1 . 函数
的定义域是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64263fe2ca48e694c87496d61e63fb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-13更新
|
518次组卷
|
2卷引用:陕西省西安市雁塔区第二中学2023-2024学年高二下学期第一次阶段性测评数学试卷
名校
2 . 已知函数
(
且
)的图象过定点P,则定点P的坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c216271236d8f3357d3b1544705f55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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解题方法
3 . 已知函数
,且
.
(1)求函数
的解析式;
(2)判断
在区间
上的单调性,并用函数单调性的定义证明你的判断.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f44e619b41991f2002cc203be8d6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b5320a6f673d6c2e70a815adaf2440.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
,若
,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a921ed2c0fc993a6cd2dba8cf5a1bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3487d1d5aa119c3c45fc861f23badeca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 已知函数
的定义域为
为奇函数,且对于任意
,都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f79a9d20a20a0d5040d15a777f4e3b1.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9103c3be569d9298e20868fae00ff402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fcea5d5d04fef690da53cd17463f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f79a9d20a20a0d5040d15a777f4e3b1.png)
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6 . 若集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe156c10c39e5214f325ce8a2180858.png)
_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8c55b44e098a542aa107731a4e0fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe156c10c39e5214f325ce8a2180858.png)
您最近一年使用:0次
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解题方法
7 . 已知函数
的定义域为
,
是偶函数,
是奇函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
8 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70050161d248d91516c51d293b9205ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b384e8881221a14de8f458c529b77e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0be641077164366a799b2dc94d610e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 若函数
满足
,当
时,
,若在区间
上,
有两个零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8df1f1dbc0a2e8b771f17cb59738c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84d41b94678bd8e3c114f40adb5425c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab166615f6a41dd151115392bcbdbf04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知集合
,则
中元素的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95747a4539800a58c056d9960641fa64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次