相邻角缺失值计算:利用角度性质求解

相邻角缺失值计算:利用角度性质求解
几何画板及绘图内容加载中,请稍等……
2023-12-21 19:14
该范例演示了如何通过相邻角的性质计算缺失角度值。核心数学概念包括相邻角、角度性质及线性对顶角定理。作图要点涉及使用GeoGebra命令如Angle、Polygon和Segment来构造角度图形。适合6-8年级学生用于几何练习和课堂演示。

GeoGebra 命令及参数

  1. Shuffle(Sequence[(x(A); t), t, 100°, 179°, 1°]) → allBig, {(4; 102*°), (4; 152*°), (4; 139*°), (4; 121*°), (3.9999999999999996; 168*°), (4; 129*°), (4.000000000000001; 125*°), (4; 155*°), (4; 118*°), (4; 128*°), (3.9999999999999996; 108*°), (3.9999999999999996; 165*°), (4; 163*°), (3.9999999999999996; 126*°), (4; 123*°), (4; 103*°), (4; 131*°), (4; 116*°), (3.9999999999999996; 160*°), (3.9999999999999996; 107*°), (4; 110*°), (4.000000000000001; 178*°), (4; 156*°), (3.9999999999999996; 114*°), (4; 162*°), (4; 115*°), (4; 158*°), (3.9999999999999996; 171*°), (4; 113*°), (4; 175*°), (3.9999999999999996; 132*°), (4; 127*°), (4; 159*°), (3.9999999999999996; 122*°), (4; 166*°), (3.9999999999999996; 119*°), (4; 130*°), (3.9999999999999996; 133*°), (4.000000000000001; 149*°), (3.9999999999999996; 173*°), (4; 144*°), (4; 136*°), (4; 143*°), (4; 177*°), (4; 151*°), (4.000000000000001; 174*°), (4; 172*°), (4; 138*°), (3.9999999999999996; 140*°), (4; 167*°), (4; 117*°), (3.9999999999999996; 142*°), (4; 135*°), (4; 147*°), (4; 124*°), (4; 112*°), (4; 145*°), (3.9999999999999996; 100*°), (4; 120*°), (3.9999999999999996; 104*°), (3.9999999999999996; 134*°), (4; 179*°), (4; 146*°), (3.9999999999999996; 141*°), (3.9999999999999996; 169*°), (4; 164*°), (4; 170*°), (4; 111*°), (4; 150*°), (4; 161*°), (4; 101*°), (3.9999999999999996; 105*°), (3.999999999999999; 106*°), (3.9999999999999996; 109*°), (4; 176*°), (4; 137*°), (3.9999999999999996; 157*°), (4; 153*°), (4.000000000000001; 148*°), (4; 154*°)}
  2. Shuffle(Sequence[t, t, 20, angBig - 25, 1]) → allAngMini, {65, 32, 63, 50, 33, 54, 35, 20, 39, 66, 41, 31, 30, 70, 49, 67, 77, 57, 56, 61, 22, 44, 43, 72, 40, 53, 25, 62, 51, 42, 37, 46, 52, 45, 47, 23, 59, 58, 26, 71, 28, 73, 64, 34, 27, 76, 29, 69, 24, 48, 38, 36, 55, 68, 75, 74, 60, 21}
  3. Element(allAngMini, Mod[countQuestion, Length[allAngMini]] + 1) → angMini
  4. Textfield(input1) → InputBox1
  5. TextToUnicode(("" * InputBox1)) → studUniCurrent
  6. Rotate(A, angMini°, O) → B
  7. Rotate(A, bigA, O) → AF
  8. Angle(B, O, AF) → angBOF
  9. Textfield(input2) → InputBox2
  10. Polygon(Zip[PixelsToPoint[Corner[1], Corner[3], Corner[5], A], A, {(pixelsLeft, pixelsTop), (pixelsLeft, y(Corner[5]) - pixelsBottom), Corner[5] - (pixelsRight, pixelsBottom), (x(Corner[5]) - pixelsRight, pixelsTop)}]) → borderBox
  11. Corner(5) → layoutAppSize
  12. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
  13. Element({If[layoutX ≟ 16, layoutX - 5, 11], layoutX - 5}, layoutCase) → layoutHintSolnX
  14. Angle(A, O, B) → angAOB
  15. Point(Vector[(1.8 * UnitVector[AngularBisector[AA, O, BB]])], 1) → posLabelAOB
  16. Point(Vector[(4.4 * UnitVector[AngularBisector[AA, O, AFF]])], 1) → posLabBig
  17. Segment(O, AF) → vert
  18. Segment(O, A) → hor
  19. Segment(O, B') → angSide
  20. Point(Vector[(1.8 * UnitVector[AngularBisector[B', O, AF]])], 1) → posLabelSol2
  21. Angle(A, O, B') → solCase1
  22. Point(Vector[(1.8 * UnitVector[AngularBisector[A, O, B']])], 1) → posLabelSol1
  23. Point(Vector[(2.2 * UnitVector[AngularBisector[BB, O, AFF]])], 1) → posLabelBOF
  24. If(showhint, 3, 0) → speed
  25. Rotate(A, ((2 * aniSli) * input1°), O) → SA
  26. Segment(O, SA) → studSide
  27. CircleArc(O, A, AF) → c
  28. Angle(A, O, SA) → studAng

AI 绘图提示语参考

绘制一个几何图形,用于求解相邻角中的未知角度。从公共顶点出发,画一条水平射线和一条斜射线,形成一个大角。在大角内部,用另一条射线将其分成两个相邻角,其中一个角的角度未知,另一个角的角度已知。用弧线标出各角,并标注已知角度值。在未知角处放置一个输入框,供用户填写答案。图形应清晰展示角的顶点、射线和角度标记,适合初中几何练习。
以上提示语为根据原始绘图命令整理而来,仅供参考。