名校
解题方法
1 . 已知
是定义在
上的奇函数,
,当
时,
,则下列结论正确的是( )
![](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/0d0ab106468d20a9240f9394e8c2cf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
A.![]() |
B.当![]() ![]() |
C.![]() ![]() |
D.若关于![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,
的定义域为
,若函数
是奇函数,函数
是偶函数,
,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/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95154d7de8d2bb279a151ab578cfbd83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe17821ea81c6fec60bd5273901bd50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e79070b45fe7c6e6485f164b8be18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa5e6f5567897dbac47f003be93fe63.png)
A.函数![]() ![]() |
B.函数![]() |
C.4是函数![]() |
D.![]() |
您最近一年使用:0次
名校
3 . 已知
为数列
的前
项和,数列
满足
,且
,
是定义在
上的奇函数,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300cf45e1fb95e1df5f17106b30f469.png)
____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2815b24f5a89be7ae53aed93182e8988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbc3575e96d9e3969411525624d7092.png)
![](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/b85562a6f6b3eeed84eed60281defe0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300cf45e1fb95e1df5f17106b30f469.png)
您最近一年使用:0次
名校
4 . 设函数
的定义域为
,且满足
,
,当
时,
,下列结论:
①
;
②当
时,
的取值范围为
;
③
为奇函数;
④方程
仅有6个不同实数解.
其中正确的个数是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acb74208dcbe73fd8cbd89bf86bd69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645d75ed821e2cae930b5433c27c5f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1356529b99240cf586a0ee624be73c99.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4770abbde4102605920fefe983535ae.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d44ac5cb478916f81ef2d42911258aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a50188f84f379b3d0418c54cbade7d7.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e57fd4660ebab6bd1dfb11329036e6.png)
④方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a73690a5521b20bb48807aff002933.png)
其中正确的个数是( ).
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
名校
解题方法
5 . 定义在R上的函数
满足
,且
,
①
的值域为
; ②
的最小正周期是4;
③当
时,
; ④方程
恰有4个实数解.
上述正确命题的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac67215b94c77be50360a64b16cceeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5448a19cf9cf7970ffb209d5e9ffa267.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2f360028740b06001ab1c3739c1fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350cbd2f5a3f5e72d5f0db5bd63964ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4bf4aa648b06d0a9f4782bcd0821d4c.png)
上述正确命题的序号是
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2024-06-08更新
|
165次组卷
|
2卷引用:天津市滨海新区大港油田实验中学2023-2024学年高二下学期第二次月考数学试卷
名校
解题方法
6 . 设函数
,
的定义域均为
,且函数
,
均为偶函数.若当
时,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18377150b1ced455e66c9054f7305379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbb39a17c9657d6d69175f108cc58b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd0a5004829e5ae20287292cbf30620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6959a4d33ea884bff11fd57ae61e730f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 已知函数
,
,则下列说法正确的有()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571bdbe6e09cf983787cb70c4b811d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
A.![]() |
B.![]() |
C.在区间![]() ![]() |
D.过![]() ![]() |
您最近一年使用:0次
8 . 已知函数
与
的定义域均为
,
,
,且
,
为偶函数,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f75751309bdbaff164069305dfe1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4548503c0183e0ae21943b5e93a49af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0f8954a3c445c0e6214ad5e2bac897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c36601834a9a0e473ff9b17cd66458.png)
A.函数![]() ![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知定义在
上的函数
可导,且
不恒为0,
为奇函数,
为偶函数,则下列说法正确的是__________ .(填序号)
①
的周期为4;②
的图象关于直线
对称;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](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/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570df03fef42aece12560212ba3a64e0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d31f9ce464f2ce3b24833b70595941c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4547fb0efd94f97e05a7445024e4248d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e45c6a3257fbcdad846c8ec9adab6a2.png)
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解题方法
10 . 已知定义域为
的函数
,满足
,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2505bf49deefcd20c06fc9059b64a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8718f486c48b09ffd904ddbf1dc7037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cc2d590d74ecaf47de3b501f355ff9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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