名校
解题方法
1 . 已知
,
.
(1)求
的值;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880c6756bc9571215d5e36a12bcbb4fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bfdb5f50c0514b2b7cb83b2c29407b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e8a621ef4f63633a8a70ababe0ca15.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbe2212c10c3da621f550e8c6409bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f07029c97c324d32f258f18a96654a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d220425cf3f9afe8530087e4f6dc90ad.png)
您最近一年使用:0次
2024-06-03更新
|
242次组卷
|
2卷引用:河南省南阳市第一中学校2023-2024学年高一下学期5月月考数学试题
名校
2 . 若集合
,集合
,其中
,则称集合
是集合
的一个“
元子集”.若“
元子集”
中的元素
满足对任意
,恒有
,则称
为
的一个“个性独立子集”.已知集合
,集合
是
的一个“个性独立子集”.
(1)求所有满足条件的集合
的个数;
(2)若
且互不相等,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b7c647eb8e6be44689333e1a6f1f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473ed4e9293f5066fe367cfa541afa11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d87fa699e2aca137f69e4ac0883dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304e71a623c4412188a800046a970d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4aecf0b7edfa826f73389322a52cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f2c01531dd639f0ad3da0098febbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effaffc8a4d01f865a79933d3c337060.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求所有满足条件的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab3fa353ea21d2dea55e32a354e3dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0736f73b81bec1c5d4efe968cfbe2a.png)
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3 . 已知
.
(1)若
在
(
)上单调,求m的最大值;
(2)若函数
在
上有两个零点
,
,求实数k的取值范围及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d147b24ea0dfc65140246ccc22f9d2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f85560318867b5b8d43e32cb6764ade6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61dff5b63913762b3be82e55a18f3847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94bf818a70d32393a48722e09f01f8c8.png)
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2024-05-09更新
|
1077次组卷
|
3卷引用:河南省漯河市源汇区漯河市高级中学2023-2024学年高一下学期5月月考数学试题
4 . 已知函数
的图象关于直线
对称.
(1)求
的解析式及零点;
(2)将
的图象向右平移
个单位长度,再将所得图象上所有点的横坐标缩短为原来的
,纵坐标不变,得到函数
的图象,求
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f840e4ee79488d70046ed177247c8b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de633b2c143b9f76b29cde1c6ffce71.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b826b1d2d0d7d5df9e561f6733d6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
名校
5 . 已知函数
的图象与
轴的相邻的两个交点之间的距离为
,且图象上一个最高点为
.
(1)求
的解析式;
(2)完善下面的表格,并画出
在
上的大致图象;
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a5abed6dbd6d3233f032292c75af67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95299953e2f5da02a22ad02ed2b654b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)完善下面的表格,并画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
x | 0 | |||||
0 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6435963a885a6b4b2d3ba90d6534d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
解题方法
6 . 已知函数
是定义在
上的偶函数.
(1)求实数
的值;
(2)请问是否存在正数
,使得当
时,函数
的值域为
,若存在这样的正数
,请求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20702169dacaf00486c2f69c0abb47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)请问是否存在正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a56806c9bf7927769af420fdabe96cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119b20f27ee885c82edf447d24cc0cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
您最近一年使用:0次
7 . 函数
,已知函数
的图象与x轴相邻两个交点的距离为
,且图象关于点
对称.
(1)求
的单调区间;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cbf52c0f5441ebdd546478fb5aaffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1238c621eb3070f1c3b3056ef99c4378.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c92834fd2618941a02681fbfdcfc76.png)
您最近一年使用:0次
2024-04-30更新
|
236次组卷
|
2卷引用:河南省百师联盟2023-2024学年高一下学期4月联考数学试题
8 . 已知函数
的部分图象如图所示.
的解析式.
(2)当
时,关于
的方程
有两个不同的实根
,且
.
①求
的取值范围;
②求函数
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0f153e044199055eec43c5226c5241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed07a76ec8ea66b7fdb8088098ca9ec.png)
您最近一年使用:0次
2024-04-26更新
|
273次组卷
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3卷引用:河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期6月月考数学试题
河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期6月月考数学试题江西省部分学校2023-2024学年高一下学期4月期中考试数学试题(已下线)高一下期末考前押题卷02-期末考点大串讲(人教B版2019)
名校
9 . 函数
的部分图像如图所示.
的解析式;
(2)若
,求
的值;
(3)若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffd082d7fd097092d59b2ae4fde852f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27010021129259f849dc0d0fb42642a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c46d4adcf012dd489b774aa90734fa.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b10f0cec1f3becd24f2e486e1422aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-04-24更新
|
755次组卷
|
3卷引用:河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期5月月考数学试题
河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期5月月考数学试题辽宁省大连市一0三中学2023-2024学年高一下学期4月月考数学试卷(已下线)专题02 三角函数的图象与性质-期末考点大串讲(人教B版2019必修第三册)
10 . 已知函数
.
(1)若
,
的最小值为
,求
的对称中心;
(2)已知
,函数
图象向右平移
个单位得到函数
的图象,
是
的一个零点,若函数
在
(
且
)上恰好有12个零点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495a8343cec47c319ab17d44de07fa31.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c879f7098e2fdfeb2b22976bf2cad89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84582197ed0d1963e42fb03a0fa14158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460b60b613559d56138a6a7dae0c07cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7569cd7e9b31ad838230133b9bc8314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
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