如图,已知
是等边三角形
的外接圆,点
在圆上,在
的延长线上有一点
,使
,
交
于
.
![](https://img.xkw.com/dksih/QBM/2018/6/29/1977526104449024/1978148638679040/STEM/5ad321ce5bc242f6999ab489dca17d24.png?resizew=195)
(1)求证:
是
的切线;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa8a9b14da8a472a8855449f1160b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1a6cd95707c57e85eafd43f7b9fbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2018/6/29/1977526104449024/1978148638679040/STEM/5ad321ce5bc242f6999ab489dca17d24.png?resizew=195)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1642eec556eb252de9c1ab7bb5ca90b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494bf14f8369edcb5ba24413e91fd473.png)
2018·湖南常德·中考真题 查看更多[4]
湖南省常德市2018年中考数学试卷【校级联考】山东省滨州市六校2019届九年级上期期中联考数学试题湖南省临湘市2019-2020学年九年级上学期期中数学试题(已下线)专题3.29 《圆》中的切线证明专题(专项练习)-2021-2022学年九年级数学下册基础知识专项讲练(北师大版)
更新时间:2018-06-30 05:36:37
|
【知识点】 证明某直线是圆的切线解读
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图,
是
的直径,C为
上一点,连接
,作
交
于点F,点E在
的延长线上,
经过点C,且
.
是
的切线;
(2)若
,
的半径为1,求阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ebef5bab02280cdc99cc7f689135cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a3b003b75027e578f806fedbfc6f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c226581e14091779321c9fe91160ceef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】如图,
是
的直径,
、
是
的弦,延长
到
,连接
,连接
并延长交
于点
,
,
.
(1)试判断
与
的位置关系,并说明理由;
(2)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532aece6cfd67e2a97977eed978dbf2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6553b780d1c6689857442362707fba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/26/4f6c3366-c4b7-4ff9-8d8d-d04126c164e5.png?resizew=164)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e51a989456873c7a32f7d456117d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9939d72e2f83123b08b88a617a23de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
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