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某课题小组对课本的习题进行了如下探索,请逐步思考并解答:
(1)如图1,两个大小一样的传送轮连接着一条传送带,两个传动轮中心的距离是10m,求这条传送带的长 _________
(2)改变图形的数量;如图2、将传动轮增加到3个,每个传动轮的直径是3m,每两个传动轮中心的距离是10m,求这条传送带的长 _________ ;
(3)改变动态关系,将静态问题升华为动态问题:如图3,一个半径为1cm的⊙P沿边长为2πcm的等边三角形△ABC的外沿作无滑动滚动一周,求圆心P经过的路径长?⊙P自转了多少周?
(4)拓展与应用如图4,一个半径为1cm的⊙P沿半径为3cm的⊙O外沿作无滑动滚动一周,则⊙P自转了多少周?
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参考答案:
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参考解析:
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