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
|
2165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 . 如图,已知
是
的外角
的平分线,交
的延长线于点
,延长
交
的外接圆于点
,连结
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/b88c8aa3-1254-4cbd-ad9c-f265eab76449.png?resizew=207)
(1)求证:
;
(2)若
是
外接圆的直径,
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6344778ed1e75c1a99e2268468081867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa175408eddbdfddfbe9701646d62b92.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/b88c8aa3-1254-4cbd-ad9c-f265eab76449.png?resizew=207)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07b92b8282c7fd1158b3b5098e38c39.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba4d0b54a0b2104e1c3a2061e4bffc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
3 . 【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.
您最近一年使用:0次
4 . 如图,⊙O的半径OB垂直于直径AC,D为AO上一点,BD的延长线交⊙O于点E,过E点的圆的切线交CA的延长线于点P.
求证:PD2=PA•PC
求证:PD2=PA•PC
![](https://img.xkw.com/dksih/QBM/2018/11/16/2076809708109824/2078307597312000/STEM/23a2012e-b378-468a-81a7-84d80fbd22c3.png?resizew=186)
您最近一年使用:0次
名校
5 . 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)
您最近一年使用:0次
6 . 已知圆
的半径为
,圆心在
轴的正半轴上,直线
与圆
相切.
(
)求圆
的标准方程.
(
)求直线
与圆
相交的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee21990a5e60a242e02b182ad167a5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a97dc48b0d9e69a892003343cc3c461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
7 . 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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8 . 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
9 . [选修41:几何证明选讲]
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:
.
如图,
![](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/7720ba35de8581eb799fcaa81cfbaf8d.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5178fcc1a040999563466fd69ed8b69a.png)
![](https://img.xkw.com/dksih/QBM/2017/11/16/1818403876003840/1818423632052224/STEM/b970ed2b97bd4b7a84154cf5ec46c9f0.png?resizew=192)
您最近一年使用:0次
名校
10 . 在平面直角坐标系中,将曲线
上的每一个点的横坐标保持不变,纵坐标缩短为原来的
,得到曲线
,以坐标原点
为极点,
轴的正半轴为极轴,建立极坐标系,
的极坐标方程为
.
(1)求曲线
的参数方程;
(2)过原点
且关于
轴对称的两条直线
与
分别交曲线
于
和
,且点
在第一象限,当四边形
周长最大时,求直线
的普通方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f917a2022014d9c19c29eeac84c74e2f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过原点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e478787ebfeb68a5a7594dbd9eecd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f90eb172dbd2ff7ae6f705801c0737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
您最近一年使用:0次
2017-04-15更新
|
1238次组卷
|
7卷引用:2017届河北省石家庄市高三一模考试(文科)数学试卷