线性函数变化率练习
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①本范例演示线性函数的变化率(斜率)计算与可视化;②涉及核心数学概念:线性函数、斜率、坐标几何;③作图要点:使用了Random, Line, Textfield, Polygon, LaTeX, Sequence, TableText等GeoGebra命令与对象;④适合高中数学教学,用于理解函数图像与斜率关系。
GeoGebra 命令及参数
Random(-10, 10) → n_1Line(B, A) → aTextfield(deltay) → InputBox2Random(-5, 5) → mRandom(-10, 10) → nTextfield(b) → InputBox3Textfield(g) → InputBox1Polygon(C, D, E, F) → poly1, c_1, d, e, f_1LaTeX(deltax_1, true, true) → text10LaTeX(intersecty, true, true) → text11LaTeX(deltay_1, true, true) → text12Sequence(((deltax * i), intersecty + (deltay_1 * i)), i, -20, 20) → list1Sequence(Segment[A + ((deltax * (i + 1)), (deltay_1 * i)), A + ((deltax * (i + 1)), (deltay_1 * (i + 1)))], i, -20, 20) → risesSequence(Segment[A + ((deltax * i), (deltay_1 * i)), A + ((deltax * (i + 1)), (deltay_1 * i))], i, -20, 20) → runsTextfield(i) → InputBox4LaTeX(deltax, true, true) → text6Random(-3, 3) → jTableText({{p, k, k_1}, {A2, B2, C2}, {A3, B3, C3}, {A4, B4, C4}, {A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}, {A8, B8, C8}}, "|_lll") → text2