解题方法
1 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)对于任意的正实数m,n,且
,若
恒成立,求实数a的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447ea620900858bad3b916dec0f091a7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188281cc0c7af6e95c32b9bbb94ffc21.png)
(2)对于任意的正实数m,n,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a548d0b3ceef145f2f1583d02d70f769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df45c04a9ee9f91fbdb04fd68b64befd.png)
您最近一年使用:0次
2023-05-03更新
|
176次组卷
|
2卷引用:新疆乌鲁木齐市等5地2023届高三高考第二次适应性检测数学(理)试题
解题方法
2 . 已知
.
(1)若
.关于
的不等式
的解集包含区间
,求
的范围;
(2)若
的最小值为5,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd20f8454292a973dbfaa9e94cb0311.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/2677d8cb044df55cbca3c905c286a952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a0d5dc7533a26efbe6d75f9712b582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/175d0c99e866f1db915462a91b356ef3.png)
您最近一年使用:0次
3 . 设函数
,不等式
的解集是
.
(1)求实数
的值;
(2)若
对一切
恒成立,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda0d32c2d821c5f9d967f0c9470bc68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d24227741bf427e6bd73490baf3c3d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa85800cca03f7451f5cf2f9879cc0bc.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bcb69e181661c9b1803a83004adcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2017-02-08更新
|
427次组卷
|
3卷引用:2015-2016学年重庆市巴蜀中学高二理下学期期末数学试卷
4 . 设
.
(1)当
时,
,求
的取值范围;
(2)若对任意
恒成立,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b081916f918fa50d4a585d66bc929233.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00879cffccc124857ca755a8c345e45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a9f7884d2a1a1f304d8d468d8dd47c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d790a55eb7e799ab71ad8310d5de0782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffead0b0c68e8f023cf5ae0a7ba90936.png)
(1)当
时,求不等式
的解集;
(2)若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffead0b0c68e8f023cf5ae0a7ba90936.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fed8e87215b97c3b8bba07274159d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-06-12更新
|
225次组卷
|
3卷引用:陕西省部分学校(菁师联盟)2024届高三下学期5月份高考适应性考试理科数学试题
解题方法
6 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57bc685a3f10f57853e664e1ead29d27.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7e672b1ae40d5370d13ced5bd02a19.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bf0995f32a13d0a9e423f3e88ab271.png)
您最近一年使用:0次
2024高三下·全国·专题练习
解题方法
7 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若不等式
有解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8944834385332001a50dbf8449caa34a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8b28bb1fe0acb1f2d1643372e70426.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a2eac1da76768749f2834a12548eea.png)
您最近一年使用:0次
解题方法
8 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20767e6e377d470eba7c01152afca7b4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5f116369fcc5f618de6bf5e9d8a419.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb37cc0e32ed4f29a039edd48a79233f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2024-04-08更新
|
290次组卷
|
2卷引用:四川省百师联盟2024届高三冲刺卷(三)理科数学试题(全国卷)
解题方法
9 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)存在实数
,使得不等式
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb98e3fc069452efd33465f492b8be.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
(2)存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3baa5d6729049cababe281291d5454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
10 . 已知不等式
的解集为
.
(1)求实数
的取值范围;
(2)若
为负实数,且
的最大值为
,正实数
,
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668863402279f6ba5bc39a3f1c26196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb57d0d057d57fcdc3e47a7d3e59fdd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b11d5d6efe357f77376cdec02ac85d.png)
您最近一年使用:0次