解题方法
1 . 已知函数
的定义域为
,
为奇函数,
为偶函数,且对任意的
,
,都有
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70bda325fa07d8bfc07b0772688258c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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2 . 定义在
上的函数
满足:对任意
都有
,且当
时,
恒成立.下列结论中可能成立的有______ .
①
为奇函数;
②对定义域内任意
,都有
;
③对
,都有
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c75a15990fdcf1de0a9ac9f475e3c92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2716abdad63441eba9523f2027ae546b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②对定义域内任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8678aef8427135188d0fdef8b141a5ae.png)
③对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74ea0780c90c9e4bd395135fb732d0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52582a02afc2ab82ea17cbe49b514e8.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fca480f437ccd7383269585193a5a7.png)
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解题方法
3 . 已知函数
的定义域为R,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86ec87e9730dbedf48cabae579c249f.png)
A.![]() |
B.![]() |
C.若![]() ![]() |
D.若当![]() ![]() ![]() ![]() |
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4 . 已知函数
的定义域为R,且
,若
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc2ae509aed37fd2e2c8faa640ab231.png)
A.![]() | B.![]() |
C.![]() | D.函数![]() |
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2024高三下·全国·专题练习
解题方法
5 . 已知定义在R上的函数
满足
,当
时,
.下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264cedddadc9cbb18c659494b5b3a963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c131638b31651780dfb887f6c56c861.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知
是定义在R上的偶函数,当
,且
时,
恒成立,
,则满足
的m的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d44984ab5340c6ca3feeeb4433620e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c28967904a688343761d856a8c29d55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bce4d2d47cec9d1abd96f12a2c6ab5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a176946b27d0208bc89d92cf1575a6bf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-06更新
|
764次组卷
|
4卷引用:第6题 函数性质图象联手,函数不等式对策多(优质好题一题多解)
(已下线)第6题 函数性质图象联手,函数不等式对策多(优质好题一题多解)(已下线)专题10 对数型函数恒成立辽宁省名校联盟2023-2024学年高二下学期3月联合考试数学试卷河北省保定市第一中学第八届1+3贯通班2023-2024学年高一下学期期中考试数学试卷
解题方法
7 . 已知函数
的定义域为
,对任意实数x,y满足
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3bc631391f3105e764ba92c7ddbe74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db7707d6b2754808adefc9b2fb976a6.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5957c2f77cef3509b864de98bf0af8.png)
.
(1)当
时,判断函数
的单调性,并证明
;
(2)若对
,不等式
恒成立,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5957c2f77cef3509b864de98bf0af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce271fca2cfe209bc311fbe3080bafc2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02939be8a65d7a4ce1a8620085c2d8ae.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818dcdda5f3961e803c76b0ac92c055e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c698cdb6982beeaa266ac9170cabd4.png)
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9 . 若对任意的
,且
,都有
成立,则m的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe386e855546736b74bebd45b8e5ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee92c8c563f125dc34b0c06c38548c1.png)
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10 . 已知函数
.
(1)判断
的奇偶性;
(2)若
,判断
在
的单调性,并证明(定义法、导数法均可);
(3)若
,
,判断函数
的零点个数,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf6edebbf204ca0e7462d7ece59fca1.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d013331d969749c306909529a88a49.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada9b792b1555668175c590447b02fb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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