如图,过矩形
顶点A,B的圆O与
相切于点G,
分别相交于点F,E,连接
.
平分
;
(2)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b1de710e447bb71a01ad70d2354958.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7cbfaec1d9dcaaf159b060163436113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f3956f008cc29ca4bae44a087d5427.png)
更新时间:2024-04-15 14:22:26
|
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图,将矩形纸片
折叠,使点C刚好落在线段
上,且折痕分别与边
相交,设折叠后点C、D的对应点分别为点G、H,折痕分别与边
、
相交于点E、F.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/1/de04becf-e5e4-4749-a775-318e1d26ec7b.png?resizew=196)
(1)判断四边形
的形状,并证明你的结论.
(2)若
,当
最大时,求四边形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e30db1dfcf53b2d36bec83c2bee285e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c8b21a087818284c9cd909cc56c814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/1/de04becf-e5e4-4749-a775-318e1d26ec7b.png?resizew=196)
(1)判断四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920ae90193d50ae60beafae6f2b4ebcd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73638cb21050ef72c9a03e019957260c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920ae90193d50ae60beafae6f2b4ebcd.png)
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真题
名校
【推荐2】如图,点A、B在⊙O上,直线AC是⊙O的切线,OD⊥OB,连接AB交OC于点D.
⑴求证:AC=CD
⑵若AC=2,AO=
,求OD的长度.
⑴求证:AC=CD
⑵若AC=2,AO=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://img.xkw.com/dksih/QBM/2011/7/7/1573221818458112/1573221869617152/STEM/4a06ba2542fb4fdd8b565c2ce8f476ec.png?resizew=143)
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解答题-证明题
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名校
【推荐1】如图,在Rt△ACB中,∠C=90°,D是AB上一点,以BD为直径的⊙O与AC相切于点E,交BC于点F,连接DF.
(1)求证:DF=2CE;
(2)若BC=3,sinB=
,求线段BF的长.
(1)求证:DF=2CE;
(2)若BC=3,sinB=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
![](https://img.xkw.com/dksih/QBM/2017/7/11/1727735615479808/1730928800808960/STEM/19227a134f13493780bdce3972bcb05a.png?resizew=99)
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解答题-问答题
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适中
(0.65)
【推荐2】如图,
为
的直径,C,D为圆上的两点,
,
,
,弦
,
相交于点E.
(1)求
的半径;
(2)过点C作
的切线,交
的延长线于点P,过点P作
交
于F,Q两点(点F在线段
上),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/7d47084596d95a071d9959062872153d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348fb71fbc47fd87e9ce011652ef4186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbd8e8c759858fb3d3132605d44e865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/22/d93fbc44-7ebf-47b6-9829-bab7be0bdb0a.png?resizew=171)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)过点C作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbd07ee3b5fb35ec3eef33ae8dba0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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【推荐1】如图,在等腰△ABC中,AB=AC,过点B作BD⊥AB,过点C作CD⊥BC,两线相交于点D,AF平分∠BAC交BC于点E,交BD于点F.
(1)若∠BAC=68°,求∠DBC;
(2)求证:点F为BD中点;
(3)若AC=BD,且CD=3,求四边形ABDC的面积.
(1)若∠BAC=68°,求∠DBC;
(2)求证:点F为BD中点;
(3)若AC=BD,且CD=3,求四边形ABDC的面积.
![](https://img.xkw.com/dksih/QBM/2019/4/12/2180750184194048/2181436733317120/STEM/2275adf883da43219a71c9faae2f0e25.png?resizew=143)
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解答题-证明题
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【推荐2】如图,AB是半圆的直径,O为圆心,点C是弧BE的中点,过点C作PC⊥AE于点D,交AB的延长线于点P
(1)求证:直线PC是⊙O的切线;
(2)若∠P=30°,AD=3,求阴影部分的面积.
(1)求证:直线PC是⊙O的切线;
(2)若∠P=30°,AD=3,求阴影部分的面积.
![](https://img.xkw.com/dksih/QBM/2020/3/6/2413539245694976/2413928581578752/STEM/21f7f4e68fc34d99bd5f1078e539aca8.png?resizew=194)
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