特殊直角三角形游戏
几何画板及绘图内容加载中,请稍等……
①本范例演示特殊直角三角形(30°-60°-90°和45°-45°-90°)的构造与性质;②涉及核心数学概念包括直角三角形、三角函数、比例关系、分数、几何变换等;③构造过程中运用了Segment、Point、Midpoint、Rotate、Line、Intersect、Mirror、Polygon、Angle、Textfield、OrthogonalLine、Element、LaTeX等GeoGebra命令与对象;④适合初中及以上数学学习者,用于理解和应用特殊直角三角形的几何与三角知识。
GeoGebra 命令及参数
Segment(B, A) → dSegment(C, B) → pSegment(D, A) → kPoint(k) → FMidpoint(D, F) → MRotate(D, 90*°, M) → D'Line(D', p) → g_1Segment(C, D) → rIntersect(g_1, r) → PMirror(P, D') → P'Segment(D', P') → k_1Midpoint(B, A) → IMidpoint(B, I) → JLine(J, p) → sIntersect(r, s) → GMidpoint(G, J) → NSegment(N, J) → i_1Line(B, yAxis) → eLine(A, yAxis) → fSegment(C, B) → jPoint(j) → EPolygon(E, B, A) → poly1, a_1, e_1, b_1Polygon(F, B, A) → poly2, a_2, f_1, b_2Angle(A, B, F) → αAngle(B, F, A) → βAngle(B, E, A) → γAngle(E, A, B) → δAngle(A, B, E) → εAngle(F, A, B) → ζSegment(D, A) → qMidpoint(I, A) → KLine(K, s) → tIntersect(r, t) → HSegment(G, J) → c_1Point(i_1) → LPolygon(L, A, D) → poly3, d_1, l_1, a_3Angle(L, D, A) → ηAngle(D, A, L) → θSegment(P, P') → h_1Point(k_1) → QPolygon(Q, D, F) → poly4, f_2, q_1, d_2Angle(Q, D, A) → ιAngle(D, A, Q) → κSegment(D', Q) → j_1Midpoint(H, K) → SSegment(S, K) → m_1Point(m_1) → TPolygon(C, T, B) → poly5, b_3, c_2, t_1Angle(B, C, T) → λAngle(T, B, C) → μMidpoint(S, M) → UMidpoint(K, A) → VSegment(U, V) → n_1Point(n_1) → WPolygon(C, W, B) → poly6, b_4, c_3, wAngle(W, B, C) → νAngle(B, C, W) → ξSegment(L, A) → p_1Segment(A, D) → r_1Segment(L, D) → s_1Segment(L, A) → e_2Segment(L, D) → g_2Segment(A, D) → h_2Segment(C, T) → i_2Segment(T, B) → j_2Segment(C, B) → k_2Segment(C, T) → l_2Segment(T, B) → m_2Segment(C, B) → n_2Segment(Q, D) → p_2Segment(D, F) → q_2Segment(Q, F) → r_2Segment(Q, D) → s_2Segment(D, F) → t_2Segment(Q, F) → d_3Segment(C, W) → e_3Segment(W, B) → f_3Segment(C, B) → g_3Segment(C, W) → h_3Segment(W, B) → i_3Segment(C, B) → j_3Textfield(text1) → inputBox1Textfield(Work) → inputBox2Line(A, L) → k_3OrthogonalLine(L, k_3) → l_3Point(l_3) → ZElement(answer, Problem) → m_3Angle(A, L, D) → οAngle(A, L, D) → ρAngle(A, L, D) → σAngle(F, Q, D) → τAngle(F, Q, D) → υAngle(F, Q, D) → ϕAngle(C, T, B) → χAngle(C, T, B) → ψAngle(C, T, B) → ωAngle(C, W, B) → α_1Angle(C, W, B) → β_1Angle(C, W, B) → γ_1Element(angle, Problem) → δ_1LaTeX(right, true, true) → text3LaTeX(wrong, true, true) → text4Textfield(Name) → inputBox3Textfield(Date) → inputBox4Segment(C_1, D_1) → n_3Point(n_3) → E_1Ellipse(A_1, B_1, E_1) → p_3Mirror(B, A) → B'Ellipse(C, B', E_1) → q_3Point(q_3) → F_1Point(q_3) → G_1
AI 绘图提示语参考
画一个包含30°-60°-90°和45°-45°-90°特殊直角三角形的几何图形,展示它们的构造和性质。首先画出两个直角三角形,然后通过旋转、镜像和连接等操作构造出新的图形。标注关键点、线段和中点,并显示角度和文本信息,帮助理解三角形的边长比和角度关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。