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
|
2168次组卷
|
25卷引用: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
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[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(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(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】(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)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)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月月考数学试题河北省定州市2022-2023学年高一上学期期末数学试题
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)
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3 . 如图,AB为⊙O的直径,BD是⊙O的切线,连接AD交⊙O于E,若BD∥CE,AB交CE于M,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4b0311cb57d78f465a57dc7f26353c.png)
![](https://img.xkw.com/dksih/QBM/2018/12/5/2090404214185984/2094345211813888/STEM/647c1bdc-8188-4995-bad2-424c20db0e6d.png)
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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)
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5 . 如图,四边形
是圆的内接四边形,
,
、
的延长线交于点
.求证:
平分
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb67f27bcda7681b19239a199b4c4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.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/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c36ff76f9f1ee12db562cde7a58b8c3.png)
![](https://img.xkw.com/dksih/QBM/2018/10/15/2054409853542400/2059748077608960/STEM/ba59d31e-853f-4f57-bf17-fd8d5365e04d.png?resizew=328)
您最近一年使用:0次
6 . [选修4—1:几何证明选讲]
如图,ABCD为圆内接四边形,延长两组对边分别交于点E,F.M,N为AB,CD上两点,EM=EN,点F在MN的延长线上.求证:∠BFM=∠AFM.
如图,ABCD为圆内接四边形,延长两组对边分别交于点E,F.M,N为AB,CD上两点,EM=EN,点F在MN的延长线上.求证:∠BFM=∠AFM.
![](https://img.xkw.com/dksih/QBM/2018/5/25/1953107742081024/2007656974417920/STEM/eface4f75c1b437fb58753f845e89d4c.png?resizew=164)
您最近一年使用:0次
真题
7 . 如图,圆O的半径为2,AB为圆O的直径,P为AB延长线上一点,过P作圆O的切线,切点为C.若
,求 BC 的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1720da6d65e7fa854d98322d3864240.png)
![](https://img.xkw.com/dksih/QBM/2018/6/10/1964174441160704/1964226082103296/STEM/802ce7143149431db5f9980f3b7a72ad.png?resizew=202)
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2018高三下·江苏·专题练习
8 . [选修4-1:几何证明选讲]
如图,AD,BC,CD是以AB为直径的圆的切线,切点分别为A,B,P,AC和BD交于Q点.
![](https://img.xkw.com/dksih/QBM/2018/5/15/1945762290966528/1946605564076032/STEM/9b86f66031854c81883fbbe33e8de2f5.png?resizew=170)
求证:
.
如图,AD,BC,CD是以AB为直径的圆的切线,切点分别为A,B,P,AC和BD交于Q点.
![](https://img.xkw.com/dksih/QBM/2018/5/15/1945762290966528/1946605564076032/STEM/9b86f66031854c81883fbbe33e8de2f5.png?resizew=170)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84733f9dc908ceb11459cc2aed580ab.png)
您最近一年使用:0次
2018高三·江苏·专题练习
9 . 【选修4-1:几何证明选讲】如图,已知
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43651721f6c0ea4cf50a33054ecc5d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb67f27bcda7681b19239a199b4c4d1.png)
![](https://img.xkw.com/dksih/QBM/2018/4/23/1930340256423936/1931900416925696/STEM/de4826c35427438eac267aa1b4c7ac65.png?resizew=191)
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10 . [选修4-1:几何证明选讲]
如图,
是圆
的直径,弦
,
的延长线相交于点
,
垂直
的延长线于点
.
求证:
.
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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151d70f8913ad2464fc347a6f4203658.png)
![](https://img.xkw.com/dksih/QBM/2018/4/18/1926654016864256/1928995903381504/STEM/da3ecc7eea4a41ca91702badb516617b.png?resizew=203)
您最近一年使用:0次