2025年中考数学二轮专题复习- 专题二 相似模型高效拆分特训（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 专题二 相似模型高效拆分特训 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12　A型相似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　A型相似(如图)INCLUDEPICTURE"SK2-1.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK2-1.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK2-1.tif" \* MERGEFORMATINET 条件：DE∥BC.结论：①△ADE∽△ABC；△ADN∽△ABM；△ANE∽△AMC；②＝＝. 模型2　反A型相似(如图)INCLUDEPICTURE"SK2-2.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK2-2.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK2-2.tif" \* MERGEFORMATINET 条件：∠AED＝∠C.结论：①△AED∽△ACB；②＝ AE·AB＝AD·AC. 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的平分线交BC于点F.点D，E分别在AB，AC上，连接DE交AF于点G.若∠AED＝∠B，AG∶GF＝2∶1，则的值为_____． INCLUDEPICTURE"SK2-3.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK2-3.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK2-3.tif" \* MERGEFORMATINET 2．如图，在△ABC中，AE＝CE，BC＝CD，求证：ED＝3EF. INCLUDEPICTURE"SK2-4.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK2-4.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK2-4.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13　8字型相似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　8字型相似(如图)INCLUDEPICTURE"SK2-5.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK2-5.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK2-5.tif" \* MERGEFORMATINET 条件：AD与BC相交于点O，AB∥CD.结论：△AOB∽△DOC. INCLUDEPICTURE"SK2-6.tif" INCLUDEPICTURE "D:\\课件\\中考福建数学\\SK2-6.tif" \* MERGEFORMATINET INCLUDEPICTURE "C:\\Users\\庞建宇\\Desktop\\中考数学福建\\SK2-6.tif" \* MERGEFORMATINET 模型2　反8字型相似(如图)条件：AD与BC相交于点O，∠BAD＝∠BC ... ...