使用图像解二次不等式
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①本范例通过图像演示二次不等式的解法;②涉及核心数学概念为二次函数图像与不等式解集;③作图要点:使用Random, If, Segment, Point, Textfield等GeoGebra命令和对象构建函数图像与不等式区域;④适合高中数学学习者和教师用于教学与练习。
GeoGebra 命令及参数
Random(1, 5) → qqIf(Random[1, 4] < 4, "+", "-") → asignIf(p + qq ≟ 0, Random[1, 5], p + qq) → qRandom(1, 5) → rRandom(0, 1) → ineqRandom(0, 1) → eqIf(ineq ≟ 0, If[eq ≟ 0, "<", "≤"], If[eq ≟ 0, ">", "≥"]) → eqtextSegment(E, F) → cPoint(c) → APoint(c) → BTextfield(pz) → InputBox1Textfield(qz) → InputBox2If(eq ≟ 0, "<", "≤") → regeqIf(eq ≟ 0, ">", "≥") → regeq2Textfield(answ1) → InputBox3Textfield(answ2) → InputBox4If(pz ≟ p ∧ qz ≟ q ∨ pz ≟ q ∧ qz ≟ p, "✔", "X") → chk1If(eq ≟ 0 ∧ e ≟ false ∨ eq ≟ 1 ∧ e ≟ true, "✔", "X") → chk2If(asign ≟ "+" ∧ a ≟ true ∨ asign ≟ "-" ∧ a ≟ false, "✔", "X") → chk3If(ineq ≟ 1 ∧ b ≟ true ∨ ineq ≟ 0 ∧ b ≟ false, "✔", "X") → chk4If(asign ≟ "+" ∧ ineq ≟ 1 ∧ d ≟ false ∨ asign ≟ "+" ∧ ineq ≟ 0 ∧ d ≟ true ∨ asign ≟ "-" ∧ ineq ≟ 1 ∧ d ≟ true ∨ asign ≟ "-" ∧ ineq ≟ 0 ∧ d ≟ false, "✔", "X") → chk5If(answ1 ≟ p ∧ answ2 ≟ q, "✔", "X") → chk6