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1、第 1 页 共 3 页【中考数学必备专题中考数学必备专题】中考模型解题系列之大中考模型解题系列之大角夹半角模型角夹半角模型一、解答题一、解答题(共共 1 道，每道道，每道 100 分分)1.（2010 重庆改编）等边的两边 AB、AC 所在直线上分别有两点 M、N，D 为外一点，且,BD=DC.探究：当 M、N 分别在直线AB、AC 上移动时，BM、NC、MN 之间的数量关系及的周长 Q 与等边的周长 L 的关系 （I）如图 1，当点 M、N 在边 AB、AC 上，且 DM=DN 时，BM、NC、MN 之间的数量关系是_；此时_；（II）如图 2，点 M、N 在边 AB、AC 上，且当 DMD
2、N 时，猜想（I）问的两个结论还成立 吗？写出你的猜想并加以证明；（III）如图 3，当 M、N 分别在边 AB、CA 的延长线上时，若 AN=，则 Q=_（用 、L 表示） 第 2 页 共 3 页内部资料，请勿外传！#XuyUP2kNXpRWXmA&UE9aQGn8xp$R#͑GxGjqv$UE9wEwZ#QcUE%&qYpEh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu#KN&MuWFA5uxY7JnD6YWRrWwcvR9CpbK!zn%Mz849GxGjqv$UE9wEwZ#QcUE%&qYpEh5pDx2zVk
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