1 . 将函数
的图象上所有点的横坐标缩短到原来的
,纵坐标不变,得到
的图象.
(1)求
的解析式与最小正周期;
(2)求
图象的对称中心的坐标;
(3)设函数
,求
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8a4025a394f30a4f8e7a58c921dbccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2595780da91e1c21306800e7fa7d2fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbae6c61828aa9d7a6a04535831151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45f644764b91e5d01e6f830b50d3942.png)
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2 . 甲、乙等6名同学周末参加环保活动,活动结束后他们站成一排拍照留念.
(1)求甲、乙相邻的不同站法种数;
(2)求甲、乙都不站两端的不同站法种数.
(1)求甲、乙相邻的不同站法种数;
(2)求甲、乙都不站两端的不同站法种数.
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3 . 已知复数
,
,其中
是虚数单位,
.
(1)若
为纯虚数,求
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b54689b43d180cf195f5c8d2b65b0cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65cc1623203ba4f290f3acae07f3a8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14650b1281c7c802b1acc440ee534511.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de59a6da1ee210ccf04651ae53275dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
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名校
4 . 已知
,
,
.
(1)若
,求
,
;
(2)若
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e5eea5f7f98ca8632358b7e49ceb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbaef0985c61e59281963e2edc0c0ed1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788203620f5d6b035b7566c417dc09ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150fdec66e3bab1d73073d0f091f08ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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7日内更新
|
79次组卷
|
2卷引用:广西桂林市2023-2024学年高一下学期阶段性联合质量检测数学卷
名校
解题方法
5 . 记
的内角
的对边分别为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c32540dd35e216215b44ce3e03d8368.png)
(1)试判断
的形状;
(2)若
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c32540dd35e216215b44ce3e03d8368.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-06-11更新
|
1938次组卷
|
5卷引用:广西来宾市忻城县高级中学2023-2024学年高一下学期5月月考数学试卷
名校
6 . 某学校组织游戏活动,规则是学生从盒子中有放回的摸球且每次只能摸取1个球,每次摸球结果相互独立,盒中有1分和2分的球若干,摸到1分球的概率为
,摸到2分球的概率为
.
(1)若学生甲摸球2次,其总得分记为
,求随机变量
的分布列与期望;
(2)学生甲、乙各摸5次球,最终得分若相同,则都不获得奖励;若不同,则得分多者获得奖励.已知甲前3次摸球得了6分,求乙获得奖励的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(1)若学生甲摸球2次,其总得分记为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)学生甲、乙各摸5次球,最终得分若相同,则都不获得奖励;若不同,则得分多者获得奖励.已知甲前3次摸球得了6分,求乙获得奖励的概率.
您最近一年使用:0次
2024-06-10更新
|
1296次组卷
|
4卷引用:广西南宁市第三中学2024届高三下学期校二模数学试题
名校
7 . 已知函数
的单调递增区间是
单调递减区间是
.
(1)求函数
的解析式;
(2)若
的图象与直线
恰有三个公共点,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf4f024fd6c86c6ff6a17e541a50a994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea1541173d7223d65a890a60ab38a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99185e48ab98b6757a2b9bb5aff7d0cc.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
8 . 已知平面向量
满足
,
,
与
的夹角为
.
(1)求
;
(2)当实数
为何值时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fc7a342293983cc4865498c121493d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ec7096fee04d80cabd9e831a90fae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e6f98f23fea7db0f74897928024ca0.png)
(2)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d312345f0d2e37235fe50df09c0656.png)
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名校
解题方法
9 . 已知数列
的前n项和为
,且
.
(1)求
的通项公式;
(2)若数列
满足
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978f6931ac6851b02394d313b3f793e2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6648094ecc7f10ca535dee3fd090cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
您最近一年使用:0次
2024-05-08更新
|
3227次组卷
|
11卷引用:广西南宁市第三中学2024届高三下学期校二模数学试题
广西南宁市第三中学2024届高三下学期校二模数学试题河北省保定市九校2024届高三下学期二模数学试题山西省晋城市2024届高三第三次模拟考试数学试题浙江省强基联盟2024届高三下学期5月全国“优创名校”联考数学试题辽宁省抚顺市六校协作体2024届高三下学期5月模拟考试数学试卷(已下线)易错点6 求数列通项时遗漏对首项的验证湖南省长沙市长郡中学2024届高三下学期模拟(三)数学试题广东省湛江市第二十一中学2024届高三高考冲刺数学试题广东省广州市广东实验中学2024届高三教学情况测试(一)江苏省盐城中学2023-2024学年高二下学期5月阶段性质量检测数学试题广东省中山市中山纪念中学2023-2024学年高二下学期第二次月考数学试卷
名校
10 . (1)已知复数
为纯虚数,其中
为实数,求
;
(2)若复数
满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f299e249e5571012bdfb96759ed3a5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d7f43d3bc9abc3f9930be73484d70f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
您最近一年使用:0次