1 . (几何证明选讲选做题)如图,
是圆
的直径,直线
与圆
相切于点
,
于点
,若圆
的面积为
,
,则
的长为______ .
![](https://img.xkw.com/dksih/QBM/2015/3/31/1578625184169984/1578625184571392/STEM/3a029f3a35d549c4ac8eb70bfc72f95b.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1578625184169984/1578625184571392/STEM/e36558b8ae0e441bb835141262b5362c.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1578625184169984/1578625184571392/STEM/f1c51e95c32b44c2ae357f141900474a.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1578625184169984/1578625184571392/STEM/e36558b8ae0e441bb835141262b5362c.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1578625184169984/1578625184571392/STEM/52a438afc96c475bb8a344593cf07855.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ccd5c41c921836b50f8e18abfdc5df3.png)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1578625184169984/1578625184571392/STEM/78a75e0b6f9a4180a8185aa6b1467705.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1578625184169984/1578625184571392/STEM/e36558b8ae0e441bb835141262b5362c.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9609625b502348556ff8ba32deac8caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58899f5c3638f1e32274137723f99836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1578625184169984/1578625184571392/STEM/c534ae515c6b404cbd6a2af8d132c613.png?resizew=135)
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2 . (几何证明选做题)如图,从圆
外一点
引圆的切线
和割线
,已知
,
,圆心
到
的距离为
,则点
与圆
上的点的最短距离为_______ .
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/deda7e976cca4bb4a3cc5b0a97a28ced.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/37d6598bc0c94c9ba5c6306eca8527bb.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/75a829a23bdb4138ab09764f191af1e8.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/59a134e7abe34fdb8609fde25138114e.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/4b04b79d23b349b89ca27915806d1347.png?resizew=72)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/5e3cf9836bc44aa28c8a5674e67e320f.png?resizew=72)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/deda7e976cca4bb4a3cc5b0a97a28ced.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/549908119d3446078da88f8f5019b67c.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/da166e2350df4dfc842aad89a4741d93.png?resizew=24)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/37d6598bc0c94c9ba5c6306eca8527bb.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/deda7e976cca4bb4a3cc5b0a97a28ced.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572132308205568/1572132314218496/STEM/91676d0ca239477a92befa300e50438a.png?resizew=132)
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3 . (平面几何选做题)已知
为半圆
的直径,
,
为半圆上一点,过点
作半圆的切线
,过点
作
于
,交半圆
于点
,
,则
的长为_______ .
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/fddda9c887974daca5680bf52000036e.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/781cf0b0575f446692583727f10f00fe.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/17f0b00c2e824508ae2b1b727d69114b.png?resizew=51)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/cecfd11d2b994e5c8566910979d470ff.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/cecfd11d2b994e5c8566910979d470ff.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/0b93bf3e96564bf284b11a29f5d59930.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/eca0cf6decb94705aafbb873c701e6cf.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/9ff78c4365df42eba10027a0579d5e36.png?resizew=68)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/a33a91e8247b49fabee1928c69a4130e.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/781cf0b0575f446692583727f10f00fe.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/94a2f6a5e7914c0c80c4e686ba09d667.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/66bb80c87b234720919e9d202154ff1e.png?resizew=49)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/936bdd350a4b4b54b50c17e01855a5e7.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572119177175040/1572119183089664/STEM/c404a54b15b64d54b42010ab625dee04.png?resizew=167)
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4 . (几何证明选讲选做题)如图,
是半圆的圆心,直径
,
是圆的一条切线,割线
与半圆交于点
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80bf0ef21361fd56b8ae12baee60646.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654e4b97e4eeb2747eb0125c22e50f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb20ebe31907333155b5da24d6a29b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467d98d40ea4c89327a286ca17bdafc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ea9afccd2b31c2208bc6baf5ddca5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8eeb511aba17a0dabdb8bf0ae4c7b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80bf0ef21361fd56b8ae12baee60646.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/904b200c-2695-46e2-93e0-b984b09e109f.png?resizew=119)
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5 . (几何证明选讲选做题)如图,
是圆
的切线,
是圆
的割线,若
,
,
,则圆
的半径![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/bfb276037fe5474ea16a122405510948.png?resizew=25)
___ .
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/d9812b8961124aa69eed9dac083139f3.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/c98ab2b1ff774d7c9e34091f06cb3019.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/38ec740e7c3046559e8b440d1f90c75b.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/c98ab2b1ff774d7c9e34091f06cb3019.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/bad297f11e54452fb0f39816d2919fbf.png?resizew=51)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/2742982b13274b1da49109552bf5acb3.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/720d2bb31687409288a8abe27e3bbb9d.png?resizew=67)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/c98ab2b1ff774d7c9e34091f06cb3019.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/bfb276037fe5474ea16a122405510948.png?resizew=25)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039124787200/1572039130603520/STEM/39d8507e213d4a359922f5e643524469.png?resizew=123)
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2016-12-03更新
|
338次组卷
|
2卷引用:2015届广东省肇庆市中小学教学评估高中毕业班第二次模拟理科数学试卷
6 . (几何证明选讲选做题)如图,圆
的直径
,直线
与圆
相切于点
,
于点D,若
,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b363797455e171e5dff9193eb28cc9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d649afbddd907f0dfec1420f02f82fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.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/9ccd5c41c921836b50f8e18abfdc5df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01dcbd171693a47c5b932a5e84de10c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b363797455e171e5dff9193eb28cc9.png)
![](https://img.xkw.com/dksih/QBM/2015/3/25/1572027454300160/1572027459510272/STEM/57fdbddc02184ed7b6981aabc262cf00.png?resizew=196)
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7 . 如图,已知⊙O的割线PAB交⊙O于A,B两点,割线PCD经过圆心,若PA=3,AB=4,PO=5,则⊙O的半径为______________ .
![](https://img.xkw.com/dksih/QBM/2011/7/26/1570273735401472/1570273740726272/STEM/5abf0315-f664-40fa-b482-652c703f5e02.png)
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8 . 已知圆M:x2+y2-2x-4y+1=0,则圆心M到直线
(t为参数)的距离为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44061d394baa6e551c41178e4430e610.png)
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9 . 如图,点
是圆
上的点,且
,则
对应的劣弧长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413d30bdf1cc8370b1cbe3d14c22c93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://img.xkw.com/dksih/QBM/2010/4/4/1569690186776576/1569690191945728/STEM/9d9eeff8-b425-44df-8eb6-b89e5f7a3fcb.png?resizew=148)
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