11-12高一上·江苏·开学考试
1 . 已知二次函数
的图象如图,则下列结论中正确的是______ ;(填写正确的序号)
①
② 当
时,
随
的增大而增大
③
④
是方程
的一个根
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097ae8d30a20dd4aae75ae8945dbfb79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75807858b7804a1ad2039c41f323a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://img.xkw.com/dksih/QBM/2011/10/21/1570328830238720/1570328835268608/STEM/48c4c9176bf24e7db82b2424d523191a.png?resizew=155)
您最近一年使用:0次
2 . ①若函数
的定义域为
,则
一定是偶函数;
②已知
,
是函数
定义域内的两个值,且
,若
,则
是减函数;
③
的反函数的单调增区间是
;
④若函数
在区间
上存在零点,则必有
成立;
⑤函数
的定义域为
,若存在无数个
值,使得
,则函数为
上的奇函数.
上述命题正确的是__________ .(填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e00e7e519a033c40e7b2a0e0c2beac.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4075d4b42a2597bfce06ba34d5f948f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ff4a1f5d3ad9d7668fe555e70b774c.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340759edda395bb44f3f0cfbae258257.png)
⑤函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dc6d0827a159050e3fa55164f258b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
上述命题正确的是
您最近一年使用:0次
3 . 给出下列四种说法,说法正确的有___________ (请填写序号)
①函数
与函数
的定义域相同;
②函数
和
都是既奇又偶的函数;
③已知对任意的非零实数
都有
,则
=
;
④函数
在
和
上都是增函数,则函数
在
上一定是增函数.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90897d9da53d799ae8421b67bef5f370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937f9fc376e8cdf982110555a433bdb5.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990387f736ce73715cb41868664db7da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8a6617776eb998250d286636e9804d.png)
③已知对任意的非零实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a74f97e8f17996195ddf7aa528ac2d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e1a1611f320c0f358df77aaae3f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d1288c575c8cdce97930bc32c423b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14dfdef13e84f373bf4e90db872ff97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a873ff69b69b5ddc3f07c705f4c597.png)
您最近一年使用:0次
4 . 已知函数
,对于
上的任意
有如下条件:
①
;②
;③
,
其中能使
恒成立的条件是_________ (填写序号)
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500246609920/1572500252631040/STEM/23e8bc5428234b7baf0f2538285ffc83.png?resizew=125)
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500246609920/1572500252631040/STEM/a1fa884809954e86bd31d08bbef25d69.png?resizew=74)
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500246609920/1572500252631040/STEM/a72ef8306f78493fb7938011508a704a.png?resizew=37)
①
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500246609920/1572500252631040/STEM/92ff010e80c142b9b108ef2ec0020c62.png?resizew=49)
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500246609920/1572500252631040/STEM/7966cba4a9404588b777890c04ba2112.png?resizew=62)
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500246609920/1572500252631040/STEM/e5de8bf9ce8c4c20bf94edb998957574.png?resizew=59)
其中能使
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500246609920/1572500252631040/STEM/5d36e865008b429c88cef363f59d0a3b.png?resizew=96)
您最近一年使用:0次
5 . 下列函数中,既是偶函数又是区间
上的增函数的有____________ .(填写所有符合条件的序号)
①
;②y=|x|+1;③
;④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884e534313d810d5fc36b95f9fcaa08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88e33578c3844062c5da229f5f8b4f3.png)
您最近一年使用:0次
13-14高三·全国·课后作业
名校
6 . 已知集合A=[0,8],集合B=[0,4],则下列对应关系中,不能看作从A到B的映射的是________ .(填写序号)
①f:x→y=
x ②f:x→y=
x ③f:x→y=
x ④f:x→y=x
①f:x→y=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca8b26c3ad6d892590290a2304126bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
您最近一年使用:0次
解题方法
7 . 下列四个命题中正确的是____________ .(请填写出所有正确的序号)
①已知集合
,
,且
,则
;
②设
、
为两非空数集,定义集合
,若
,
,则
;
③若
,
,则
;
④设集合
,
,且满足
,则实数
的取值范围是
.
①已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265e81e52218232e16c78f57b3aa0de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23f5d7f08f61192a67115f41906ede2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb24eb64ef31a8be182d926a4a407cd8.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e09d2d842882b706814c0eb6e4aea21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dbcd1aab70dcec63c5f05d42e15684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e38fff7537fe014afc21111f9d916d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d8012d12777135136303fa6ef79f2d.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82fb899e1f53848e9f6734667a23dc6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c032cbf7293dc32b6b8aef56c9ecb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
④设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db82c7e8ffaf10e27bd6f30b98a6179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6747cd74a2f551983ef35c18f5e0fff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c601507f4ad01d09fdd9470dc83555c6.png)
您最近一年使用:0次
8 . 某班“数学兴趣小组”对函数
(
为常数)的图象和性质进行了探究,探究的部分过程如下,请补充完整.
(1)自变量
的取值范围是全体实数,
与
的几组对应值列表如下:
其中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
(2)根据上表数据,在如图所示的平面直角坐标系中描点,画出了函数图象的一部分,请画出该函数图象的另一部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/1dd1e20d-e234-4fff-8bb6-893042e3683e.png?resizew=187)
观察函数图象发现:函数的值域为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82667c9e916374d1a3b1aee44ef588f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)自变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)根据上表数据,在如图所示的平面直角坐标系中描点,画出了函数图象的一部分,请画出该函数图象的另一部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/1dd1e20d-e234-4fff-8bb6-893042e3683e.png?resizew=187)
观察函数图象发现:函数的值域为
您最近一年使用:0次
2024-02-28更新
|
50次组卷
|
2卷引用:北京市第十九中学2022-2023学年高一上学期(10月月考)期中练习(一)数学试题
解题方法
9 . 借助信息技术画出函数
和
(
为实数)的图象,当
时图象如图所示,则函数
的零点个数为______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/17/a9f86f48-417d-4cf5-9494-8137dd9ecd53.png?resizew=221)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2cf1660b0c31bc546487bf8a5a3dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5834bc824c20d5e00909713d9bfc5c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d7cef5eaeb008b84ab64e6ac1f57dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/17/a9f86f48-417d-4cf5-9494-8137dd9ecd53.png?resizew=221)
您最近一年使用:0次
解题方法
10 . 已知函数
是定义域为R的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/2021/1/24/2642995387596800/2644934963740672/STEM/d2663cd2414a4b76981367ff8b17ec8c.png?resizew=220)
(1)在坐标系中画出函数
在R上的完整图象;
(2)求函数
在R上的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c7bba069a33fd4d8d2ac6449148da9.png)
![](https://img.xkw.com/dksih/QBM/2021/1/24/2642995387596800/2644934963740672/STEM/d2663cd2414a4b76981367ff8b17ec8c.png?resizew=220)
(1)在坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次