(1)如图所示,在等边三角形
中,点D、E、F分别在边
、
、
上,且有
,
、
、
两两相交于点P、Q、R,
与
的大小有什么关系?试证明你的结论;
![](https://img.xkw.com/dksih/QBM/2021/9/24/2815037274398720/2815804214255616/STEM/8ab276a9-3a20-4755-94d7-e2a3c59e0501.png?resizew=152)
(2)对第(1)题,如果
是任意三角形,第(1)题的结论有没有变化,试证明你的结论;
(3)在第(2)题的条件下,如果
.
与
的大小有什么关系?试证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12297052f8d6725ce1fba8ce4bf95c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c28abb154f41e1ca9816c9c9c2433ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/2021/9/24/2815037274398720/2815804214255616/STEM/8ab276a9-3a20-4755-94d7-e2a3c59e0501.png?resizew=152)
(2)对第(1)题,如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)在第(2)题的条件下,如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1ea2f619e46a3274b647d4423c4ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c28abb154f41e1ca9816c9c9c2433ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
2021高三·全国·专题练习 查看更多[1]
更新时间:2021-09-25 17:11:15
|
【知识点】 几何证明选讲
相似题推荐
解答题-证明题
|
较难
(0.4)
【推荐1】22.选修4-1:几何证明选讲
![](https://img.xkw.com/dksih/QBM/2011/6/3/1570233180200960/1570233185435648/STEM/e12af0fa613f404dba74f71d3a047f60.png)
如图:四边形
是边长为
的正方形,以
为圆心,
为半径的圆弧与以
为直径的圆
交于点
,连接
并延长
交于
点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求证:
是
的中点
(2)求线段
的长
![](https://img.xkw.com/dksih/QBM/2011/6/3/1570233180200960/1570233185435648/STEM/e12af0fa613f404dba74f71d3a047f60.png)
如图:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
【推荐2】选修4-1:几何证明选讲
如图,
为圆的内接三角形,
,
为圆的弦,且
,过点A作圆的切线与
的延长线交于点
,
与
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/1/ff4b20bd-c403-4273-9b26-e0a404be09e6.png?resizew=137)
(1)求证:四边形
为平行四边形;
(2)若
,
,求线段
的长.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd05a551ca00abcdecd3106de0e50e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/1/ff4b20bd-c403-4273-9b26-e0a404be09e6.png?resizew=137)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf7e12dc03db7186feae41fd1751499.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb6823a329628699619a39cde927510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432cce1481829c4dfe2bd557f6e9aa4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
您最近一年使用:0次