1 . 如图,
为圆
的直径,
为圆
外一点,过
点作
于
,交圆
于
点,
交圆
于
点,
交
于
点.
![](https://img.xkw.com/dksih/QBM/2017/12/23/1844447098101760/1846014722129920/STEM/f07f1227e1fe48a49037e2af8a476901.png?resizew=149)
(Ⅰ)求证:
;
(Ⅱ)求证:
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e4b16c2c6c9bd089da78122e9d2511.png)
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2017/12/23/1844447098101760/1846014722129920/STEM/f07f1227e1fe48a49037e2af8a476901.png?resizew=149)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16c2c0de404af921d19fa230aeb0f0d.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986b0b0c6d79e0bfb5a37434c1dc7a7.png)
您最近一年使用:0次
2 . 选修 4-1:几何证明选讲
已知点
在圆
直径
的延长线上,
切圆
于
点,
分别交
,
于点
,
,
.
![](https://img.xkw.com/dksih/QBM/2017/11/28/1827047244275712/1828939645018112/STEM/53a59f6801fe4ac4bb86594e47f541b4.png?resizew=171)
(1)求证:
为
的平分线;
(2)若
,求
的值.
已知点
![](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/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd546aa376d38da2cfbae4a38dcbd01.png)
![](https://img.xkw.com/dksih/QBM/2017/11/28/1827047244275712/1828939645018112/STEM/53a59f6801fe4ac4bb86594e47f541b4.png?resizew=171)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78dc4f4584665f0db3d9363784c1683.png)
您最近一年使用:0次
3 . 选修4-1:几何证明选讲
如图,
是⊙
直径,
与⊙
相切于
,
为线段
上一点,连接
分别交⊙
于![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/014153533fd64fdcad0f710ace30e110.png)
两点,连接
交
于点
.
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/627bb6e7d08c48dca54a88765db90602.png)
(1)求证:
四点共圆;
(2)若
为
的三等分点且靠近
,
,
,求线段
的长.
如图,
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/f4acbb2c672d49e5ac9d30aa8575117e.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/dc20e596c41f4de7ae393941513793b4.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/6860316ee54c4619a73cf84b3479cb34.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/dc20e596c41f4de7ae393941513793b4.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/5bfeb834a8de4d5fab2a35cb149d6082.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/ccb85bec02164fe3872be12f7f54b739.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/6860316ee54c4619a73cf84b3479cb34.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/83740875d0da43e3bf5be3872c343680.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/dc20e596c41f4de7ae393941513793b4.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/014153533fd64fdcad0f710ace30e110.png)
两点,连接
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/6770fcfb6bc94a9d93967171d7192129.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/6860316ee54c4619a73cf84b3479cb34.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/e94fdede599c45f9b5a2d415e0d1d2e3.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/627bb6e7d08c48dca54a88765db90602.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/45c887c2efca4d29a0aeec1bc9b04f0c.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/e94fdede599c45f9b5a2d415e0d1d2e3.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/62ee75e6328a40f79a945c90586f78f3.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/ccb85bec02164fe3872be12f7f54b739.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/c9b83bfb828a4160aecb9b4a60ffe6f6.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/9c1547e061dc4d89ac930b70bf3df7af.png)
![](https://img.xkw.com/dksih/QBM/2016/12/23/1619431100727296/1619431101374464/STEM/54e91d13fa3043a7ab886a26107592af.png)
您最近一年使用:0次
4 . 选修4-1:几何证明选讲
如图,
是半径为
的
上的点,
在点
处的切线交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/11/30/1573189629657088/1573189636128768/STEM/9210382d14fc4fe4964f02896a7c71e2.png)
(1)求证:
;
(2)若
为
的直径,求
的长.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4325d2ed3b44f94e5d5fc98af1aee4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/11/30/1573189629657088/1573189636128768/STEM/9210382d14fc4fe4964f02896a7c71e2.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e23a92f912a48c8750b6c9e6af86ff.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
2016-12-05更新
|
149次组卷
|
2卷引用:2016届福建福州市高三上学期期末数学(理)试卷
5 . 选修4-1:几何证明选讲
等腰梯形
中,
,
交于点
,
平分
,
为梯形
外接圆的切线,交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/11/12/1573144670306304/1573144676483072/STEM/ad60bfc1b8d54caf9dc22fd4a87cd286.png)
(I)求证:
;
(II)若
,
,
,求
的长.
等腰梯形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aed74d65e981fbfddc940923b5c91b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90be2908153fa6e4d84afe7d4c955e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/2016/11/12/1573144670306304/1573144676483072/STEM/ad60bfc1b8d54caf9dc22fd4a87cd286.png)
(I)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4f39e61059fb69457616c166702657.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbb2dce15f3d0fe839688575d2a8ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2ee4d985e634e127a8db9fae7ab837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
您最近一年使用:0次