2025年中考数学二轮专题复习-专题三 线段最值方法高效拆分特训（含解析）

中小学教育资源及组卷应用平台 2025年中考二轮专题复习-几何压轴题高效拆分特训 专题三 线段最值方法高效拆分特训 INCLUDEPICTURE"标1.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\标1.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\标1.tif" \* MERGEFORMATINET 特训18　一动一定型INCLUDEPICTURE"标2.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\标2.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\标2.tif" \* MERGEFORMATINET INCLUDEPICTURE"条单.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\条单.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\条单.tif" \* MERGEFORMATINET 模型解读 模型 垂线段最短INCLUDEPICTURE"SK18-1.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK18-1.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK18-1.tif" \* MERGEFORMATINET 条件：如图，A是定点，直线l 是动点P的运动路径．方法：根据垂线段最短，作出该线段最短时的图形(如图)，再求最小值，有时也利用转化思想，将所求线段进行转化，从而确定最小值. 结论：当AP⊥l时，AP的长度最小(即AP′). INCLUDEPICTURE"条单.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\条单.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\条单.tif" \* MERGEFORMATINET 典题训练 1．如图，在△ABC中，∠BAC＝90°，AC＝4，AB＝3，M为BC边上的动点，ME⊥AB于点E，MF⊥AC于点F，N为EF的中点，则MN的最小值为_____． INCLUDEPICTURE"SK18-2.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK18-2.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK18-2.tif" \* MERGEFORMATINET (第1题)　　　　INCLUDEPICTURE"SK18-3.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK18-3.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK18-3.tif" \* MERGEFORMATINET (第2题) 2．如图，在 ABCD中，∠C＝120°，AB＝4，点H，G分别是边CD，BC上的动点，连接AH，GH，点E为AH的中点，点F为GH的中点，连接EF，则EF的最小值为_____． 3．如图，∠AOB＝120°，点P在∠AOB的平分线上，OP＝4.点E，F分别在边OA，OB上，且∠EPF＝60°，连接EF.求EF的最小值． INCLUDEPICTURE"SK18-4.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK18-4.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK18-4.tif" \* MERGEFORMATINET INCLUDEPICTURE"标1.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\标1.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\标1.tif" \* MERGEFORMATINET 特训19　两定一动型INCLUDEPICTURE"标2.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\标2.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\标2.tif" \* MERGEFORMATINET INCLUDEPICTURE"条单.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\条单.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\条单.tif" \* MERGEFORMATINET 模型解读 模型1　异侧两定点(如图)INCLUDEPICTURE"SK18-5.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK18-5.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK18-5.tif" \* MERGEFORMATI ... ...