已知函数
(
为常数),方程
有两个实根3和4,
(1)求
的解析式;
(2)设
,解关于x的不等式
;
(3)已知函数
是偶函数,且
在
上单调递增,若不等式
在任意
上恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12148245ba8e7b97f80e555b026296d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af24ecb3aaf51146217c69d372428b3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc329b32ecf0f0532d09a8a21343e8cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67db12e956dbd6fa9dceb0526b23f884.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b104d461b13756fc08d9f6894061dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b104d461b13756fc08d9f6894061dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc771997190c621aead6aa0287854e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a43871c01c749062b6353228577194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5dc0f58d947cccf0bdc518306674ced.png)
更新时间:2019-11-27 23:08:36
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【推荐1】已知不等式
.
(1)若
,解该不等式;
(2)讨论
下,该不等式的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8336499fd867e4fde81a778744d9a62d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
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【推荐2】已知函数
是定义在
上的奇函数,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54102a00ee964e74ef12ebbceab734b.png)
(1)求函数
的解析式,并指出函数
在
上的的单调性(不需要证明);
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54102a00ee964e74ef12ebbceab734b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7ea685ea908c2a246caa9aa46aa0e2.png)
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【推荐1】已知
,
,而非P是非q的必要条件,但不是充分条件,求实数m的取值范围.
![](https://img.xkw.com/dksih/QBM/2012/8/28/1570981590917120/1570981596282880/STEM/e19ab1b1bf504007b021029184869251.png)
![](https://img.xkw.com/dksih/QBM/2012/8/28/1570981590917120/1570981596282880/STEM/fa601dc3ccd24e9e8178fe27acfa9232.png)
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【推荐2】已知
,不等式
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.
(1)求
的解析式;
(2)不等式组
的正整数解仅有
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取值范围;
(3)若对于任意
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab93efd42a3054040ccff8adf697c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef43138b72a4bed78baa9f84f8d46867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a531df64ff93e8e4b42f3775ef6632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f71c86146c034a19e935dd337223c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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【推荐1】已知函数
的定义域为
,若对于任意的正数
都有
,则称
具有
性质.
(1)试判断函数
和
是否具有
性质,若具有
性质请证明;
(2)若函数
的定义域上是具有
性质的单调增函数,且
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9eca1510647f9b40cf7ce69c3757f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edac77829e7aec29f8980f577959098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bea6d14c16f7c06e4e028f36131360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ad83d265323cf71db50956e0eb39ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018d0b5d1970404a82d6dc0d5e1771c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6777ed85586d16f88241c238662ec32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67369931cfd32228e64bde6faa428b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33696a8695229ddf0a49b310eeb7a6c.png)
(1)若
,解不等式:
;
(2)若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33696a8695229ddf0a49b310eeb7a6c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e24b58e271841eb63bf3bb06005462a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94728db2b554c479560d66e8ba92467e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a17ed111d49b34fb2fb2f8f5e0f3977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐3】已知偶函数
.
(1)求实数m的值;
(2)经过研究可知,函数
在区间
上单调递减,求满足条件
的实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3665347a7544406cd1a5e111c051ef.png)
(1)求实数m的值;
(2)经过研究可知,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4beb42e96167bea9684180c5a20239.png)
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解题方法
【推荐1】已知函数
且
.
(1)判断
的奇偶性,并证明你的结论;
(2)当
时,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a15774c90fa113f4a8c7c5ab81ca269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bb28003d53334358dddcbb449ba0b9.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8414e4e637f6cb77a8351e4720925a3.png)
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解答题-证明题
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解题方法
【推荐2】已知函数
是定义在
上的函数,
恒成立,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316fa243f255366ab9d743a5b9097c0a.png)
(1)确定函数
的解析式并判断
在
上的单调性(不必证明);
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8d98ee11235b9ff6c47a5ab20b99c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1db6c94b94afc372212a81cc1f4dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316fa243f255366ab9d743a5b9097c0a.png)
(1)确定函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2a0f02510cbf59115751ba5a6e60d7.png)
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【推荐3】已知定义域为
的函数
是奇函数.
(1)求
的值,判断并用定义法证明
在
上的单调性;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36889828c9b12f6d81f1caa3276b374e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee524b1af16fabc8a04022b88c6acf9.png)
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