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因式分解三项式练习

因式分解三项式练习
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2017-08-23 03:38
函数微积分几何作图
①本范例演示因式分解三项式的过程与结果；②涉及核心数学概念包括因式分解、二次函数、代数运算；③构造过程中使用了 GeoGebra 命令/对象：Coefficients（系数）、Simplify（化简）、Textfield（文本框）、If（条件判断）、LaTeX（公式显示）、Polygon（多边形）、AttachCopyToView（附加复制到视图）；④适合高中数学学生练习和巩固因式分解技能，也可用于教学演示。

GeoGebra 命令及参数

  1. Coefficients(h) → list1
  2. Simplify(f) → g
  3. Textfield(h) → InputBox1
  4. Simplify(h) → i
  5. Textfield(p_a) → InputBox2
  6. Textfield(q_a) → InputBox3
  7. If(p ≟ p_a ∧ q ≟ q_a, j ≟ false ∧ e ≟ true) → k
  8. If(p ≟ p_a ∧ q ≟ q_a, j ≟ false ∧ e ≟ true) → l
  9. LaTeX(test, true, true) → text6
  10. Polygon(A, B, C, D) → polyHint1, a_2, b_2, c_2, d_2
  11. Polygon(E, F, G, H) → polyHint2, e_2, f_2, g_2, h_2
  12. AttachCopyToView(polyHint1, 0, (-13.61033721841785, -11.743366090225695), (29.773303304999846, 11.281757544543183), (0, 449), (846, 0)) → poly1
  13. AttachCopyToView(polyHint2, 1, (-13.61033721841785, -11.743366090225699), (29.773303304999846, 11.281757544543183), (-6.999999999999998, 381), (839, -68)) → poly3
  14. AttachCopyToView(polyHint1, 1, (-13.405213622562448, -11.7433660902257), (29.97842690085525, 11.281757544543183), (-2.598594982838221, 383.0027209767809), (843.4014050171618, -65.99727902321901)) → poly4
  15. Polygon(I, J, K, L) → poly5, i_2, j_2, k_2, l_5
  16. AttachCopyToView(poly5, 1, (-11.046292270225313, -11.640804292298), (32.33734825319238, 11.384319342470883), (-535.5977186251548, 626.5040355133063), (310.40228137484496, 177.50403551330638)) → poly6
  17. Polygon(M, N, O, P) → poly2, m_2, n_2, o_2, p_2
  18. AttachCopyToView(poly2, 1, (-18.687146215839064, -16.768894188683053), (24.696494307578632, 6.256229446085831), (-22.099909519363543, 390.50578822867357), (823.9000904806364, -58.494211771326405)) → poly7
  19. Polygon(Q, R, S, T) → poly8, q_2, r_1, s_1, t_1
  20. AttachCopyToView(poly8, 1, (-17.200000145887387, -13.179231261213516), (26.183640377530313, 9.845892373555365), (-51.999999999999986, 429), (794, -19.999999999999996)) → poly9