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: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
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)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北省定州市2022-2023学年高一上学期期末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
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)
您最近一年使用:0次
3 . 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
4 . 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
5 . 选修4-1:几何证明选讲
自圆O外一点P引圆O的两条割线PAB和PDC,如图所示,其中割线PDC过圆心O,
.
(1)求
的大小;
(2)分别求线段BC和PA的长度.
自圆O外一点P引圆O的两条割线PAB和PDC,如图所示,其中割线PDC过圆心O,
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573061961293824/1573061967699968/STEM/ca04565fd5fa4868877140ba360518aa.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573061961293824/1573061967699968/STEM/b8f5de469d6946048b28d26871718322.png)
(2)分别求线段BC和PA的长度.
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573061961293824/1573061967699968/STEM/d708452fb8184c4094aa251e7f44afcd.png)
您最近一年使用:0次
6 . 如图所示,
为
的切线,切点为
,割线
过圆心
,且
.
![](https://img.xkw.com/dksih/QBM/2016/9/20/1573033401475072/1573033407840256/STEM/a129a3a0802140398967f3b5590c5353.png)
(Ⅰ)求证:
;
(Ⅱ)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5c1f5b997325ff92274249b136b6fc.png)
![](https://img.xkw.com/dksih/QBM/2016/9/20/1573033401475072/1573033407840256/STEM/a129a3a0802140398967f3b5590c5353.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a53295a15ca303b296d02ceb24b2fa.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a07fe4bce9ed14540523de48736920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
您最近一年使用:0次
2016-12-04更新
|
108次组卷
|
5卷引用:2017届河南省天一大联考高三上学期段测一数学(理)试卷
7 . 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
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
12-13高三·河南南阳·阶段练习
9 . 如图,在
中,
是
的角平分线,
的外接圆交
于点
,
.
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572696996036608/1572697002213376/STEM/a1d2f57cf6d74c838b101b1424485b37.png)
(1)证明:
;
(2)当
,
时,求
的长.
![](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/0c71855e55064d1dc59eabe43e73a881.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/846071242f981289741ad19f4e7190cf.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572696996036608/1572697002213376/STEM/a1d2f57cf6d74c838b101b1424485b37.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679372e54c59c5cf67931b12b9833e02.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f7d9f5e71bfef8188b1216c1276c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2016-12-02更新
|
728次组卷
|
7卷引用:2014届河南省方城一高高三第一次调研(月考)考试理科数学试卷
2012·辽宁大连·二模
10 . 已知
为半圆
的直径,
,
为半圆上一点,过点圆的切线
,过
点作
于
,交半圆于点
.
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
平分
;
(2)求
的长.
![](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/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dae94a9c26b6dd1dbcdebd20373033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b783dc89ca6934572319d2e9dfd22.png)
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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2016-12-03更新
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13卷引用:2015届河南省八校高三上学期第一次联考理科数学试卷
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