解题方法
1 . 某学校为了丰富学生的课余生活,以班级为单位组织学生开展古诗词背诵比赛,随机抽取一首,背诵正确加10分,背诵错误减10分,且背诵结果只有“正确”和“错误”两种.其中某班级学生背诵正确的概率
,记该班级完成
首背诵后的总得分为
.
(1)求
且
的概率;
(2)记
,求
的分布列及数学期望.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74b0aa7a6f6dcab7d9101b98504ae2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7a8cca5db00fd50e2e7d63e39aef34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847a75a240825e7e43f59574001706b9.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea7fd40adcfb0a4ca29661bb73e5f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
您最近一年使用:0次
名校
2 . 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
3 . 在平面直角坐标系xOy中,已知圆C1:(x+3)2+(y-1)2=4,圆C2与圆C1关于直线14x+8y-31=0对称.
(1)求圆C2的方程;
(2)设P为平面上的点,满足下列条件:过点P存在无穷多对互相垂直的直线l1和l2(l1,l2的斜率存在且不为0),它们分别与圆C1和圆C2相交,且直线l1被圆C1截得的弦长与直线l2被圆C2截得的弦长相等.试求所有满足条件的点P的坐标.
(1)求圆C2的方程;
(2)设P为平面上的点,满足下列条件:过点P存在无穷多对互相垂直的直线l1和l2(l1,l2的斜率存在且不为0),它们分别与圆C1和圆C2相交,且直线l1被圆C1截得的弦长与直线l2被圆C2截得的弦长相等.试求所有满足条件的点P的坐标.
您最近一年使用:0次
4 . 【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
5 . 已知圆
的圆心在直线
上,且与直线
相切于点
.
(1)求圆
方程;
(2)是否存在过点
的直线
与圆
交于
两点,且
的面积是
(
为坐标原点),若存在,求出直线
的方程,若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/17bcff775c514a90ab3a7c00c05e5804.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/b80885e74ae74f6eb7b2e83a9e9fde44.png?resizew=56)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/2af23dd6926f42f3b314cad33be57d67.png?resizew=80)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/7de8e1ece3f7402999f8be17b1ecec33.png?resizew=55)
(1)求圆
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/266fd6493b74449a9393cd53af96cdca.png?resizew=16)
(2)是否存在过点
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/162da034c64b4798a3b2322f7cc5d5a4.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/bb698ee86a704367875ceac8fbc7d407.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/79aeee873f904ac78297c6cd758e9b1e.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/6fe06310008a4ade9d255196a0b1e736.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/a993fd466e894c92840bb4880918a57c.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/01872a498b8f4b649460be9830570e85.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/fb588859b4ec4d56a85b9e7ea8d3295a.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/9cdcfa3c836b47c2aa4bef8fc5bbf81e.png?resizew=9)
您最近一年使用:0次
6 . 选修4-1:几何证明选讲
如图,
是
的内接三角形,
是
的切线,
是线段
上一点,经过
作
的平行直线与
交于
点,与
交于
点.
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573010431688704/1573010437718016/STEM/7967b2263a6a46c8b405174ab067c221.png)
(1)求证:
;
(2)若
,求
的面积.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bf58e5fea1189b33cf55d86335452f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bf58e5fea1189b33cf55d86335452f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573010431688704/1573010437718016/STEM/7967b2263a6a46c8b405174ab067c221.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c91f17f78e4b800a20a7726dcad30d0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db8e8ffcb352356258b8dcc374d1506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
您最近一年使用:0次
2016-12-04更新
|
233次组卷
|
2卷引用:2016届云南省高三第二次统一检测数学(理)试卷
7 . 选修4-1:几何证明选讲
如图,点
为圆
上一点,
为圆的切线,
为圆的直径,
.
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573002292027392/1573002298654720/STEM/e00d7686f2f74905a4e5cc20675e6bda.png)
(1)若
交圆
于点
,
,求
的长;
(2)若连接
并延长交圆
于
、
两点,
于
,求
的长.
如图,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81574a3738c0a314293ff7c74248971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4709e7fb4cb71678ea2b651e764f7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5402fd66f25b025c2f89c0897354d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30be2ed62f1f7c66141587c55a99730.png)
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573002292027392/1573002298654720/STEM/e00d7686f2f74905a4e5cc20675e6bda.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caef922685cef76f1ad8475c29bd04a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81574a3738c0a314293ff7c74248971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391c0e2fc44598610d519dacb778062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ff05e4dc3d4edf8799e02e19d3986d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5402fd66f25b025c2f89c0897354d9.png)
(2)若连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f1c7a1c15c00631924d3b5f8bfadd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81574a3738c0a314293ff7c74248971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa5694373bd78b1ca2180f831bf1c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2252dec4cf2fd59caff617269567806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48895a93a9170775c1a8a76dd058ae58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a44be92f38e063a01b8cd67418815cd.png)
您最近一年使用:0次
2016-12-04更新
|
217次组卷
|
2卷引用:2016届河南新乡名校学术联盟高三高考押题四理数学试卷
8 . 选修4-1:几何证明选讲
如图,已知⊙
和⊙
相交于
两点,
为⊙
的直径,直线
交⊙
于点
,点
为弧
中点,连结
分别交⊙
、
于点
,连结
.
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/0788126bbbee4b6ab1a24012150760b9.png)
(Ⅰ)求证:
;
(Ⅱ)求证:
.
如图,已知⊙
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/21dbc307c442440bb71ba4e3668b1d75.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/72d92c8dfb6f46f6bfdb5f66bd0dca18.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/ae28a27e8e114a6790fa164387cb9124.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/21dbc307c442440bb71ba4e3668b1d75.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/ee413e70c134433e87e80ec487fefaca.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/23f19740df0840c1a3ad61d7507572d0.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/4ef4f3f4f55e417d845c7d87be341805.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/d0ce8c3b127649f48eec6b5bcca9e4f4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/7690c973d5b846d5956897cc35c7df0f.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/0788126bbbee4b6ab1a24012150760b9.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/b82f9a16cc5a40759dfde97e13b611b7.png)
(Ⅱ)求证:
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c42772cd27f940aa9d287ee79e2fd3f7.png)
您最近一年使用:0次
9 . 如图所示,
为以
为直径的圆
的切线,
为切点,
为圆周上一点,
,直线
交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/a4ce8c32f06244e1a15242a05c5f3c2d.png)
(1)求证:直线
是圆
的切线;
(2)若
,
,求线段
的长.
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/f4d399a4d95f4e4986bc69e8addecbcb.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/d900b01e8d754989b68e7e5da50ae09a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/4796d7d1550545f5841f0c855f935413.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/1e63e56eea8e48aa93d8b128221a22d6.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/3fe9e2a5e7bd45349202edeae9b53e05.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/c9bded80d9854945bb7cc5c935b41258.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/e2ea61d9b5d34e7a804fb12b7f51d9e7.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/d900b01e8d754989b68e7e5da50ae09a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/6d6708a57d764cb6ae1494818111cfb8.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/a4ce8c32f06244e1a15242a05c5f3c2d.png)
(1)求证:直线
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/e2ea61d9b5d34e7a804fb12b7f51d9e7.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/4796d7d1550545f5841f0c855f935413.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/6e6758e09a3a4ee9a9f59155b6f7a204.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/390d78d8afa94721bed123c9f813853f.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/04fd07e407c74c8d9b3865d9ef7e322a.png)
您最近一年使用:0次
名校
10 . 如图,直线PQ与⊙O相切于点A,AB是⊙O的弦,∠PAB的平分线AC交⊙O于点C,连结CB,并延长与直线PQ相交于点Q,若AQ=6,AC=5.
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572607145648128/1572607151489024/STEM/0359539e1f0c4416859950790998664e.png)
(Ⅰ)求证:QC2﹣QA2=BC
QC;
(Ⅱ)求弦AB的长.
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572607145648128/1572607151489024/STEM/0359539e1f0c4416859950790998664e.png)
(Ⅰ)求证:QC2﹣QA2=BC
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b18d78c40ce368f60208949c5ae3fb.png)
(Ⅱ)求弦AB的长.
您最近一年使用:0次
2016-12-04更新
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507次组卷
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3卷引用:2016届河北省衡水中学高三下学期二调考试理科数学试卷