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习题|六上:借力图形变换,巧破面积难题选自新版人教版六年级上册第四单元《圆》练习十三“拓展提升”P73第9题。（乍一看这六年级学生怎么写呀？“内切圆”、“外接圆”定理都没学过，再想一想，用“图形变换”去构思，做完整个动画，回过头看，小学的方法更符合几何之美）构思的时候就想到了五下学的图形变换中的习题（现在在教材五上）环节 1：旋转找重合（阶段一 + 阶段二）
核心问题：①等边三角形转多少度和自己重合？②两个三角形面积相等么，为什么？环节2：四等分发现（阶段三）
连接三边中点后，大三角形被分成几份？每份一样大吗？操作： 点 D、E、F 连线 → 逐个点击区域数 → 3D 折叠验证环节 3：终极挑战（阶段四 → 解决教材第 9 题）
核心问题：如果小三角面积是 60，大三角面积是多少？操作：连 DEF → 隐藏红三角 → 观察蓝色三区域与红色关系可以看出skill指出的硬伤和问题其实就是上课教师要停顿，需要讲解批注的地方，交互动画只做嘴巴说不清不够直观的地方。在线网址 🔗
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