解题方法
1 . 已知函数
的最小值是m.
(1)求m的值;
(2)若
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7b2dc826e500e362c22ddb6bfb39c8.png)
(1)求m的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054d00a127a585f7401a05d5351c6e37.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若关于
的不等式
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a367909f2f4c8f31102b6845c9553c3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc901cbdb68130ddac3174583dd93c.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96f30e9371643a1d1fa6477b9a9bcdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f88173ef0c29bedd0155b7893d2474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7日内更新
|
140次组卷
|
3卷引用:2024届内蒙古呼和浩特市高三第二次质量数据监测理数试卷
解题方法
3 . 已知函数
,
.
(1)当
时,解不等式
;
(2)若对任意
,都有
成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cac0128a3e24c8f2c15bdf5a776ec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67924b367a3ce000502f6396d080ab56.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b02fa445fd16b43e80cbe3915dbbbb.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)当
时,设函数
的最小值为
,若
均为正数,且
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f221c9185ea740a252fa82ea7a6ea6b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b095c3b3d32619c3e0c581f79cd8f48e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d86b4ad722d7b720603eba9d330fd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143c384e3ed4f411015eadb97737fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae24688d4c45aad43e9af0b7bbfda6b.png)
您最近一年使用:0次
5 . 已知函数
.
(1)求不等式
的解集;
(2)当
时,函数
的最小值为
,若非零实数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7a09fc86d06866679cf7a8a8b733a2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9475044a3907a6bd59aefef9ca343f14.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0db2c49919467a2e14540f2aabd05cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff40d4bcb74a02cad20299244b5f2eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567567c185f2351b5e5c584ecae8c231.png)
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)若关于
的方程
无实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41bb86452018de273e26496c714bcf2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e661afc1ba382f0377c914e9ba6021c8.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764c4a8ad3a55e136666d45f1f8fae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
7 . 已知函数
.
(1)当
时,解不等式
;
(2)当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9eb22a666dee9eb4a9a590dd6aafc7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e693d36b6395a0e28324c29c54151a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f999f9c9246a6d128807b138d9d15de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc2607d8836f265bbc1b2821391194a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-05-25更新
|
190次组卷
|
3卷引用:内蒙古名校联盟2024届高三下学期联合质量检测文科数学试题
解题方法
8 . 已知函数
.
(1)若对任意
,使得
恒成立,求
的取值范围;
(2)令
的最小值为
.若正数
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87cc815b7088da109c05b85fe342281.png)
(1)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847f4ef4685adab7f5a4fc1c23059437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860aea1b2f2c1b861d83c1499f5093ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8505d86fda3d979f87e2f990fbd12ea.png)
您最近一年使用:0次
9 . 已知函数
.
(1)当
时,解不等式
;
(2)若
,且函数
的最小值为5,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4715741fb928a604a95d692061a60bb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55126d3db5710b3b8a6293157261a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253a485de0d7cf96458810db8d5affe6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b431c226d36493acba8ea2d28e9bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b626488a86a56e8d203f0bee60af7829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c14cdaa17fe248c74096dcc8011f2d6.png)
您最近一年使用:0次
解题方法
10 . 已知函数
.
(1)求不等式
的解集;
(2)将函数
的图象与直线
围成的封闭图形的面积记为
,若正数a、b、c满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/313ba9c8f5c6f9c6d64743ac0b5d8f56.png)
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5e99a8ad904bededd27db48ce3a45f.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9cdbd1f1d29c8fc748784e82009ae5a.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de72a5190834f5dbe895596656c038b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/313ba9c8f5c6f9c6d64743ac0b5d8f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e7c06ed691c2159d87386218b67e75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27df7fcb95a2730d8ebbc2644a72b5c9.png)
您最近一年使用:0次