1 . 已知二次函数
(
均为实数)满足
,对于任意实数
都有
,并且当
时,有
.
(1)求
的值;
(2)证明
;
(3)当
时,函数
(
为实数)是单调的,求证:
或
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431537df789febf4bc45e3dc23cefaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5480f15ca0864627e652e67784fc4b07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58427d5aa7deeca47c8789241913f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e08b4f3fa330e70f9d28bc866b5ddc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8c25a0a31b41ea8aa9a8658af4953d.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6785823721fb2e288b417ba2d617ef04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a878fd5a7104a7f42770a19097d56457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d191d6de821fbb06a51b5a20112db6de.png)
您最近一年使用:0次
2021-08-23更新
|
82次组卷
|
2卷引用:北京名校2023届高三一轮总复习 第2章 函数与导数 2.10 函数的综合
名校
解题方法
2 . 已知函数
.
(1)当
时,利用函数单调性定义证明
在
上单调递增;
(2)当
时,求函数在
的值域;
(3)若对任意
,
恒成立,试求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bec191b7f28c10880a8bd158e23f2a4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5910d95ffc7c4974439393b71b13ab4e.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c164755dc2d7cff80fb4c9cffc9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
您最近一年使用:0次
2023-08-10更新
|
641次组卷
|
3卷引用:四川省绵阳实验高级中学2023-2024学年度高三上学期开学考试理科数学试题
四川省绵阳实验高级中学2023-2024学年度高三上学期开学考试理科数学试题(已下线)5.3 函数的单调性 (2)-【帮课堂】(苏教版2019必修第一册)陕西省西安市鄠邑区第四中学2022-2023学年高一上学期期中数学试题
解题方法
3 . 设
的内角
的对边分别为
,
为钝角,且
.
(1)探究
与
的关系并证明你的结论;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f44eb5f3279ca91dd1c110fdb4b3b6.png)
(1)探究
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e541f56ea4827edcd9ef463aa8e0b0.png)
您最近一年使用:0次
2022-08-30更新
|
827次组卷
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4卷引用:专题12 解三角形综合-1
(已下线)专题12 解三角形综合-1湖南省湘潭市2022-2023学年高三上学期入学摸底考试数学试题(已下线)专题4-4 三角函数与解三角形大题综合归类 - 2河北省邯郸市部分学校2023届高三上学期11月月考数学试题