设函数
,
.
(1)当
时,
,求
的取值范围;
(2)当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e786b7b85ef6302de4e5d4505759fbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6076f2c305797168a666280436eb6e8f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a18be85a0cd3aff37be9ba7f1bdea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3089af5f7ca5a33d44d6fac4b6ebf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dee37c4a9b6c030f06bcfdb6b9e3cb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2022-11-17 15:12:49
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】已知命题
实数
满足
;命题
实数
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9472f8d1d03ad10940d8f424e16dd6ee.png)
(1)当
时,若
与
都是真命题,求实数
的取值范围;
(2)若
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c2c92746cafd426478b7e07d3aaced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9472f8d1d03ad10940d8f424e16dd6ee.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.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/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-问答题
|
适中
(0.65)
解题方法
【推荐2】已知全集
,集合
,
.
(1)求
;
(2)设集合
,若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188791535098a44dcdea38cd18d79ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51d7a3e667adea34e70ef0ff32968be.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa0b103a1370b4baf7ca916eeebf9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1561cc8d4b5688f114b7563fb51a272.png)
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解答题-问答题
|
适中
(0.65)
【推荐3】已知集合
,
.
(1)若
,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d70e565e392b0a3a885d4b6a1fdc41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcac0f25827081fdc736c3607838030.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
【推荐1】已知函数
的图象两相邻对称轴之间的距离为2.
(1)求函数
的解析式;
(2)将函数
的图象上所有点的横坐标伸长为原来的2倍(纵坐标不变)得到函数
的图象,若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab04841209f4f963d75f264d92fb67.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a2eb92f108921f98c47f965a4931f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e839ef5cf2d3d41a65539a7fa927030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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(0.65)
名校
解题方法
【推荐2】定义在
上的函数
满足:对任意
都有
成立,且
时,
.
(1)判断函数
的奇偶性,并证明;
(2)若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667a9061d47a7dbf918b1599ff519d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be46ecb89ed8119ae032c5e44c6ca3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35286cf21dcc82e3e0d3fafcb6d18824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015450c9cbe094d5b2c12f2255e38c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee34526f4dda21ab8d4b518ff512ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
【推荐3】已知函数
.
(1)判断函数
奇偶性,并证明你的结论;
(2)判断函数
在
上的单调性,并证明你的结论;
(3)若在区间
上不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6274a35c06ab2fce01792ba30781ddf.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
(3)若在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1c92c42188e3b2cb800d1186eab12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf7a0098d4ea8a0ad76dab74698fcb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】已知函数
的定义域是
,对定义域的任意
都有
,且当
时,
,
;
(1)求证:
;
(2)试判断
在
的单调性并用定义证明你的结论;
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938308ceead1a6a87920b457f4646f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309c99d0acad93706ab168d1f9c584bb.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c23eb89094be66dc8b8711e5fdb58a4.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0a60c52390a20157e60f33c93f75bc.png)
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解答题-问答题
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适中
(0.65)
解题方法
【推荐2】已知函数
的定义域为R,且对任意的实数x,y,满足
.
(1)证明:
;
(2)著名数学家柯西在十九世纪上半叶研究过上述函数
的性质,且证明了当该函数
的图象在R上连续不断时,
.若函数
的图象在R上连续不断,对任意x,
,
,
.设
.
①证明:
;
②已知
,求
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5705f047ce56893efe5251e4a126f190.png)
(2)著名数学家柯西在十九世纪上半叶研究过上述函数
![](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/20a6d9e2cd59b253d496b02ccb7fe606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe59e283bbd62a835d378e780439e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bc9684f833528a67607580bfbc277d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b427ec2ef2325196e9656e9bc76c0a0a.png)
①证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6776eaffa25e6edb4c251949e321d65f.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb83ad27846200a8ac81ff4cf7fd510.png)
您最近一年使用:0次