菱形猜想
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这个范例演示了菱形的性质和猜想。涉及的核心数学概念包括角度、距离和多边形。通过使用GeoGebra命令如Circle、Intersect、Polygon等,可以构造菱形并探索其性质。适合初中及以上学生或教师使用。
GeoGebra 命令及参数
Circle(A, B) → cCircle(B, A) → dIntersect(c, d, 1) → CCircle(C, B) → eIntersect(d, e, 2) → DPolygon(A, C, D, B) → poly1, a, c_1, d_1, bAngle(A, C, D) → αAngle(C, D, B) → βAngle(D, B, A) → γAngle(B, A, C) → δSegment(C, B) → fSegment(D, A) → gIntersect(f, g) → EAngle(C, E, A) → εAngle(A, E, B) → ζAngle(B, E, D) → ηAngle(D, E, C) → θDistance(C, D) → distanceCDMidpoint(C, D) →Distance(D, B) → distanceDBMidpoint(D, B) →Distance(B, A) → distanceBAMidpoint(B, A) →Distance(A, C) → distanceACMidpoint(A, C) →Distance(B, E) → distanceBEMidpoint(B, E) →Distance(E, D) → distanceEDMidpoint(E, D) →Distance(E, C) → distanceECMidpoint(E, C) →Distance(E, A) → distanceEAMidpoint(E, A) →