1 . 选修4-1:几何证明选讲
如图,已知
是⊙
的直径,点
是⊙
上一点,过点
作⊙
的切线,交
的延长线于点
,过点
作
的垂线,交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/be73ec72053a443dae4b399043b9fee5.png)
(1)求证:
为等腰三角形;
(2)若
,求⊙
的面积.
如图,已知
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/669ff222b6644087996fce53944ed8a9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/9452f10d6b71471799d48ae78e753bb4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/241013121d964faa989f5b337dde0eec.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/9452f10d6b71471799d48ae78e753bb4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/241013121d964faa989f5b337dde0eec.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/9452f10d6b71471799d48ae78e753bb4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/669ff222b6644087996fce53944ed8a9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/4f7227bbb85e4ccc9aca2f3d89d74d6a.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/4f7227bbb85e4ccc9aca2f3d89d74d6a.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/0f350866a3194483857c706845a5b533.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/16ed085ecd2549528a56518b6ad539cb.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/b0979b4504334f20a0f3fd27e4911c43.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/be73ec72053a443dae4b399043b9fee5.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/d5995bc2336f41e5b2b65470ba66fb01.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/173baa40701e4380b216921008b214f4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/9452f10d6b71471799d48ae78e753bb4.png)
您最近一年使用:0次
2016-12-04更新
|
79次组卷
|
2卷引用:2015-2016学年辽宁瓦房店市高级中学高二下期末数学(理)试卷
2 . 选修4-1:几何证明选讲
已知
中,
,
是
外接圆劣弧AC上的点(不与点
重合),延长
至
.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/6b7a244ca80c47ee92e32a706f87fdf1.png)
(1)求证:
的延长线平分
;![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/f2baca9a1359442fb6bc066abae27f34.png)
(2)若
,
中
边上的高为
,求
外接圆的面积.
已知
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/ca4c1810dd4e4d58927bc6fc73a94e45.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/372bc35b1981438da52b2294236cbcc7.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/10d1b8ea6ef94bcbae4a753aad5789a1.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/ca4c1810dd4e4d58927bc6fc73a94e45.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/d08a415981ac412ab895f83bf1c7c843.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/06ce7cc6f2d744ecaeb93d13ee629e95.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/3bb7fe03d2e64c188d1df3bd7142c758.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/6b7a244ca80c47ee92e32a706f87fdf1.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/50df022b812b4a1cb956149438fd504d.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/9b1164b1503546a5ad69550cce42f138.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/f2baca9a1359442fb6bc066abae27f34.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/7e709f11ea6341ab941a60bb53794ee4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/ca4c1810dd4e4d58927bc6fc73a94e45.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/798bd88ac4074985a8c5bcf2f8bc08f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16edecab3862a10bc9480543c34478a9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/ca4c1810dd4e4d58927bc6fc73a94e45.png)
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3 . 选修4-1:几何证明选讲
在
中,
,过点A的直线与其外接圆交于点P,交BC延长线于点D.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067832500224/1573067838676992/STEM/7e80208bb62b4479935a131c3adc7420.png)
(1)求证:
;
(2)若AC=3,求AP•AD的值.
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067832500224/1573067838676992/STEM/7e80208bb62b4479935a131c3adc7420.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23c27fa3a2f7a0052415716dc1f3cc9.png)
(2)若AC=3,求AP•AD的值.
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4 . 与直线
和圆
都相切的半径最小的圆的方程是___________
![](https://img.xkw.com/dksih/QBM/2011/8/17/1570286949228544/1570286954348544/STEM/2e770812f7124ae2aeb971dc2e38e386.png?resizew=77)
![](https://img.xkw.com/dksih/QBM/2011/8/17/1570286949228544/1570286954348544/STEM/064c213e4a514698b2a98dae7ed2752b.png?resizew=128)
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10-11高二下·辽宁本溪·期末
5 . 如图,PA切圆O于点A,割线PBC经过圆心O,OB=PB=1,OA绕点O逆时针旋转
到OD.
(1)求线段PD的长;
(2)在如图所示的图形中是否有长度为
的线段?若有,指出该线段;若没有,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
(1)求线段PD的长;
(2)在如图所示的图形中是否有长度为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2011/7/16/1570262744645632/1570262750060544/STEM/b4d17c9260924b0092cf95f6a1512d72.png?resizew=212)
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