解题方法
1 . 某袋中装有大小相同质地均匀的黑球和白球共5个.从袋中随机取出3个球,恰全为黑球的概率为
,则黑球的个数为______ .若记取出3个球中黑球的个数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc23dc1709498e8920d7d243213190b2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca83504e351d7516f61a3052d7a31859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc23dc1709498e8920d7d243213190b2.png)
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2024-01-04更新
|
792次组卷
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7卷引用:浙江省温州市平阳县2020届高三下学期6月高考适应性考试数学试题
浙江省温州市平阳县2020届高三下学期6月高考适应性考试数学试题(已下线)考点13 二项分布与超级几何分布 2024届高考数学考点总动员(已下线)7.4.2超几何分布(分层练习,4大题型)-2023-2024学年高二数学同步精品课堂(人教A版2019选择性必修第三册)(已下线)第07讲 7.4.2超几何分布-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第三册)(已下线)8.2 离散型随机变量及其分布列(1)(已下线)7.4.2超几何分布 第三练 能力提升拔高(已下线)7.4.2 超几何分布——课后作业(基础版)
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2 . 定义在
上的偶函数
满足
,且
,当
时,
,已知方程
在区间
上所有的实数根之和为
.将函数
图象上所有的点的纵坐标伸长到原来
倍(横坐标不变),得到函数
的图象,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3d9c54d754d2fd0d568d94ae81be6b.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a893e1e9b439e105c34da0c51364662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3980c52927f12c114f3b291ad714d778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e2e0db4986f94e934f4d973e45b93f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de683b71a7040a97816ca33081057f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa06426cd82744310cc1e72bed6cad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9d7c474f65fd6639a634d302090b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3d9c54d754d2fd0d568d94ae81be6b.png)
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3 . 已知数列
满足
,数列
满足
.若数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
___________ ;使得
成立的
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca1a229f87dda83dbe6c46616a82294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0946b13cc360976aea85a222f66cc7f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30136113176ba7fe660e998d0873157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd8dd04281c349fa0d24496938d4d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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4 . 已知
,函数
,当
时,不等式
的解集是________________ .若函数
恰有2个零点,则
的取值范围是________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1158df70ea7d665cd0a43fe98ba11375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-09-09更新
|
223次组卷
|
3卷引用:辽宁省大连市第八中学2020-2021学年高三上学期9月月考数学试题
名校
解题方法
5 . 在
中,D为边
的中点,经过
的中点E的直线交线段
,
于点M,N,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
______ ;该直线将
分成的两部分,即
与四边形
的面积之比的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328e8ec9120d4f382d63802421770a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61719eab7f04cd838d37de009ea1faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7af6b531f532eb39c26d36e9dd97254d.png)
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2023-10-19更新
|
537次组卷
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4卷引用:【市级联考】浙江省宁波市2019届高三上学期期末考试数学试题
【市级联考】浙江省宁波市2019届高三上学期期末考试数学试题(已下线)第06讲 第五章 平面向量、数系的扩充与复数的引入(单元测试)(测)-《2020年高考一轮复习讲练测》(浙江版)天津市实验中学2023-2024学年高三上学期第二次阶段检测数学试题天津市河西区天津实验中学2024届高三上学期第二次月考数学试题
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6 . 在
中,a、b、c分别为
、
、
的对边长,已知a,b,c成等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2a8bf5e05a07c93a7104839fc21849.png)
___________ ,
的形状为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ca9709c0e70e60abbd525b652e050d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2a8bf5e05a07c93a7104839fc21849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
7 . 在正项等比数列
中,已知
.数列
的通项公式是____ ,令
,求数列
的前100项的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbdd2e3efbef1ff014df55b242eced.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfcf728f742c60e73a3d274f637aec2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c894abaa9a40dba261197e5312c2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbdd2e3efbef1ff014df55b242eced.png)
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8 . 已知函数
,
,
,其中
表示a,b中最大的数.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d08717f13c81d35e5e1ca03d09f0de8.png)
________ ;若
对
恒成立,则t的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981bef8467438139eff0195685fd634b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558c16b4a752c61e60a9d9a974d83d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7225c625819b7bfeb393a377ec2d74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9d48e670be1ddbfee3738824a7eccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d08717f13c81d35e5e1ca03d09f0de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4561a8be31924a8c25169873501b3b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
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2023-05-31更新
|
478次组卷
|
4卷引用:【区级联考】北京市海淀区2019届高三上学期期末考试数学文试题
名校
解题方法
9 . 若
满足关系式
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b735d04e727bc230a4904301a2ae124.png)
____________ ,若
,则实数m的取值范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bf7e1d5d48843bc6b3894640bdb813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b735d04e727bc230a4904301a2ae124.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33aa810299ac0fe748997299234c0e55.png)
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2022-12-19更新
|
528次组卷
|
3卷引用:山东省聊城市聊城第一中学2020-2021学年高一上学期期中数学试题
名校
解题方法
10 . 如图,在矩形ABCD中,M为BC的中点,将
沿直线AM翻折至
,连接
,N为
的中点,AB=BM=1,则
的长是______ ;在翻折过程中,当三棱锥
的体积最大时,三棱锥
外接球的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e054544e4ece645f5e06c9d24a8b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b47bffe27791c8a1cbb3180a480d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b47bffe27791c8a1cbb3180a480d13.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/30/5abb6029-110f-4cc8-be3c-746851aaeb4f.png?resizew=156)
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