名校
1 . 已知函数
,
.
(1)讨论
的单调性.
(2)是否存在两个正整数
,
,使得当
时,
?若存在,求出所有满足条件的
,
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ad5bc5188a9fb2b43d1396b3bb5576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce2594833690eedb3328fe747feb3a3.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在两个正整数
![](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/2210f152080d9a68a97c805f5c1cde96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92dbbb602aaa87eab44420c47a57d32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
您最近一年使用:0次
2024-02-17更新
|
1092次组卷
|
6卷引用:山西省忻州市2023-2024学年高二上学期1月期末考试数学试题
解题方法
2 . 已知定义在
上的奇函数
满足
,且当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcdce390913ba35a3c3d13af6ac335f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd230a9c21ae0ad7b60c8a0cdbc2101.png)
A.![]() | B.![]() ![]() |
C.![]() | D.函数![]() |
您最近一年使用:0次
2024-02-17更新
|
282次组卷
|
2卷引用:山西省忻州市2023-2024学年高一上学期期末考试数学试题
3 . 某企业制定了一个关于销售人员的提成方案,如下表:
记销售人员每月的提成为
(单位:万元),每月的销售总额为
(单位:万元).
注:表格中的
(
)表示销售额超过100万元的部分.另附参考公式:销售额×销售额的提成比例=提成金额.
(1)试写出提成
关于销售总额
的关系式;
(2)若某销售人员某月的提成不低于7万元,试问该销售人员当月的销售总额至少为多少万元?
销售人员个人每月销售额/万元 | 销售额的提成比例 |
不超过100万元的部分 | 5% |
超过100万元的部分 | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
注:表格中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90e8d5d7fed033f48270b1ff825fcd5.png)
(1)试写出提成
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若某销售人员某月的提成不低于7万元,试问该销售人员当月的销售总额至少为多少万元?
您最近一年使用:0次
2024-02-13更新
|
112次组卷
|
3卷引用:山西省忻州市2023-2024学年高一上学期期末考试数学试题
解题方法
4 . 已知幂函数
.
(1)求
的解析式;
(2)判断函数
的奇偶性,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257c7213bbaf494b941d1446233330fc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81870ad0316da405f6fb98fef0364c73.png)
您最近一年使用:0次
2024-02-12更新
|
279次组卷
|
2卷引用:山西省忻州市2023-2024学年高一上学期期末考试数学试题
解题方法
5 . 已知直线
,直线
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340aebb58fc3042b14e08843e697b85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f9e9e126c8e011c35654faf776828e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.4 | B.-2 | C.4或-2 | D.3 |
您最近一年使用:0次
2024-02-12更新
|
264次组卷
|
2卷引用:山西省忻州市2023-2024学年高二上学期1月期末考试数学试题
解题方法
6 . 已知正项数列
满足
,数列
的前
项和为
,且
,
.
(1)求
,
的通项公式;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754fab8d21931dadc416bec9d0372322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.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/24c875cd222d7709a35d2cc9835643da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5a7a17a394e868e0acd1803a9ab795.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2eda366e9adce76a1811abd7562e3f4.png)
您最近一年使用:0次
解题方法
7 . 已知函数
(
,
)的图象的两条相邻对称轴之间的距离是
,将
图象上所有的点先向右平移
个单位长度,再将所得图象上所有的点的横坐标缩短到原来的
,得到函数
的图象,且
为偶函数.
(1)求
的解析式;
(2)若不等式
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b2794c799d5340ba80ea0594b64f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af87a22a39bd12c4734b0bdf1596b42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ce6ea3061b38e1ec3ebb2f9e6ff5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/651596108cabf813d5e2f394b2c67100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d99fe6bbe981c80b20e91d85b322de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
8 . “
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ff98e615f886135ca5ede0a082891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3a5a8a7a5aa1d1bbf65e30741910e4.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-01-30更新
|
234次组卷
|
2卷引用:山西省忻州市2023-2024学年高一上学期期末考试数学试题
9 . 下列与
的值相等的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d018d99ab1f9dfa62e5edd68611fc97.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知角
是第一象限角,且满足
.
(1)求
,
,
的值;
(2)求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f44f98ee8a877f24768be142413b7f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3286884de035d8414d3e4f33236b9e1.png)
您最近一年使用:0次