名校
解题方法
1 . 已知函数
(
且
),![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc3bdec262e05c4b4c3bb0740af8842.png)
(1)求不等式
的解集.
(2)若函数
过点
,并且函数
满足
,求实数a与k的值.
(3)在(2)的条件下,判断函数
在
上的单调性(不必说明理由).若
时,不等式
任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba45e9db08ea78bad8b87c6e67b55b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74110bc818c2f5a53d63451c5251eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9933657444761c72ceb4b0c9017578a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc3bdec262e05c4b4c3bb0740af8842.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68225d7ad08d86a5a634eb2e6b83542.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010c74de86f432499fe7246a199721ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b588232e4a4af8221768af9e332b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5272fd043d44affb650f15b4d5c934b3.png)
(3)在(2)的条件下,判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d913b3ffc1962e2c255e6ea4c4fd0fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3970809a652cf8ad7b619aaaed353f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c631bc5567447afcb4e4a19dfae6db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26497bc1d93c4679b629bc909038d595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
您最近一年使用:0次
2022-10-24更新
|
351次组卷
|
2卷引用:天津市四校(杨柳青一中、咸水沽一中 、四十七中,一百中学)2020-2021学年高一上学期期末联考数学试题
解题方法
2 . 下列命题中正确的个数是( )
①函数
既是奇函数,又是R上的增函数
②不等式
的解集为R,则实数
的取值范围为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a2b13d4eb8aaff7042dd6c54469f45.png)
③
的定义域为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e3cefebfef1b8c91ad2e9ede5c195e.png)
④若
为偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8184d4f959385db2231b2cc35606e1.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0b1b3ff7b701b30cef0ac691448c96.png)
②不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9666d177284abf2e54135a40ec0e823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a2b13d4eb8aaff7042dd6c54469f45.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6f77058ce9029f6845c882dc0e6a8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e3cefebfef1b8c91ad2e9ede5c195e.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750620faa69d866ed75eeab194f0218d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8184d4f959385db2231b2cc35606e1.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
名校
3 . 下列命题正确的个数是( )
①命题“
”的否定形式是“
”;
②函数
的单调递增区间是
;
③函数
是
上的增函数,则实数
的取值范围为
;
④函数
的零点所在的区间
,且函数
只有一个零点.
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ccf40ed9c1f8664e4df733ac27ab458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61532ff0cfeee50ba510f37c46cca8de.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3f59e26390155b7c1224ef66276918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697502668f81761b8b9ee1d8f179451b.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31afc8494c97d22152eed9870e0b9af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefeac0d38a1a529666ebbb9278835a2.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c8ed66e857f5ad738cec4150222082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2022-08-15更新
|
1236次组卷
|
4卷引用:天津市武清区杨村第一中学2021-2022学年高一上学期第三次阶段性检测数学试题
名校
解题方法
4 . 复数
满足
,①
;②
;③复数
的虚部为
;④
是方程
在复数范围内的一个解.则以上四个结论中正确序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5bf0ee9e45490fb6503cc88f58d9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/145e6e8cb3f167d16cdeabd3bd17ca12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a369d595329752492349210d55544d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396df1e2e35bf3040082cbb783314e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467354a996bf765789a18542f1beb008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48fc19c302085de8a90e2827c32f15e7.png)
您最近一年使用:0次
2022-07-01更新
|
324次组卷
|
2卷引用:天津市西青区2020-2021学年高一下学期期末数学试题
名校
5 . 函数
可表示为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a39a8560abd8040b7543ed813c0649.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 比较大小:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668f9cb08177dfb600f13832d40a5d95.png)
___
.(填
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668f9cb08177dfb600f13832d40a5d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6636764abdb2ab8f730594a3fcb90bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ac357581c416822e8df4e09343b725.png)
您最近一年使用:0次
名校
7 . (1)求函数
所有零点之和.
(2)若函数
在区间
内有零点,求实数
的取值范围.
(3)若关于x的方程
(
且
)恰有两个解,求k的取值范围.
(4)若函数
在区间
内恰有一个零点,求实数
的取值范围.
(5)你认为解决零点个数问题的常用方法有哪些?(至少写出2个)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deaab532cd1d38eb5bb8a245bd4412bb.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f558cf53203269a9543ceb090121e55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62601da6afcaf350ceeda7b178f5ace5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(4)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc02a95f825435c2503bf44e4cd9cdb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(5)你认为解决零点个数问题的常用方法有哪些?(至少写出2个)
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8 . 已知点
关于x轴的对称点
在反比例函数
的图象上,则实数k的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e648aa381d4c1ee6639536b0b1510a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
A.3 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 解下列一元一次不等式(组):
(1)
,并把它的解表示在数轴上.
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/439804eb1594b89c0c95061d9a920e31.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e73e35ec2e6e9ae36f200121a2fa35.png)
您最近一年使用:0次
10 . 在某时段由
辆车通过一个雷达测速点,工作人员将测得的车速绘制成如图所示的条形统计图,则这
辆车的车速的众数(单位:
)为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/0cef3701-d3a4-426a-b40e-e281e7193cbd.png?resizew=455)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd9242efa2facde4d7c79ff0c1b00ea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/0cef3701-d3a4-426a-b40e-e281e7193cbd.png?resizew=455)
A.![]() | B.![]() | C.![]() | D.![]() |
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