AEF.CSS组合:袜子和鞋子
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这个范例演示了如何使用GeoGebra创建复杂的数学图形,涉及的核心数学概念包括频率分布、复数、函数、线性规划或线性优化以及加法。作图要点包括使用Point、Zip、Union、Textfield、Sequence、Vector等GeoGebra命令和对象。适合高中及以上数学学习者和教师使用,用于教学和探索数学概念。
GeoGebra 命令及参数
Point(b_1) → AZip(x(P), P, r1list) → r1xlZip({Roots[f_1(x) - P, -4, 4]}, P, r1xl) → r2listUnion(Element[r2list, 1], Element[r2list, 2]) → r2lPoint(yAxis) → A_xTextfield(f_1) → inputBox1Textfield(f_2) → inputBoxfSequence(Vector[(6, f_1(q(R(i)))), (8, f_2(f_1(q(R(i)))))], i, 1, 5) → QuadgvlistSequence(Vector[(4, q(R(i))), (6, f_1(q(R(i))))], i, 1, 5) → QuadmvlistSequence(Vector[(0, i), (2, R(i))], i, 1, 5) → QuadRvlistSequence(Vector[(2, R(i)), (4, q(R(i)))], i, 1, 5) → QuadqvlistPoint(i) → KVector(K, s_{inv}D) → wVector(s_{inv}D, m_{invSinvD}) → zVector(m_{invSinvD}, q_{inv+}) → dVector(q_{inv+}, I) → h_1Vector(q_{inv-}, J) → jSequence(Vector[(0, i), (2, f_1(i))], i, -2, 2) → LinmvlistSequence(Vector[(2, f_1(i)), (4, f_2(f_1(i)))], i, -2, 2) → LinsvlistTextfield(h) → inputBox2Textfield(b) → inputBox3Textfield(m_*) → inputBox4Textfield(f_1) → inputBox5Textfield(f_2) → inputBox6Zip((0, x(P)), P, r2l) → MDr1listZip((2, p), p, r1xl) → MDr2listZip(Vector[A, P], P, MDr2list) → vev2lPoint(yAxis) → BVector(B, C) → uVector(C, D) → vZip((2, f_1(x(P))), P, r2l) → list1Zip(Vector[Q, P], P, MDr1list, Q, list1) → vec1lZip(Vector[P, (4, f_2(f_1(y(P))))], P, MDr1list) → LinfvlistTextfield(f_1) → InputBox1Textfield(f_2) → InputBox2Zip(x(P), P, r2l) → solnlist