1 . 已知函数
,若存在实数
,
,
且
,使得
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec44311106711d4245d1adb4d12a69b7.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/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e45e961dd36b8f85703c91f248da3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1035c56842f3dbfd9ea26d899838b7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2 . 我们熟悉的网络新词,有“yyds”、“内卷”、“躺平”等,定义方程
的实数根
叫做函数
的“躺平点”.若函数
,
,
的“躺平点”分别为
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be943c6bb7e170907c93eae6b13a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d997e3fd54416a529c5095523bc15e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f17c20662a07a25d11f33a4488e31cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13487a3c7d84a5638de224a370910012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 设定义在
上的函数
与
,若
,
,且
为奇函数,设
的导函数为
,则下列说法中一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6cbd64291fa53ffec2592a50559e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0435c98002ba4deb90636b864e5a822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6d578f9c98ce402d4cf6e4a23281c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
A.![]() | B.函数![]() ![]() |
C.![]() | D.点![]() ![]() ![]() |
您最近一年使用:0次
4 . 方程
的正实数根所在的区间为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da7b2643f8b23b64fa1d7372c8baed1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 若复数
,则
的共轭复数
的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a94feb56eb05b27689ca1072eab8a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
A.![]() | B.![]() | C.6 | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . “切线放缩”是处理不等式问题的一种技巧. 如:
在点
处的切线为
,如图所示,易知除切点
外,
图象上其余所有的点均在
的上方,故有
. 该结论可通过构造函数
并求其最小值来证明. 显然,我们选择的切点不同,所得的不等式也不同. 请根据以上材料,判断下列命题中正确命题的个数是( )
;
②
;
③
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3fe2ef17248ee89e1ca43c0db267a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807d5f1676dc00e9b0af4656ce047170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807d5f1676dc00e9b0af4656ce047170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3fe2ef17248ee89e1ca43c0db267a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b3a5e0854a552973617a73ca89a6c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a4c61536e3e24b760066c88d5762a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff62be512f2e053659ed6e355adc3cc0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e121b3db6729caa8fade2d606c5abd69.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72f9fe9af333736b87aaeb5e331d5e5.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0895395eb64cb1d82cb01eedc75820.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d3a5fb665e5dc0abdb52890e4affbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281906e45b2cccc16408090c97c00c76.png)
A.1 | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
2024-06-13更新
|
565次组卷
|
2卷引用:天津市静海区第一中学2023-2024学年高二下学期6月学业能力调研数学试题
名校
8 .
是虚数单位,复数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16c316af2ceb11836ed7a5ebbd55f59.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 下列图象中,不可能成为函数
的图象的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803501a08d66791f2eeb2335763d55d1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 在同一平面直角坐标系内,函数
及其导函数
的图象如图所示,已知两图象有且仅有一个公共点,其坐标为
,那么下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851c68ef2e0703706f3b528daa902eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4772c835cbe626040ecc4df30e6f0ccc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次