1 . 设a、b、c、p为实数,若同时满足不等式
、
与
的全体实数x所组成的集合等于
.则关于结论:①a、b、c至少有一个为0;②
.下列判断中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2f84c4c975416035f8cad81c16c7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745f264b3306dc539570ba4fd9748007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913adf326c389a213d6cfebc4f2258e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d9880afb9e2262dbfcf20235e85a62.png)
A.①和②都正确 | B.①和②都错误 |
C.①正确,②错误 | D.①错误,②正确 |
您最近一年使用:0次
名校
解题方法
2 . 已知下列四个说法中:
①
与
表示同一函数;
②已知函数
的定义域为
,则
的定义域为
;
③不等式
对于
恒成立,则
的取值范围是
;
④对于集合
,
,
若
,则
的取值范围
,其中正确说法的序号是______ .
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b3e897dea11f9b673c1ad2d5878bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9727cca4ae89db26bfa2f8b2bb76c8c4.png)
②已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b1af5d4b930f8989cf63d44768621e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8dd34d6699daf6eae648c1fae51789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fd84394e897ebf6c4814b841d427b.png)
③不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e2166990a5abe6f719ddc44580d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3213a7a72b5e376ee25efd535398fb7d.png)
④对于集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59df66e355dfa724058cd975240e5f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac3ecd5d06ab40ec3f071ea185f7e75.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0f0162009195038650a6ccea57352e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bbd954f890ec2a777fa411c4c313fd.png)
您最近一年使用:0次
3 . 已知关于
的不等式
的解集为
.
(1)若
,求实数
的取值范围,
(2)若存在两个实数
,且
,使得
或
,求实数
的取值范围;
(3)李华说集合
中可能仅有一个整数,试判断李华的说法是否正确?并说明你的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d270e0447468a0173199cfcf7e8019.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b897a0ec98766cc01c277db5a6f1859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若存在两个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6810589b9d4cff40ea3c015e466e6e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f2cc04996a6efcba936f437117a4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f98d21cbb21fcb8392e77e462c1da76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)李华说集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2023-10-13更新
|
64次组卷
|
3卷引用:河北省卓越联盟2023-2024学年高一上学期10月月考数学试题