名校
解题方法
1 . 数学上的符号函数可以返回一个整型变量,用来指出参数的正负号,一般用
来表示,其解析式为
.已知函数
,给出下列结论:
①函数
的最小正周期为
;
②函数
的单调递增区间为
;
③函数
的对称中心为
;
④在
上函数
的零点个数为4.
其中正确结论的序号是____________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/165d88ea5812bd14de49f5e3436eefad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a3bd54753e4c1a5fc06b414cc44ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d436e42ddbacbbd0af82f0e4750e54.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d56bab4fdb876bd72d5c9c7a734375.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5760e7c1da0c80f6b8912406b6b75c.png)
④在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb66add53686f989fbbb057652cb6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3077b0cfb8a47439afc656af6cc889ad.png)
其中正确结论的序号是
您最近一年使用:0次
解题方法
2 . 设函数
给出下列四个结论:
①当
时,函数
在
上单调递减;
②若函数
有且仅有两个零点,则
;
③当
时,若存在实数
,使得
,则
的取值范围为
;
④已知点
,函数
的图象上存在两点
,
关于坐标原点
的对称点也在函数
的图象上.若
,则
.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c437a9cdcfffee24733cd801b35ff78c.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba934874cc9f2ab272fdff67ea23bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13880b9454c5942f164d934b1834783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
④已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d85b7336be0bb73ee4a9e70e8b81c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efaf6b11e250d60433fa93fff030cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357e0872d9e98d662a780e7686de86ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c383ed4a2da9ff11a6b284b882b6cae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
3 . 将函数
的图象向右平移
个单位长度,所得图象再关于
轴对称,得到函数
的图象,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457eb5e0000350b102d387a80cf3476b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f46a13297035069791fec890b2d7f7b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-07更新
|
704次组卷
|
3卷引用:北京市西城区2024届高三下学期5月模拟测试数学试卷
名校
解题方法
4 . 已知函数
若对任意的
都有
恒成立,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7662bc56becad32b12e4b2b77973ff82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5fc0c0942928b7c5bcd9ef77bd0b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-07更新
|
658次组卷
|
3卷引用:北京市昌平区2024届高三第二次统一练习数学试题
5 . 函数
图像可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c83f4c440c0041ad32eea15527e569e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-04-26更新
|
230次组卷
|
3卷引用:北京市中国人民大学附属中学2023-2024学年高一下学期期中练习数学试题
北京市中国人民大学附属中学2023-2024学年高一下学期期中练习数学试题(已下线)北京市中国人民大学附属中学2023-2024学年高一下学期期中练习数学试题变式题6-10河南省中原名校2024届高三下学期高考考前全真模拟考试数学试题
解题方法
6 . 若函数
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75776fbbecef6b0b486aa4b46914dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ec808ad60dbf016632ec816eaca1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d47c1b2254840eb6c54ec0c6214990.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024高三下·北京·专题练习
解题方法
7 . 设函数
,函数
.则下列说法正确的有____
①.当
时,函数
有3个零点 ②.当
时,函数
只有1个零点
③.当
时,函数
有5个零点 ④.存在实数
,使得函数
没有零点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5082bc7546d2327aeb79ed9fb0203d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541ca543427de0dafb2c1a1254f277d3.png)
①.当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
③.当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293d639e67df2da17966a567db2656e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
2024高三下·北京·专题练习
解题方法
8 . 已知函数
,则下列说法正确的有_______________
①.
的单调减区间为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77eb16f9707bcfaa5230d32ac7494ddc.png)
②.若
有三个不同实数根
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c30aef5126a03682afce26e0135d0d9.png)
③.若
恒成立,则实数
的取值范围是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6a5f28db1e6005c45b1acc9c53b730.png)
④.对任意的
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
,不等式
恒成立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c659985e45ef900e6878b66a55a92a.png)
①.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77eb16f9707bcfaa5230d32ac7494ddc.png)
②.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.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/5c30aef5126a03682afce26e0135d0d9.png)
③.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7a54ead79841d64b18c5ea1a09ae4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6a5f28db1e6005c45b1acc9c53b730.png)
④.对任意的
![](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/0eea38b035412ba24495d42dde3ea859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063223b5d1fc1b45ad67c449b330a064.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
在区间
的图象如下图所示,则
的解析式可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877e6c30566e9d9b11ecf5b78f4c5e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-25更新
|
814次组卷
|
2卷引用:北京市通州区潞河中学2023-2024学年高三下学期第三次模拟数学试卷
2024高三·北京·专题练习
10 . 已知函数
,则下列说法正确的有________ .
①函数
的值域为
;
②方程
有两个不等的实数解;
③不等式
的解集为
;
④关于
的方程
的解的个数可能为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4631d2c8bc7dfbc9646b98430556152a.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca5e984d5e14b4be18a5ee99f80a4f.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a73db674d29eae8f8921eff5944983.png)
③不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76eb0cc201c45f1abf7a3c0f21253811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3979b42d7d6cdb7a54d00ba41b92a0.png)
④关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ad7cd0c02bb7220641b9729bac2168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29376026a31f34b0b418c93d86785872.png)
您最近一年使用:0次