mirror和Shear,可以直观地展示这些变换如何保持图形的大小和形状不变。适合初中及以上学生学习几何变换。
GeoGebra 命令及参数
SelectedIndex(Bahasa) → nnPolygon(A, B, C) → poly1, c, a, bPointIn(poly1) → PPointIn(poly1) → QIf(nn ≟ 1, {"Translation", "Reflection", "Rotation", "Transformation 4", "Transformation 5", "Transformation 6"}, {"Translasi", "Pantulan", "Putaran", "Transformasi 4", "Transformasi 5", "Transformasi 6"}) → TransformSelectedIndex(Transform) → mVector(G, H) → uTranslate(A, u) → A'Translate(B, u) → B'Translate(C, u) → C'Polygon(A', B', C') → poly1', c', a', b'Translate(P, u) → P'Translate(Q, u) → Q'Line(D, E) → fMirror(A, f) → A'_1Mirror(B, f) → B'_1Mirror(C, f) → C'_1Polygon(A'_1, B'_1, C'_1) → poly1'_1, c'_1, a'_1, b'_1Mirror(P, f) → P'_1Mirror(Q, f) → Q'_1Rotate(A, Ar°, F) → A'_2Rotate(B, Ar°, F) → B'_2Rotate(C, Ar°, F) → C'_2Polygon(A'_2, B'_2, C'_2) → poly1'_2, c'_2, a'_2, b'_2Rotate(P, Ar°, F) → P'_2Rotate(Q, Ar°, F) → Q'_2Dilate(A, Sf, K) → A'_3Dilate(B, Sf, K) → B'_3Dilate(C, Sf, K) → C'_3Polygon(A'_3, B'_3, C'_3) → poly1'_3, c'_3, a'_3, b'_3Dilate(P, Sf, K) → P'_3Dilate(Q, Sf, K) → Q'_3Line(L, M) → gShear(A, g, Sr) → A'_4Shear(B, g, Sr) → B'_4Shear(C, g, Sr) → C'_4Polygon(A'_4, B'_4, C'_4) → poly1'_4, c'_4, a'_4, b'_4Shear(P, g, Sr) → P'_4Shear(Q, g, Sr) → Q'_4Line(I, J) → hStretch(A, h, Str) → A'_5Stretch(B, h, Str) → B'_5Stretch(C, h, Str) → C'_5Polygon(A'_5, B'_5, C'_5) → poly1'_5, c'_5, a'_5, b'_5Stretch(P, h, Str) → P'_5Stretch(Q, h, Str) → Q'_5Segment(G, H) → iCircle(H, 0.3) → dIntersect(d, i, 1) → NRotate(N, 30°, H) → N'Rotate(N, (-(30°)), H) → N'_1Segment(H, N'_1) → jSegment(H, N') → kDistance(P, Q) → ODSegment(Q, P) → lSegment(P', Q') → nSegment(P'_1, Q'_1) → pSegment(P'_2, Q'_2) → qSegment(P'_3, Q'_3) → rSegment(P'_4, Q'_4) → sSegment(P'_5, Q'_5) → tIf(nn ≟ 1, "Distance ", "Jarak ") → Tex1If(nn ≟ 1, If[OD ≤ 1, " unit", " units"], " unit") → Tex2If(nn ≟ 1, If[Jr ≤ 1, " unit", " units"], " unit") → Tex3
AI 绘图提示语参考
绘制一个三角形ABC,然后依次进行平移、反射、旋转、仿射变换和伸缩变换,每种变换后生成新的三角形,并将变换前后的点也显示出来。首先平移三角形ABC到A'B'C',然后反射到A'_1B'_1C'_1,接着旋转到A'_2B'_2C'_2,再进行仿射变换到A'_4B'_4C'_4,最后伸缩变换到A'_5B'_5C'_5。
以上提示语为根据原始绘图命令整理而来,仅供参考。