如图,⊙O的直径AB为2cm,弦BC为1cm,∠ACB的平分线与⊙O交于点D,与AB交于点E,P为AB延长线上一点,连接PC,且PC=PE.
(1)求AC、AD的长;
(2)试判断直线PC与⊙O的位置关系,并说明理由.
(1)求AC、AD的长;
(2)试判断直线PC与⊙O的位置关系,并说明理由.
![](https://img.xkw.com/dksih/QBM/2018/6/10/1963857185644544/1965880037531648/STEM/a688292589df444ca4954a1d9ead3f88.png?resizew=187)
更新时间:2018-06-12 21:36:05
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【知识点】 证明某直线是圆的切线解读
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解答题-证明题
|
适中
(0.65)
【推荐1】如图,已知平行四边形
的三个顶点
,
,
在以
为圆心的半圆上,过点
作
,分别交
,
的延长线于点
,
,
交半圆
于点
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/70c3ec41-eea9-4bcd-9d77-dec4a1df62a2.png?resizew=194)
(1)判断直线
与半圆
的位置关系,并说明理由.
(2)①求证:
;②若半圆
的半径为4,求阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/70c3ec41-eea9-4bcd-9d77-dec4a1df62a2.png?resizew=194)
(1)判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3214c853ea2268ef6c434fb28f0298d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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解答题-证明题
|
适中
(0.65)
【推荐2】如图,点A、B、C分别是
上的点,
,CD是
的直径
,E是CD延长线上的一点,且
.
![](https://img.xkw.com/dksih/QBM/2022/1/10/2898448609992704/2944569729081344/STEM/080a8087-7842-4e58-ac2b-77378cc46402.png?resizew=119)
(1)求证:AE是
的切线;
(2)求ED的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32436704a722d5e568ff5c175bf3c662.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4836945f324c29ef818b423bcc017a93.png)
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(1)求证:AE是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)求ED的长.
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