名校
1 . 已知函数
,用
表示
的最小值,记为
,那么
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e98143dfebcb5ec295d0f22cf06c5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cb2dd023553e6609c47202fe30c479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
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2024-03-06更新
|
123次组卷
|
2卷引用:北京市平谷区2023-2024学年高一上学期期末教学质量检测数学试题
名校
解题方法
2 .
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8f8221453ed7c8c5aca9d6e09de612.png)
A.空集 | B.元素个数不超过10的非空集 |
C.元素个数超过10的有限集 | D.无限集 |
您最近一年使用:0次
解题方法
3 . 已知函数
如图所示.
(1)求
的解析式;
(2)求
的最大值:
(3)将
的图象向右平移2个单位长度后得到函数
的图象,直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/043acf15-5fbf-4dcc-a1e3-c246f146baed.png?resizew=123)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)将
![](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/843bdbecf4954d8015ed7d60bac0093e.png)
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4 . 设函数
(
且
).给出下列四个结论:
①当
时,方程
有唯一解;
②当
时,方程
有三个解;
③对任意实数a(
且
),
的值域为
;
④存在实数a,使得
在区间
上单调递增;
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf1a29518ba7fb41a351ae69ce43c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e436ea3ddcd13e69171135f0ff8e934a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
③对任意实数a(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
④存在实数a,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
5 . 如图,函数
的图象为折线
,函数
是定义域为R的奇函数,满足
,且当
时,
,给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/f5a2c28c-0b50-4cd2-b91a-44675e5da6ab.png?resizew=164)
①
;②函数
在
内有且仅有3个零点;③
;④不等式
的解集
.其中正确结论的序号是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf468f5132e14ee1d8cc766808b11af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab28aaed1369b8246303597eb5bc183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123bf3451e1cd6900508c4e3560a81f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea730e263c7b433f932b921bf7de679.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/f5a2c28c-0b50-4cd2-b91a-44675e5da6ab.png?resizew=164)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46e5402e7bdf58b11e9610ba48a8c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ba9bba605f7917cf70a8240a6431d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6fb75296a4ee8461c4793383c2cb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d26ff362d6ad9d6861fc8798fab6876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecf707e3aa4a69db3b1a05a4dc30e20.png)
您最近一年使用:0次
2024-02-11更新
|
194次组卷
|
2卷引用:北京市顺义区2023-2024学年高一上学期期末质量监测数学试卷
名校
解题方法
6 . 在同一个坐标系中,函数
的部分图象可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3914f46aa2f8e9b859928ff6ae1e8020.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-02-10更新
|
538次组卷
|
3卷引用:北京市海淀区2023-2024学年高一上学期期末考试数学试题
7 . 已知函数
,若方程
有两个不相等的实数根,则实数k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b31d456409e73575cd4cfbd5b80d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6400df594a5d53a8b9f78cf630032462.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知函数
,
为偶函数,且当
时,
,记函数
,给出下列四个结论:
①当
时,
在区间
上单调递增;
②当
时,
是偶函数;
③当
时,
有3个零点;
④当
时,对任意
,都有
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda5ab0495110870938c761638ae6ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed62208af6047cd1374c6db9d21e8c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a3bc841b0c96fada3e4f8ca5f1396f.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c787b3ae93138bac7485c406d29f94b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5069fb2cd95b9595065b4294e308322.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd2215e5cdeb3f6b0b7929a4a05ba65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c787b3ae93138bac7485c406d29f94b1.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c787b3ae93138bac7485c406d29f94b1.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6163bf8b74410bfb93919ec5130795ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078f88a148727f0bba99fde30d056d03.png)
其中所有正确结论的序号是
您最近一年使用:0次
9 . 已知函数
是定义在R上的奇函数.
(1)求实数a的值:
(2)判断函数
在区间
上的单调性,并用定义证明;
(3)若
有两个零点,请写出k的范围(直接写出结论即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102d64844ddcb9b7e3d0960477ea8d25.png)
(1)求实数a的值:
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda591d3909af06eabf6b37c65bfe571.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b26aea4ce992ee86939c3fc7be97ee7.png)
您最近一年使用:0次
2024-02-05更新
|
387次组卷
|
2卷引用:北京市顺义区2023-2024学年高一上学期期末质量监测数学试卷
10 . 为了得到函数
的图象,只需把函数
的图象上所有的点( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf94d025b74f770adb031f245437aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f0fadbe551b0e0eb7bf9440be740b9.png)
A.向左平移2个单位长度 | B.向右平移2个单位长度 |
C.向上平移2个单位长度 | D.向下平移2个单位长度 |
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