名校
解题方法
1 . 已知
、
、
,关于
不等式
的解集为
.
(1)若方程
一根小于
,另一根大于
,求
的取值范围;
(2)在(1)条件在证明以下三个方程:
,
,
中至少有一个方程有实数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686b332872c51b433befe65fbe773380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e43663ff446a6aea07569cc2146cb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e88ebfb5c0d6cce558b515be06404d.png)
(1)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)在(1)条件在证明以下三个方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b265fae9fe9a59830c91ba9a0ec762c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589dc3fa67706f47d229e0778d901793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bab67a391ba2678e91073f442b26425.png)
您最近一年使用:0次
2020·北京·二模
解题方法
2 . 已知函数
.
(1)若
的解集非空,求实数
的取值范围;
(2)若正数
、
满足
,
为(1)中
可取到的最大值,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe589eca001b0816009c7e1d083a2c7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aaee11552fe4c0863c104364d923359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b6768f57d615696d5e44736edcf1c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580e71f257bca2d1c4ad237d9db9c46a.png)
您最近一年使用:0次
3 . (1)已知
,关于
的不等式:
的解集为
.求实数
的取值范围;
(2)若
的最小值为
,又
、
、
是正实数,且满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4950cc100c4f08bec9fc33ce6ddedac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa8af5a68baed8ef3629cb6f1c4abc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b1d0c1408fbad0e5d11da4fccfac27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212140033930742c4056e0513695f786.png)
您最近一年使用:0次
2016-12-04更新
|
213次组卷
|
2卷引用:2016届陕西省西北工大附中高三第四次适应性考试理科数学试卷
4 . 已知函数
.
(1)若不等式
的解集为空集,求实数
的取值范围;
(2)若
且
,判断
与
的大小,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3c0b15c0e9ad0e9348189cb160ab8f.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f33ba80eb69ecd8db970164ac7412f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d07fc9d3ca819de6d87d54d9ee0911e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7261334c5ce660d5236f1a837d485df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36576fd651dd88f5fd39a14848a0e9eb.png)
您最近一年使用:0次
5 . 选修4-5:不等式选讲
已知函数
.
(1)若不等式
的解集为空集,求实数
的取值范围;
(2)若
且
,求证:
.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be2923fdcc82a4adf8ae51534506ff1.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d570f5fabfb0538f2bef070c8b97bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4436fbc2f8e9ec18c3d1180d9c056eb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea94f45eb564de3c17de05b6747c079b.png)
您最近一年使用:0次
6 . 不等式选讲
已知函数
.
(1)若不等式
的解集为空集,求实数
的取值范围;
(2)若
,
,且
,判断
与
的大小,并说明理由.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404441c70a9646cdfca5abd062ae7aa4.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9109d2dd96264b9db4d4c92d86481acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3b6334fa03e9c102a5d88b7870b3fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126e33a63a60a0823bb75d8651d2eb91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de648cd39338d48f2d22eb82a77b4839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cd178e6ed431cc6ff183aeca302778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36576fd651dd88f5fd39a14848a0e9eb.png)
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7 . (1)已知命题
“不等式
的解集为
”,命题
“
是减函数”.若“
或
”为真命题,同时“
且
”为假命题,求实数
的取值范围;
(2)若
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2437d10ec86fcd0ecc740e0d9782cf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40ce54672ff8636f8fca2e66e9a93b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146591f67ed5182cf85fbb2b5c6d8bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748ce4ec667f6419f574e48fbd420c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cb04df415ea672413632307d25649a.png)
您最近一年使用:0次