已知函数
的定义域为不等式
的解集,且
在定义域内单调递减,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5438f1e30248c357fd0f6419d791b5f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9cf9c4da256c0a4c66a8c252f469605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2016-12-03 05:49:34
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解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】已知函数
的定义域为集合
,集合
.
(1)求集合
与
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a366c21a3dc3c42bff688faaa3649c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdb9b2eee3443909a9d7651f2c240b1.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3516cead1976248defbf1ffe368170.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】求下列函数的定义域:
(1)f(x)=
;
(2)y=
-lgcosx;
(3)y=lg(x-1)+lg
+
.
(1)f(x)=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87362dbaa2694817c00b7a503568e505.png)
(2)y=
![](https://img.xkw.com/dksih/QBM/2018/8/1/2030699054047232/2037700113096704/STEM/128c0474165b4c73a57e1120d006c910.png?resizew=50)
(3)y=lg(x-1)+lg
![](https://img.xkw.com/dksih/QBM/2018/8/1/2030699054047232/2037700113096704/STEM/826516f178624d0da863a164bdfe1df0.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2018/8/1/2030699054047232/2037700113096704/STEM/c6b9bb767b604130b8e35fb7d1236c0e.png?resizew=39)
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【推荐1】已知函数f(x)=
-
,若x∈R,f(x)满足f(-x)=-f(x).
(1)求实数a的值;
(2)判断函数f(x)(x∈R)的单调性,并说明理由;
(3)若对任意的t∈R,不等式f(t2-4t)+f(-k)<0恒成立,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c87aff9436b51b9ab3169daddb6675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000ea2ccb1b22469415edc3309374263.png)
(1)求实数a的值;
(2)判断函数f(x)(x∈R)的单调性,并说明理由;
(3)若对任意的t∈R,不等式f(t2-4t)+f(-k)<0恒成立,求k的取值范围.
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解题方法
【推荐2】已知函数
(
且
).
(1)若函数
在区间
上单调递增,求
的取值范围;
(2)若
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c46cde2ec1ce6b93bff8dc05c983dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578fc38350175d35ded02fce9846c174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5c2fde11e418175e862caccf48d956.png)
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名校
解题方法
【推荐1】命题p:实数a满足:
的定义域为R;命题q:函数
在
上单调递减;如果命题
为真命题,
为假命题,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510f3e4dcd98b31c7b1fa6540ab2ec6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb681f382d301a47e7cc5fceb016b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1373a3ac43decd796210c95fd8cc59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d426f0f57b67c00ab87e81c9d1d5ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094543346d88c4ed45c1b1fb91f5265b.png)
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解题方法
【推荐2】设函数
的定义域为集合
,函数
的定义域为集合
.
(1)若
,求实数
的取值范围;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c066646836328816472c38776312529a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef48bd57af604b1f4434421cd9fe17f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解答题
|
适中
(0.65)
解题方法
【推荐1】已知函数
(
)
(1)当
时,求不等式
的解集;
(2)设
,若函数
在区间
上为增函数,且
的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa5f5ffd557ab05bea27ffe3ff6d0a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0afda9d5d472763a46393a3d8e8b630.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a590e905e21e0392c4ea31e63e2430e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8737d9ead870c936e091c56cd0105d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐2】已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d9150ed14b64c9ef45cacfa3f22d20.png)
(1)解上述不等式;
(2)在(1)的条件下,求函数
的最大值和最小值及对应的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d9150ed14b64c9ef45cacfa3f22d20.png)
(1)解上述不等式;
(2)在(1)的条件下,求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec6a61bcd91ae29e3faac0d17c1aa91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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