构造等腰梯形
几何画板及绘图内容加载中,请稍等……
本范例演示了如何使用 GeoGebra 构造一个等腰梯形。核心数学概念包括几何作图和多边形的性质。作图要点包括使用圆、线段、旋转和多边形等 GeoGebra 命令。适合的学段或用途包括中小学的几何学科教学。
GeoGebra 命令及参数
Element(randomNumbersC, Mod[questionCount, Length[randomNumbersC]] + 1) → sliderCOriginalElement(randomNumbersB, Mod[questionCount, Length[randomNumbersB]] + 1) → sliderBOriginalElement(randomNumbersA, Mod[questionCount, Length[randomNumbersA]] + 1) → sliderAOriginalShuffle({1, 2, 3, 4}) → bspList, {1, 2, 4, 3}Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {3, 6, 1, 10, 2, 2, 6, 5, 1, 8}Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumberSegment(A, B) → segABRotate(B, winkel, A) → B'Ray(A, B') → gPolygon((-6, 8), (8, 8), (8, 12), (-6, 12)) → q1, h, i, j, kAngle(B, A, B') → αAngle(B, A, B') → alph1Circle(A, sideD) → cPoint(c) → CPoint(c) → DRotate(A, (-winkel), B) → A'Ray(B, A') → lAngle(A', B, A) → βCircle(B, sideD) → ePoint(e) → FPoint(e) → GCircleArc(B, F, G) → pPoint(e) → SPoint(e) → TCircle(A, sideB) → p_1Point(p_1) → UCircleArc(A, U, V) → q_1Circle(B, sideB) → r_1Point(r_1) → WPoint(r_1) → ZCircleArc(B, W, Z) → s_1Circle(B, sideD) → t_1Point(t_1) → A_1Point(t_1) → B_1CircleArc(B, A_1, B_1) → c_2Intersect(If[bsp ≟ 1, s_1, If[bsp ≟ 3, c_2]], l) → H,Circle(A, sideD) → d_2Point(d_2) → C_1Point(d_2) → D_1CircleArc(A, C_1, D_1) → e_2Intersect(If[bsp ≟ 3, e_2, If[bsp ≟ 1, q_1]], g) → E,Segment(E, H) → segCDSegment(A, E) → segADSegment(B, H) → segBCAngle(A, E, H) → γAngle(E, H, B) → δSegment(I, J) → segCD2Rotate(I, winkel, J) → I'Polygon((-6, 0.5), (9, 0.5), (9, -3), (-6, -3)) → q2, m, n, q, rRay(J, I') → sAngle(I, J, I') → εRotate(J, (-winkel), I) → J'Ray(I, J') → tAngle(J', I, J) → ζCircle(I, sideD) → c_1Point(c_1) → KCircleArc(I, K, L) → d_1Circle(I, sideB) → f_2Point(f_2) → G_1Point(f_2) → H_1CircleArc(I, G_1, H_1) → g_2Intersect(If[bsp ≟ 2, d_1, If[bsp ≟ 4, g_2]], t) → M,Segment(I, M) → segAD2Circle(J, sideD) → e_1Point(e_1) → NPoint(e_1) → OCircleArc(J, N, O) → f_1Circle(J, sideB) → dPoint(d) → E_1Point(d) → F_1CircleArc(J, E_1, F_1) → k_1Intersect(If[bsp ≟ 2, f_1, If[bsp ≟ 4, k_1]], s) → P,Segment(J, P) → segBC2Segment(M, P) → segAB2Angle(P, M, I) → ηAngle(J, P, M) → θPolygon((-6, -4), (-6, 12), (9, 12), (9, -4)) → q3, a, b, g_1, h_1Segment(A - (0, .12), A + (0, 0.12)) → seg1Segment(B - (0, .12), B + (0, 0.12)) → seg2Segment(I - (0, .12), I + (0, 0.12)) → seg3Segment(J - (0, .12), J + (0, 0.12)) → seg4
AI 绘图提示语参考
画一个等腰梯形,首先绘制一条基线,然后利用旋转和圆的相交构造梯形的非平行边,确保两腰等长,最后连接各顶点形成封闭图形,并标注关键角度。
以上提示语为根据原始绘图命令整理而来,仅供参考。