名校
解题方法
1 . 已知函数
的定义域为R,其图像关于原点对称,且当
时,
.
![](https://img.xkw.com/dksih/QBM/2022/1/20/2898689891188736/2909199447465984/STEM/93976392-0425-4cb0-bb29-fab616dba1bd.png?resizew=208)
(1)请补全函数
的图像,并由图像写出函数
在R上的单调递减区间;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757f48efd9a569a73e212fa8ac37ae9a.png)
![](https://img.xkw.com/dksih/QBM/2022/1/20/2898689891188736/2909199447465984/STEM/93976392-0425-4cb0-bb29-fab616dba1bd.png?resizew=208)
(1)请补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3467549dafcd3483b022d9ba5535a94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab312756060437cb8ac9e784ff07177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02bca9c45069896c2ac4cbbbe8c39fb.png)
您最近一年使用:0次
2022-02-04更新
|
244次组卷
|
3卷引用:云南省玉溪第一中学2022-2023学年高一下学期2月月考数学试题
名校
2 . 在整数集Z中,被5除所得余数为k的所有整数组成一个“类”,记为
,即
,
.给出如下四个结论:
①
;
②
;
③
;
④整数a,b属于同一“类”的充要条件是“
”.
其中正确结论有____________ (填写正确结论标号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef3ae0a4507f1f66d5bf885a6b90d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab0cb11408747d29e4390131e8371f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63702e21678ae8a609cfa1faeef69fa6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992df7e0fb9f11450c44923ad41ab920.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2a818d5f8da20f51bde5f368de6f5e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7564a88c692fa7ebe56747ae86824bfe.png)
④整数a,b属于同一“类”的充要条件是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fdc4deaa59b7ac4cc8bd4eaa8eecf4.png)
其中正确结论有
您最近一年使用:0次
2020-10-24更新
|
320次组卷
|
3卷引用:云南省楚雄市天人中学2021-2022学年高一10月月考数学试题
名校
解题方法
3 . 已知函数
.
(1)画出函数
的图象;
(2)求
的值;
(3)写出函数
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84807489f88dad1986738fa71af587a4.png)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff094612c8812791ea83d22fc98e44a.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
7日内更新
|
220次组卷
|
2卷引用:云南曲靖市马龙区第一中学2023-2024学年高一上学期11月月考数学试卷
解题方法
4 . 若点
在幂函数
的图像上,二次函数
的最小值为1且满足
.
(1)求
和
的解析式:
(2)定义
,画出函数
的图像,并根据图像求其定义域、值域和单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7362fa526a84b0ce2f5a2021dbc44399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fcec204ec2c0fe43ece6c30c3ef2342.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2592bc134b26809d90ab94d90d0d21a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
您最近一年使用:0次
2023高一·江苏·专题练习
解题方法
5 . 已知函数
是定义在
上的偶函数,且当
时,
.
(1)如图已画出函数
在
轴左侧的图象,请补充完整函数
的图象,并根据图象写出函数
的增区间;
(2)写出函数
的解析式和值域;
(3)若函数
在
上的值域是
,求
的取值范围.
![](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/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
(1)如图已画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/18/aeffcf38-7f0d-4f4f-979c-c9f0ee5bc391.png?resizew=180)
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e23b42cdffe75e705cf0b24763e862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a92ba8b43bebdf7d6c40917f4d3e110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
您最近一年使用:0次
解题方法
6 . 已知定义在R上的奇函数
,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/a17a9948-6bf6-4aa1-b935-475ffba8ce10.png?resizew=156)
(1)在给出的坐标系中画出
的图象(网格小正方形的边长为1);
(2)求函数
在R上的解析式,并写出函数
的值域及单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15308be822e4af7bc4054e7aa4c50e80.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/a17a9948-6bf6-4aa1-b935-475ffba8ce10.png?resizew=156)
(1)在给出的坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
7 . 绿水青山就是金山银山,“两山”的转换不仅发生在青山绿水之间,在生产生活中更应该注重对环境的保护.为了减少工厂废气排放的影响,工厂可以采用一些技术来减少废气排放,也可以改变生产工艺来减少废气排放,某工厂产生的废气经过滤,后排放、过滤过程中废气的污染物含量P(单位:
)与时间t(单位.h)间的关系为
,其中
,k是正的常数.如果在前5h消除了
的污染物,那么
(1)10h后还剩百分之几的污染物?
(2)污染物减少
需要花多少时间(精确到
)?
(3)画出P关于t变化的函数图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612a5092dddf115a949ec5bc3f43be95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a56bb4f2defabb80f1861b75a4607a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f733b1ceeead9ff892539d46a23f3626.png)
(1)10h后还剩百分之几的污染物?
(2)污染物减少
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1065ae0947705c7d16a5a86c78f07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1bcea9b18d34208b0010e457ba2d4a.png)
(3)画出P关于t变化的函数图象.
您最近一年使用:0次
2024-01-26更新
|
181次组卷
|
2卷引用:云南省迪庆州2023-2024学年高一上学期期末考试数学试题
8 . 给定函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/c4d953f5-4ffb-433d-aba9-f43f0b3fd2a8.png?resizew=422)
(1)在图①中画出函数
的大致图象;
(2)
,用
表示
中的较小者,记为
,求出
的解析式,并将
的图象画在图②中;
(3)直接写出函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e6ca43fd13db170bf855cc8dfb2caa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/c4d953f5-4ffb-433d-aba9-f43f0b3fd2a8.png?resizew=422)
(1)在图①中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976d91358362fa49d6da8021fd47e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b329728a2ed137520e75fd0455c2f30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
(3)直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
您最近一年使用:0次
解题方法
9 . 已知
是
上的奇函数,且当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/52d38c14-7d26-48c7-9e2d-4ff5e11c23b6.png?resizew=189)
(1)求
;
(2)求
的解析式;
(3)画出
的图象,并指出
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f26ccb55fcd29bbbacb32598b852910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/52d38c14-7d26-48c7-9e2d-4ff5e11c23b6.png?resizew=189)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a57e7e65245a4d173c5d0bc3c34e45.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
名校
10 . 已知函数
且点
在函数
的图像上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/b8a692b8-1a84-403a-af52-73b8fde7b459.png?resizew=281)
(1)求
,并在如图直角坐标系中画出函数
的图像;
(2)求不等式
的解集;
(3)若方程
有两个不相等的实数根,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4052c160f3a7a5f474bab6f6a809af0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80991c1f0c963104740e50cfff6f29a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/b8a692b8-1a84-403a-af52-73b8fde7b459.png?resizew=281)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b61adc4745f283e4072ddd762f92ffe.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31bc0c34811edba74dae3fcaed8f577.png)
您最近一年使用:0次
2022-12-05更新
|
664次组卷
|
6卷引用:云南省临沧市临翔区第一中学2022-2023学年高一下学期5月月考数学试题