名校
解题方法
1 . 已知函数
(
不恒为零),其中
为
的导函数,对于任意的
,满足
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4a94febde71b5356cad841ce643050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a3f401ac96b0b3df47f6df568bc483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d809ef17bdbddcf14a7d220a5cd568.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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名校
解题方法
2 . 把满足任意
总有
的函数称为和弦型函数.
(1)已知
为和弦型函数且
,求
的值;
(2)在(1)的条件下,定义数列:
,求
的值;
(3)若
为和弦型函数且对任意非零实数
,总有
.设有理数
满足
,判断
与
的大小关系,并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4e857897b5a9f64308cf5906b9fa13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc2d1d213b8c962e739d7a70d329e36.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79517322d3a40f2bd83c1f4857eb5d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732de73b498406d00195863a58dd3a24.png)
(2)在(1)的条件下,定义数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8754b211788bae54574c7015e84d3ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad22914993941de58212102ebd2eeae.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89379f1012f030cb02e37ba27315842f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e17d40cc0988f2a71b96819cdeee72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d65ffdad008a79f32dc1f7511a82a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12c44a3c63a15882674e37dcdc31399.png)
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3 . 函数
的定义域为R,对于任意实数x,y,都有
,则
的值不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bde53de43dda74249725823c0e6610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
A.-2 | B.![]() | C.1 | D.2 |
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解题方法
4 . 已知定义在
上的函数
满足
,且
是奇函数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c9a983d1b1c33cfa64aada076c20d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92146c133ba2bdbda499f5af2bdda022.png)
A.![]() ![]() |
B.![]() |
C.![]() |
D.若![]() ![]() |
您最近一年使用:0次
名校
5 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33685efcbf2049830746da7bc73f41b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4138e3a956d50c217cdd4799ff1edd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知奇函数
的定义域为
,且当
时,
;当
时,
,则
( )
![](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/8c21c6260bcade05f3a432841f449b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb918f4ba35a7fdb67f3bc67c4479954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad05719025457903d1b5d5c7b99f97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b880a04dc790edd18f1fe61caa655fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ab3758bad0afe036d56ecaff90bcb0.png)
A.7 | B.9 | C.-7 | D.-9 |
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名校
7 . 已知函数
满足
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c5c3f7f8c66c5deab16118ecb962e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8147893347620a7099b55a0cda797b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
A.![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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解题方法
8 . 定义在
上的函数
满足
,当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01eab0a9b332827879756acda10e20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fdf5836c5d07c3ab97b7334953799c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901967e20063f8fe6745aa2764fde97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a580cb582c782207eea3e1387cc627.png)
A.![]() | B.1 | C.3 | D.9 |
您最近一年使用:0次
名校
解题方法
9 . 若函数
对任意
都有
,且当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec31c2a7be7d8ba2500e0b370f22acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132d41feaf28a5d96470d23780262b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423711b8eaa26ff92f0e7d8a8ff07f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e23be533429387772591dc5124455e8.png)
A.![]() | B.8 | C.![]() | D.12 |
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名校
解题方法
10 . 已知定义在R上的函数
,满足对任意的实数x,y,均有
,且当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6f5d45adf0314f93a495f037109bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b61adc4745f283e4072ddd762f92ffe.png)
A.![]() | B.![]() |
C.函数![]() | D.函数![]() ![]() |
您最近一年使用:0次
2024-03-14更新
|
841次组卷
|
2卷引用:安徽省安庆市2024届高三模拟考试(二模)数学试题