名校
1 . 如图,设
和
都是等边三角形,且
,则
的度数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4b17ce6e90cd3810a3696262e94c1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e016fac9484f4f6652da209c9b85d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a55a1a244f81097e05e715b69580faa.png)
![](https://img.xkw.com/dksih/QBM/2017/8/29/1762653204406272/1765471269150720/STEM/3e1a75369a1845f480297f5f73fc72d2.png?resizew=208)
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2 . 如图,在圆内接四边形
中,
,
,
,则四边形
周长的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a581bf97b7c14089725ce108b070d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2017/3/3/1635737700802560/1636762269335552/STEM/f22b7064b19e448dad0eb49baafc4d2b.png?resizew=156)
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3 . 选修4-1:几何证明选讲
如图
是
直径,
是
切线,
交
与点
.
![](https://img.xkw.com/dksih/QBM/2016/11/10/1573138122612736/1573138129133568/STEM/032eb3a5ce50466bae5d05e5521f1f24.png)
(Ⅰ)若
为
中点,求证:
是
切线;
(Ⅱ)若
,求
的大小.
如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/11/10/1573138122612736/1573138129133568/STEM/032eb3a5ce50466bae5d05e5521f1f24.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db966856ec2cbe925bdf8ee29fc93611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0427054c47e348f35771872fd0215a8a.png)
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4 . 选修4-1:几何证明选讲
如图,圆周角
的平分线与圆交于点
,过点
的切线与弦
的延长线交于点
,
交
于点
.
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273014292480/1572273020624896/STEM/250ee19ea09e4222bacc8433628290df.png)
(1)求证:
;
(2)若
,
,
,
四点共圆,且
,求
.
如图,圆周角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e57541260bfadf7624c86769eec0fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9febb0e53890d2fb72fdfd7f0aa88acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b693717f525facc79b9a500ed998b109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588a2119bc5e8cdf4731828b195a7892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391c0e2fc44598610d519dacb778062.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273014292480/1572273020624896/STEM/250ee19ea09e4222bacc8433628290df.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa9132693acc1c5c9f9b50445cf98e2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391c0e2fc44598610d519dacb778062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14da8b9947feb556eb2669fcb6ba6277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e57541260bfadf7624c86769eec0fc1.png)
您最近一年使用:0次
2016-12-04更新
|
90次组卷
|
3卷引用:2017届河南新乡一中高三9月月考数学(理)试卷
5 . 选修4-1:几何证明选讲
如图,圆O的直径AB=10,P是AB延长线上一点,BP=2,割线PCD交圆O于点C,D,过点P作AP的垂线,交直线AC于点E,交直线AD于点F.
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/143a006c345a4629938cf139a5384682.png)
(1)当
时,求
的度数;
(2)求
的值.
如图,圆O的直径AB=10,P是AB延长线上一点,BP=2,割线PCD交圆O于点C,D,过点P作AP的垂线,交直线AC于点E,交直线AD于点F.
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/143a006c345a4629938cf139a5384682.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/5b2408541b954b07a1f334214d24bfb9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/cc193ddcc1214d308bd44c5873039f02.png)
(2)求
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/ca290cd539e94275b427e721c73b34e9.png)
您最近一年使用:0次
6 . 选修4-1:几何证明选讲
如图所示,在
中,
是
的角平分线,
的外接圆交线段
于点
,
.
![](https://img.xkw.com/dksih/QBM/2016/8/24/1572990128209920/1572990134124544/STEM/6875f9fca41341fda540b427e60031bf.png)
(1)求证:
;
(2)当
时,求
的长.
如图所示,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0427054c47e348f35771872fd0215a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d481b73f766666bb189eaed5314f9d2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65b2c88f9ce763ec13d7e24080635215.png)
![](https://img.xkw.com/dksih/QBM/2016/8/24/1572990128209920/1572990134124544/STEM/6875f9fca41341fda540b427e60031bf.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964d46001dc6cb40e785736fb49964e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64a2332bc41099c1d7b2561bcdfb381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
7 . 选修4-1:几何证明选讲
如图所示,PA为圆O的切线,A为切点,PO交圆O于B,C两点,PA=20,PB=10,
的角平分线与BC和圆O分别交于点D和E.
![](https://img.xkw.com/dksih/QBM/2016/8/8/1572969915473920/1572969921527808/STEM/a6f051823ba8498787b5910e8caec0d4.png)
(1)求证:
;
(2)求
的值.
如图所示,PA为圆O的切线,A为切点,PO交圆O于B,C两点,PA=20,PB=10,
![](https://img.xkw.com/dksih/QBM/2016/8/8/1572969915473920/1572969921527808/STEM/85a4f1bd192a4dda92a850d70557e29a.png)
![](https://img.xkw.com/dksih/QBM/2016/8/8/1572969915473920/1572969921527808/STEM/a6f051823ba8498787b5910e8caec0d4.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/8/8/1572969915473920/1572969921527808/STEM/03f8537188fc4981a4f5aa32a2699264.png)
(2)求
![](https://img.xkw.com/dksih/QBM/2016/8/8/1572969915473920/1572969921527808/STEM/90d6eafc4faf4ae0b5595927cb41d87f.png)
您最近一年使用:0次
8 . 选修4-1:几何证明选讲
如图,
是圆
的直径,
是圆
上两点,
与
相交于点
,
,
是圆
的切线,点
在
的延长线上,且
.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/ba1427b3-a8d2-411d-a18d-702ae388248c.png?resizew=147)
(1)
四点共圆;
(2)
.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5f736b1195fef1d2d300168a795f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8f887360a533f0a25b0b34fb11f0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbaa12e10837b302535b3331f08b2495.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/ba1427b3-a8d2-411d-a18d-702ae388248c.png?resizew=147)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54583088b8451cdc5ae13b739a8eebb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dfb0a85bb6aee4a1d8fc1abad4eecb.png)
您最近一年使用:0次
2016-12-03更新
|
338次组卷
|
3卷引用:2016届河南省郑州市一中高三上学期联考文科数学试卷
9 . 如图,锐角三角形ABC中,以BC的直径的半圆分别交AB,AC于点D,E,则⊿ADE的面积与⊿ABC的面积的比值是
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572305116585984/1572305121771520/STEM/4a6fc26879ef4d638b3a7071ac90090c.png)
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572305116585984/1572305121771520/STEM/4a6fc26879ef4d638b3a7071ac90090c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次