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线性插值

线性插值
几何画板及绘图内容加载中，请稍等……
2019-08-25 12:05
函数解析几何几何作图
这个范例演示了线性插值的过程。线性插值是一种在已知数据点之间进行数值估计的方法。通过构造摘要中的命令，我们可以看到使用了If语句、序列和文本字段等GeoGebra对象。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. If(sgn(f(C2)) ≟ sgn(f(A2)), C2, A2) → A3
  2. If(sgn(f(C2)) ≟ sgn(f(B2)), C2, B2) → B3
  3. If(sgn(f(C3)) ≟ sgn(f(A3)), C3, A3) → A4
  4. If(sgn(f(C3)) ≟ sgn(f(B3)), C3, B3) → B4
  5. If(sgn(f(C4)) ≟ sgn(f(A4)), C4, A4) → A5
  6. If(sgn(f(C4)) ≟ sgn(f(B4)), C4, B4) → B5
  7. If(sgn(f(C5)) ≟ sgn(f(A5)), C5, A5) → A6
  8. If(sgn(f(C5)) ≟ sgn(f(B5)), C5, B5) → B6
  9. If(sgn(f(C6)) ≟ sgn(f(A6)), C6, A6) → A7
  10. If(sgn(f(C6)) ≟ sgn(f(B6)), C6, B6) → B7
  11. If(sgn(f(C7)) ≟ sgn(f(A7)), C7, A7) → A8
  12. If(sgn(f(C7)) ≟ sgn(f(B7)), C7, B7) → B8
  13. If(sgn(f(C8)) ≟ sgn(f(A8)), C8, A8) → A9
  14. If(sgn(f(C8)) ≟ sgn(f(B8)), C8, B8) → B9
  15. If(sgn(f(C9)) ≟ sgn(f(A9)), C9, A9) → A10
  16. If(sgn(f(C9)) ≟ sgn(f(B9)), C9, B9) → B10
  17. If(sgn(f(C10)) ≟ sgn(f(A10)), C10, A10) → A11
  18. If(sgn(f(C10)) ≟ sgn(f(B10)), C10, B10) → B11
  19. If(sgn(f(C11)) ≟ sgn(f(A11)), C11, A11) → A12
  20. If(sgn(f(C11)) ≟ sgn(f(B11)), C11, B11) → B12
  21. If(sgn(f(C12)) ≟ sgn(f(A12)), C12, A12) → A13
  22. If(sgn(f(C12)) ≟ sgn(f(B12)), C12, B12) → B13
  23. If(sgn(f(C13)) ≟ sgn(f(A13)), C13, A13) → A14
  24. If(sgn(f(C13)) ≟ sgn(f(B13)), C13, B13) → B14
  25. If(sgn(f(C14)) ≟ sgn(f(A14)), C14, A14) → A15
  26. If(sgn(f(C14)) ≟ sgn(f(B14)), C14, B14) → B15
  27. If(sgn(f(C15)) ≟ sgn(f(A15)), C15, A15) → A16
  28. If(sgn(f(C15)) ≟ sgn(f(B15)), C15, B15) → B16
  29. Sequence((Element[lA, i], f(Element[lA, i])), i, 1, Drag + 0.75) → ListA
  30. Sequence((Element[lB, i], f(Element[lB, i])), i, 1, Drag + 0.5) → ListB
  31. Sequence((Element[lC, i], 0), i, 1, Drag + 0.25) → ListC
  32. Sequence(Segment[Element[ListC, i], (x(Element[ListC, i]), f(x(Element[ListC, i])))], i, 1, Drag) → ListVertical
  33. Sequence(Segment[Element[ListA, i], Element[ListB, i]], i, 1, Drag + 0.5) → ListLine
  34. TableText({{D1, E1, F1, G1, H1, I1, J1}, {D2, E2, F2, G2, H2, I2, J2}, {D3, E3, F3, G3, H3, I3, J3}, {D4, E4, F4, G4, H4, I4, J4}, {D5, E5, F5, G5, H5, I5, J5}, {D6, E6, F6, G6, H6, I6, J6}, {D7, E7, F7, G7, H7, I7, J7}, {D8, E8, F8, G8, H8, I8, J8}, {D9, E9, F9, G9, H9, I9, J9}, {D10, E10, F10, G10, H10, I10, J10}, {D11, E11, F11, G11, H11, I11, J11}, {D12, E12, F12, G12, H12, I12, J12}, {D13, E13, F13, G13, H13, I13, J13}, {D14, E14, F14, G14, H14, I14, J14}, {D15, E15, F15, G15, H15, I15, J15}, {D16, E16, F16, G16, H16, I16, J16}}, "|_lcccccc") → text1
  35. Textfield(f) → InputBox1
  36. Textfield(a) → InputBox2
  37. Textfield(b) → InputBox3
  38. Textfield(dp) → InputBox4