解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478d6d7426ff2d08284e691448585152.png)
(1)当
时,解不等式
;
(2)解关于
的不等式
;
(3)已知
,当
时,若对任意的
,总存在
,使
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478d6d7426ff2d08284e691448585152.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7479f1080f30fbec99ef1b40162aa0.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4801e06090648bd73b1782d8156d4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0496d81c441e6cfa9c26ff7e83746eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a32fef274f43f90a37c57c46f2c670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 已知二次函数
满足
,
,若不等式
有唯一实数解.
(1)求函数
的解析式;
(2)若函数
在
上的最小值为
.
(i)求
;
(ii)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0778b0ca91abc0d97e4401bdc7bcf04e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11acb9d3ee4a107c0ea98aab19720164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1890c8588ea326ec785b1e4079fad94e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82dca4a0e082b5cbdb1beb6f4d1e2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
(ii)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce4d6ed223a8a3bf46289f68d2e2acd.png)
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3 . 已知函数
.
(1)若
,求
在区间
上的值域;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91748adb2e03f43a23ab4668b05db8d8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99185e48ab98b6757a2b9bb5aff7d0cc.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
您最近一年使用:0次
名校
4 . (1)已知关于
的不等式
的解集为
,求函数
在区间
上的最小值和最大值;
(2)解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b7bb27a2bf547675eb6abd115ab6c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bb8717370fd0b5b3fb6b8d578b9bedd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fb8c2ea6117596f02445b70d19afb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28b62727a50c289fcbe501177230e62.png)
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名校
5 . 已知函数
.
(1)当
时,求
在区间
上的最大值和最小值.
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267765cd228576b62e1725187854ae5c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857e07c5fb7f2410d6d267a00889db10.png)
您最近一年使用:0次
2023-11-11更新
|
375次组卷
|
2卷引用:北京市怀柔区青苗学校2023-2024学年高一上学期期中考试数学试题
解题方法
6 . 设函数
,其中
.
(1)若
,解关于
的不等式
;
(2)当
时,
的最大值记为
,最小值记为
,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04605661d03d02f3035244f2d843d38b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c2135e91da55f6da3a557f66cc5bc88.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac6a2f7366e0190592444bb60d3cea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5dc99a0493caf8b65827518c965e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259af1c1d81f10a3408dc36c03e2f5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54c5c754032c2c8190ff90fabbb78df.png)
您最近一年使用:0次
解题方法
7 . 已知函数
.
(1)若
,关于
的不等式
在区间
上恒成立,求
的取值范围;
(2)若
,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647c927ca36cc32cd6cac5ef6cd508e8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b98dfef7d7480a2d802744e255d8ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44503053441bc35899b173c34c69871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
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解题方法
8 . 已知函数
,且
.
(1)若
,求函数
在
上的值域;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384cf5752e8955bca0026aded878819a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
您最近一年使用:0次
9 . 已知函数
.
(1)若
,求
在区间
上的值域;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ede4a660ea4ec1bac8834a388f54a69.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a92ba8b43bebdf7d6c40917f4d3e110.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
您最近一年使用:0次
2023-10-07更新
|
326次组卷
|
4卷引用:江苏省南通市2023-2024学年高一上学期10月质量监测数学试题
名校
解题方法
10 . 已知函数
,设
.
(1)当
时,解关于
的不等式
;
(2)对任意的
,函数
的图像总在函数
的图像的下方,求正数
的范围;
(3)设函数
.当
时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bac74808b9877e551f39ce57d5f41b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ad4b6efae29ab7dec69eedf348eaa0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e02125e0a1f3cda39742b765baa74c.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58427d5aa7deeca47c8789241913f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ca70a0df946f11f060de3821aea08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2009030213f354e06954c788caa41c.png)
您最近一年使用:0次