分数与小圆柱体动画演示
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所属专题
Congruence (CO) Cluster
Congruence (Vol 2)
CCSS High School: Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
CCSS High School: Geometry (Congruence) Volume 2
Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2
①本范例通过动画演示分数与小圆柱体的关系,直观展示分数的几何意义;②涉及核心数学概念包括分数、圆柱体、立体几何、算术运算和整数;③作图要点运用了射线、线段、旋转、角度、点、中点、最小值、圆、交点、圆扇形、线、多边形、缩放、向量、平移等GeoGebra命令和对象;④适合初中及以上学生学习立体几何和分数概念,也可用于数学教学演示。
GeoGebra 命令及参数
Ray(A, B) → fSegment(A, B) → gRotate(B, α, A) → B'Angle(B, A, B') → βRay(A, B') → hPoint(h) → CSegment(C, B) → iSegment(A, C) → jMidpoint(j) → DMidpoint(i) → ESegment(D, E) → kMidpoint(k) → FMin({j / 2, k / 2}) → aCircle(A, (0.35 * a)) → cIntersect(c, j, 1) → GIntersect(c, g, 1) → HCircleSector(A, H, G) → dLine(D, E) → lCircle(D, 2) → eCircle(E, 2) → pIntersect(e, l, 1) → IIntersect(p, l, 2) → JRay(D, I) → mRay(E, J) → nPolygon(A, B, C) → poly1, c_1, a_1, bDilate(A, If[0 < o ≤ 1, 1 - o, 0], B) → A'Segment(A, A') → qDilate(A, If[1 < o ≤ 2, 2 - o, 0], D) → A'_1Segment(A, A'_1) → rDilate(D, If[2 < o ≤ 3, 3 - o, 0], C) → D'Segment(D, D') → sRotate(A, If[3 < o ≤ 4, ((o - 3) * π), π], D) → A'_2Rotate(A'_1, If[3 < o ≤ 4, ((o - 3) * π), π], D) → KSegment(A'_2, K) → r'Dilate(B, If[4 < o ≤ 5, 5 - o, 0], E) → B'_1Segment(B, B'_1) → tDilate(E, If[5 < o ≤ 6, 6 - o, 0], C) → E'Segment(E, E') → f_1Rotate(B, If[6 < o ≤ 7, ((-(o - 6)) * π), (-π)], E) → B'_2Rotate(B'_1, If[6 < o ≤ 7, ((-(o - 6)) * π), (-π)], E) → LSegment(B'_2, L) → t'Dilate(D, If[7 < o ≤ 8, 8 - o, 0], F) → D'_1Segment(D, D'_1) → g_1Dilate(A, If[8 < o ≤ 9, 9 - o, 0], D) → A'_3Vector(A, A'_3) → uTranslate(d, u) → d'Dilate(F, If[9 < o ≤ 10, 10 - o, 0], E) → F'Segment(F, F') → h_1
AI 绘图提示语参考
绘制一个三角形,其顶点由一条射线上的点与底边两端构成,底边水平。在三角形内部,从底边中点到对边中点画一条中位线,并取其中点。以底边一端为圆心,画一个小圆,与底边和一条边相交,形成一个小扇形。随后,通过一系列平移、旋转和缩放操作,将三角形分割成多个部分,并逐步移动或旋转这些部分,模拟分数与圆柱体关系的动画。整个图形包含多个线段、圆、扇形和动态变化的点,展示几何变换过程。
以上提示语为根据原始绘图命令整理而来,仅供参考。