名校
解题方法
1 . 已知函数
是定义在R上的偶函数,且当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/79e1159d-ec8d-4ea2-9223-ec75fa72510d.png?resizew=292)
(1)现已画出函数
在
轴左侧的图象,如图所示,请补全函数
的图象,并根据图象写出函数
的递增区间和递减区间;
(2)求函数
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/79e1159d-ec8d-4ea2-9223-ec75fa72510d.png?resizew=292)
(1)现已画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803b2de32177f5ebb64b38115356f388.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803b2de32177f5ebb64b38115356f388.png)
您最近一年使用:0次
2021-11-15更新
|
176次组卷
|
10卷引用:安徽省安庆市岳西县汤池中学2022-2023学年高一上学期12月月考数学试题
安徽省安庆市岳西县汤池中学2022-2023学年高一上学期12月月考数学试题【区级联考】北京市通州区2019届高三上学期期中考试数学(理)试题(已下线)专题2.10 第二章 函数(单元测试) -《2020年高考一轮复习讲练测》(浙江版)(测)西藏自治区拉萨市西藏拉萨北京实验中学2019-2020学年高一上学期期中数学试题辽宁省大连市2019-2020学年高一上学期期中数学试题广东省深圳市外国语学校2017-2018学年高一上学期期中数学试题山东省济南市历城第二中学2017-2018学年高一上学期第一次调研考试数学试题2020届北京市海淀区首都师范大学附属中学高三开学考试数学试题广东省清远市凤霞中学2020-2021学年高一上学期期中数学试题广东省汕头市澄海中学2021-2022学年高一上学期期中数学试题
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef38a1ac93881cbc4a8ea9e029e8089.png)
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646622558208000/2647442240323584/STEM/407200b8-d0ab-4c21-919c-84f72c032618.png)
(1)作出函数
的图象(直接作图,不需写出作图过程);
(2)讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef38a1ac93881cbc4a8ea9e029e8089.png)
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646622558208000/2647442240323584/STEM/407200b8-d0ab-4c21-919c-84f72c032618.png)
(1)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57f500d4c617abff970fdca707ebb51.png)
您最近一年使用:0次
2021-01-30更新
|
366次组卷
|
3卷引用:安徽省宿州市十三所省重点中学2020-2021学年高一上学期期末数学试题
解题方法
3 . 定义在R上的奇函数
在
上的图象如图所示.
(1)请在坐标系中补全函数
的图象;
(2)结合图象求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/8f449722-8510-4bb6-85c8-b1983a64d549.png?resizew=236)
(1)请在坐标系中补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)结合图象求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72d20f1bf6d42731872b4554cf81a03.png)
您最近一年使用:0次
2023-11-11更新
|
346次组卷
|
3卷引用:安徽省芜湖市华星学校2023-2024学年高一上学期期中数学试题
名校
解题方法
4 . 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:安徽省宣城市2021-2022学年高一上学期期末数学试题
名校
解题方法
5 . 下列函数中,既是偶函数,又在
上单调递减的是___________ .(填写正确结论的序号)
①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f2d2eb3a46f9d6658e3a4360f73dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1c7565a2508c2a3bb2c85921175265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dbca1af9f0fe13afc4aa13ab62c0c6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572f286fb45b2757af63569ae0bc2e99.png)
您最近一年使用:0次
名校
6 . 若函数
在定义域
内满足:对任意的
,
,
且
,有
,则称函数
为“类单调递增函数”.下列函数是“类单调递增函数”的有填写所有满足题意的函数序号).__________ .
①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](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/59ed8a3eb8fc3fa0d2e6ff6b4f50e873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89edc5d98eb1743b3ae10e1128af258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de9d443a9fcc1fa6d79ba46c90a5a1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b780670b99e950a0f529dc58190648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9a16664ad088899f6437b9637b80b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ab2ab03be596b8b6ad32cf52f82169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376f99f4ea973cddfc5e759455aefe34.png)
您最近一年使用:0次
2020-10-25更新
|
271次组卷
|
6卷引用:安徽省阜阳市太和第一中学2020-2021学年高三上学期二模数学(理)试题
名校
解题方法
7 . 设S,T是R的两个非空子集,如果存在一个从S到T的函数
满足:
(ⅰ)
:
(ⅱ)对任意
,
,当
时,恒有
,那么称这两个集合“保序同构”,以下集合对是“保序同构”的是______ .(填写序号)
①
,
②
,
③
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c529dd7d9204423d371fbcd9cc6d20d.png)
④
,
或
⑤
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
(ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bece0083e76facc89aafd8f33a450d66.png)
(ⅱ)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f50f015b446e146c4178da1ec7b5c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af409949b4e2748ca5b790c77b1173c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb91b5ec7b6eaccccedabaf2613d2e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be4d65dfa8d8e103e3811ca274477b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ce85c417ddae5fb34256dc1fb81f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fab05cc42f2f432d6e3fcbf13632b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843c3f388a75bf981c11ca947a86e5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c529dd7d9204423d371fbcd9cc6d20d.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098b0d055aff3c487ec52359efd89bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f69d88d56b0f4e70f14b3b80b81f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217a0d0d6cefd696716a1e0196ddb43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a32c0dcfa5e912fb8f9cfeefc2be26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e84710fa14977c09a2f851b83bcb3e.png)
您最近一年使用:0次
8 . 已知函数
若方程
有且只有五个根,分别为
,
,
,
,
(设
),则下列命题正确的是_____________ (填写所有正确命题的序号).
①
;②存在k使得
,
,
,
,
成等差数列;
③当
时,
;④当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a696b23bf6556ef55eeeff5379080ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dc6d0827a159050e3fa55164f258b7.png)
![](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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4acd5e05f89802149b8b810c24d6ac73.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b59d678b4c4aa0ec2bb04be1b2739a5.png)
![](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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/779bc714193033c738599c30487bd42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c12f6211f669ab04f4fe1c1b279ac2e.png)
您最近一年使用:0次
名校
9 . 若存在实常数k和b,使得函数
对其公共定义域上的任意实数x都满足:
恒成立,则称此直线
的“隔离直线”,已知函数
(e为自然对数的底数),有下列命题:
①
内单调递增;
②
之间存在“隔离直线”,且b的最小值为
;
③
之间存在“隔离直线”,且k的取值范围是
;
④
之间存在唯一的“隔离直线”
.
其中真命题的序号为__________ .(请填写正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef655f5ecd8e5f7798c6e6747ba999b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c34f5d4207fbf261bdbcf0926155230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c17624c234559f04f5d94b7077f169a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55adeff09c4d3d878785239f0bf2e27a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc247e5237219a6169648a3d20483c9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b814095580525ddc8176650af6b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b814095580525ddc8176650af6b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c768cd9231a15caad0839f05d0f9207c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8945c5bbc31c6617924d2c8aa29a091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17432e76b39908abe390d80f3c97f476.png)
其中真命题的序号为
您最近一年使用:0次
2018-09-02更新
|
1122次组卷
|
5卷引用:安徽省马鞍山市第二中学2018-2019学年高三上学期期中理科数学试题
名校
解题方法
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb07ef16a59c3fca5b82ec18b38f75a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/24/6e78baf3-b1e2-45d8-a73e-b1270132247e.png?resizew=185)
(1)求
,
的值;
(2)在给定的坐标系中,画出
的图象
无需列表![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440a091777c1e606220ad30862b8664b.png)
(3)根据(2)中的图象,写出
的单调区间和值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb07ef16a59c3fca5b82ec18b38f75a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/24/6e78baf3-b1e2-45d8-a73e-b1270132247e.png?resizew=185)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2518f6b97e516aa2bd548234370fc5.png)
(2)在给定的坐标系中,画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440a091777c1e606220ad30862b8664b.png)
(3)根据(2)中的图象,写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-11-23更新
|
170次组卷
|
3卷引用:安徽省滁州市2023-2024学年高一上学期期中联考数学试题