名校
1 . 已知函数
.
(1)当
时,求函数
的值域;
(2)如果对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818b938c30c3a81511ab7e181dabeb47.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a64f604d8732d4c264cc74b8ca5f7ce.png)
(2)如果对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88181d8cccf01c519f4b08fb562c46d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-09-15更新
|
2163次组卷
|
25卷引用:重庆市第十八中学2017-2018学年高一上学期期中考试数学试题2
重庆市第十八中学2017-2018学年高一上学期期中考试数学试题2重庆市第十八中学2017-2018学年高一上学期期中考试数学试题3陕西省西安市高新第一中学国际部2017-2018学年高一上学期期中考试数学试题贵州省遵义航天高级中学2017-2018学年高二上学期期末考试数学(理)试题贵州省遵义航天高级中学2017-2018学年高二上学期期末考试数学(文)试题[市级联考】安徽省定远重点中学2019届高三上学期期中考试数学(理)试题山西省应县第一中学校2018-2019学年高二下学期期末考试数学(理)试题上海市曹杨中学2018-2019学年高一上学期期末复习卷一数学试题河北省邯郸市第一中学2019-2020学年高一上学期期中数学试题山西省大同市第一中学2019-2020学年高二下学期3月第二次考试数学(文)试题山西省大同市第一中学2019-2020学年高二下学期3月第二次考试数学(理)试题江苏省扬州市宝应县2020-2021学年高三上学期初调研测试数学试题上海交通大学附属中学2020届高三下学期开学考试数学试题广东省汕头市潮南区2020-2021学年高一上学期期末数学试题(已下线)专题7.2 函数综合 B卷(常考题型精选)-2021-2022学年高一数学单元卷模拟(易中难)(2019人教A版必修第一册)(已下线)专题10对数与对数函数-2022年(新高考)数学高频考点+重点题型山西省吕梁市泰化学校2020-2021学年高二下学期3月第二次考试数学(理)试题(已下线)考点15 对数函数-备战2022年高考数学一轮复习考点一遍过(新高考地区专用)【学科网名师堂】第六章 幂函数、指数函数和对数函数(选拔卷)-【单元测试】2021-2022学年高一数学尖子生选拔卷(苏教版2019必修第一册) 湖南省常德市鼎城区第一中学2021-2022学年高一上学期12月月考数学试题(已下线)第15讲 对数函数-备战2023年高考数学一轮复习考点帮(新高考专用)河北省定州市2022-2023学年高一上学期期末数学试题河南宋基信阳实验中学2023-2024学年高三上学期第一次月考数学试题江苏省苏州市陆慕中学2023-2024学年高一上学期12月月考数学试题(已下线)专题10 对数与对数函数
2 . 【选修4-1:几何证明选讲】
如图,P为圆外一点,PD为圆的切线,切点为D,AB为圆的一条直径,过点P作AB的垂线交圆于C、E两点(C、D两点在AB的同侧),垂足为F,连接AD交PE于点G.
![](https://img.xkw.com/dksih/QBM/2015/12/22/1572379169292288/1572379175657472/STEM/cf86b095aa2b4379b571f4206b676f07.png)
(1)证明:PG=PD;
(2)若AC=BD,求证:线段AB与DE互相平分.
如图,P为圆外一点,PD为圆的切线,切点为D,AB为圆的一条直径,过点P作AB的垂线交圆于C、E两点(C、D两点在AB的同侧),垂足为F,连接AD交PE于点G.
![](https://img.xkw.com/dksih/QBM/2015/12/22/1572379169292288/1572379175657472/STEM/cf86b095aa2b4379b571f4206b676f07.png)
(1)证明:PG=PD;
(2)若AC=BD,求证:线段AB与DE互相平分.
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名校
3 . 已知圆
上存在两点关于直线
对称.
(Ⅰ)求实数
的值;
(Ⅱ)在(Ⅰ)的条件下,过点
作圆
的两条切线,切点分别为
,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137c67ed959ecc3a4e868bd99ff72c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca37046ab8e945ece2400563bc4d6177.png)
(Ⅰ)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅱ)在(Ⅰ)的条件下,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c987bb6aef0853bd676137c5b128b5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab4cf09670861e61d67cbe70bb149a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8738960cfe0607cea6f66e9d3b972214.png)
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名校
4 . 圆
的圆心到直线
的距离为
,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6316e0e6da742e9b035d8f2cc91a4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc209d7e24ff25c3ca4d7894353562fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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5 . 如图,
是圆
的切线,切点为
,
是过圆心
的割线且交圆
于点
,过
作圆
的切线交
于点
,
. 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02a68a2e27f6c7a6d03f2fd7a602b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5178fcc1a040999563466fd69ed8b69a.png)
![](https://img.xkw.com/dksih/QBM/2017/12/16/1839787439570944/1841115563515904/STEM/44fde1f05ec4476e974e47f5a282586d.png?resizew=149)
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名校
6 . 若关于
的方程
有两个不同实根,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f33453aea58ba96c64e87ed73d7577a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.[![]() | C.(![]() | D.(![]() |
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7 . 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)
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8 . 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)
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9 . 选修4-1:几何证明选讲
如下图,四边形
内接于
,过点
作
的切线
交
的延长线于
,已知
.
![](https://img.xkw.com/dksih/QBM/2016/12/1/1573190598074368/1573190603907072/STEM/413d671276e44bc9a7ba456eae9ad2ce.png)
(Ⅰ)若
是
的直径,求
的大小;
(Ⅱ)若
,求证:
.
如下图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2ce04e29ecab05af9c8d1b4c81d516.png)
![](https://img.xkw.com/dksih/QBM/2016/12/1/1573190598074368/1573190603907072/STEM/413d671276e44bc9a7ba456eae9ad2ce.png)
(Ⅰ)若
![](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/001fb1746a5c0d71c5d645e024fa8b3e.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ca81d66713ac3f0dcc6b1b3209b76e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbe3f5c93f7c60104ca98978d5a3f45.png)
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10 . A.(几何证明选讲)
如图,
为圆
的直径,
在圆
上,
于
,点
为线段
上任意一点,延长
交圆
于
,
.
(1)求证:
;
(2)若
,求
的值.
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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e68633cbbe3cc2d0801305f81a7aa86.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/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/7cc9c9a1c828f5b3c718e2a98a749192.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b63745558b8ca67cd9a10cc85b00696.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea37f262f50b2c43b5c5fba506f3f39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9935fd41734aa307e947e119880e21.png)
![](https://img.xkw.com/dksih/QBM/2017/11/26/1825705412747264/1826888858271744/STEM/b3afa65ab2774f53a783b1296f48b881.png?resizew=143)
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2016-12-04更新
|
189次组卷
|
3卷引用:2016届广东省深圳市高三第二次调研考试数学(理)试卷