名校
1 . 已知函数
,
,
.若不等式
的解集为
.
(1)求
,
的值及
;
(2)判断函数
在区间
上的单调性,并利用定义证明你的结论;
(3)已知
,
,且
,若
,试证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2441707b0b0c9c43d21d380fe60615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118a669f4f82f88999ee9d28e6c3baa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caecb8cec722b44cf0803c12710678ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860e120d0f832eb1f771602832d6e067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c77953ae2fe47aad44408dd4c384699.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fdeba282b028321696be7f90f2cbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c9dd25e0bb3922cf5063700d50e66d.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4dc717abdb0c015bc8b4def6750af1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/220829e3de6b70d8bb4ad2dfe4c6a937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b6fc02b5fef923c6c60b85613af810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01015e1339e400649049d5684852c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bf3ee83962aa5fb9f95ac27469bbb7.png)
您最近一年使用:0次
2022-10-24更新
|
589次组卷
|
9卷引用:福建省福州市连江尚德中学等六校2021-2022学年高一上学期期中考数学试题
福建省福州市连江尚德中学等六校2021-2022学年高一上学期期中考数学试题广东省湛江市2021-2022学年高一上学期期末数学试题广东省普宁市第二中学2021-2022学年高一下学期期中数学试题(已下线)专题19 函数的基本性质 (1)广东省深圳市罗湖外国语中学2021-2022学年高一下学期期中数学试卷山东省淄博市淄博第十一中学2022-2023学年高一上学期期中数学试题广东省广州市协和中学等三校2022-2023学年高一上学期期末联考数学试题(已下线)3.2.1 单调性与最大(小)值——单调性(第1课时)(分层作业)-【上好课】广东省韶关市张九龄纪念学校2022-2023学年高二上学期期中数学试题
名校
2 . 已知
是定义在
上的函数.
(1)若不等式
的解集恰好是
或
,求实数
的值;
(2)
时,方程
有三个相异的实根
,
,
,且
.
(ⅰ)求证:
;
(ⅱ)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8b2190e5ad534b5b2383ab2695173a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6009d51b897a4f898b57e483234f391a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b031ecc4b0f85ec6ead97166acc62258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40bdf0399614357ab1bc50ccae53cbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
(ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c57ce912e4e2429fb77ca309161da327.png)
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c379b6df6e816c10f1ec0aa84f00bec.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.若不等式
的解集为
.
(1)求
的值及
的值域;
(2)已知
,若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8717af5b57ca8eb3402b17118fec7a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7d19907517d724ba9d3db9096b3112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9242dd26ba42e906d512542f02807779.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d41acc47493556617fe7b9e55093d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ca13a93b5f401c0d39ba52b0cffcb0.png)
您最近一年使用:0次
2023-11-13更新
|
122次组卷
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2卷引用:福建省厦门大学附属科技中学2023-2024学年高一上学期期中考试数学试题