如图,点
是菱形
的对角线
上一点,连接
并延长,交
于点
,交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2019/9/11/2288349243703296/2290018270314496/STEM/30e4ac2c9a5c48e080b1a5540eb8d1e1.png?resizew=242)
(1)求证:
;
(2)若菱形边长为8,
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2019/9/11/2288349243703296/2290018270314496/STEM/30e4ac2c9a5c48e080b1a5540eb8d1e1.png?resizew=242)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830cbf86baa7e211700168a5d304abd8.png)
(2)若菱形边长为8,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de853a263e59781532f89fdab2a0acb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a028fd5b281ef168702a803baca6e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
18-19九年级上·上海浦东新·阶段练习 查看更多[4]
上海市浦东新区上海第二工业大学附属龚路中学2018-2019学年九年级(上)第一次朋考数学试题(五四学制)沪教版(上海)九年级上学期24.3第2课时 三角形一边的平行线(2)沪教版(上海)九年级上学期期中基础测试卷(已下线)第23课 探索三角形相似的条件 相似三角形判定定理的证明-2022-2023学年九年级数学上册课后培优分级练(北师大版)
更新时间:2019-09-13 20:37:00
|
【知识点】 相似三角形的判定与性质综合
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】如图,在平面直角坐标系中,直线
经过点
,与
轴正半轴交于
点,与反比例函数
交于点
,且
,
轴交反比例函数
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/21/262dd0a7-3c93-441b-a6e7-baeb56998056.png?resizew=224)
(1)求
、
的值;
(2)若点
为射线
上一点,设
的横坐标为
,过点
作
,交反比例函数
于点
若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87aba319e62dd0fe1c2db30759a8ded7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03517310ea1e913f709753592ac65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d4aaec5d8780821374d920d1d958d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198a7f2708b1cf3a54629903d575e19d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03517310ea1e913f709753592ac65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/21/262dd0a7-3c93-441b-a6e7-baeb56998056.png?resizew=224)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c851c07c6e4b9a66e76168d6b16592e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03517310ea1e913f709753592ac65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af00a2603bb1c492527537d60949c76c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f72423bf19b975448fd2a0eb4b4cbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-作图题
|
适中
(0.65)
【推荐2】如图是由边长为1的正方形构成的网格,每个小正方形的顶点叫做格点.
的顶点在格点上,仅用无刻度尺的直尺在给定网格中画图,画图过程用虚线表示,画图结果用实线表示,按步骤完成下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/3/d314a44b-d74f-4e16-b364-4f35b931dda6.png?resizew=278)
(1)画出
关于
对称的线段
;
(2)在
的左侧画出格点
,满足
是以
为斜边的等腰直角三角形;
(3)连接
并延长交
于点
,直接写出
的值;
(4)在直线
上画点
,连接
,使
平分
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/3/d314a44b-d74f-4e16-b364-4f35b931dda6.png?resizew=278)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc3f93ceb05f20799a28a6aa99cab44.png)
(4)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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