名校
1 . 已知
与
的图像至少有三个不同的公共点,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7acb45301311abad529a9d8737d074e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681d6d27b23b1c41834d7516122f73f9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-01-04更新
|
345次组卷
|
2卷引用:天津市第四十二中学2023-2024学年高三上学期10月月考数学试题
名校
2 . 已知函数
,若对于任意的
,都有
成立,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e7a101f06e4ce848ef68c9dac1661a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6c0fddb9074dfc96be03b4aa24d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6cf80ef58d5b34da51563489bfb69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-12-14更新
|
762次组卷
|
6卷引用:2015-2016学年天津静海县一中五校高二下期末数学理试卷
3 . 已知函数
在其定义域内有两个零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d827f87e10a7848797480161dcf3cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
4 . 已知
,
,若存在
,
,使得
,则称函数
与
互为“
度零点函数”.若
与
互为“1 度零点函数”,则实数
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cdbe19264d72b22150a3e8794b9216b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ff2b99623ae39583f3d2d5b8ae1c60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192e714a3bd489efcb4c16a28ff5b823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e25bc920a9d7206e416ed7bea28d531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca5b2ad8b91a309cc8c5b9afee2df1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd330acca8e17f5ff9aca1f0f312df50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b9658ea10fb1e56c0d461b696bf53ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8acaa78f91afd744afbd03f443a17227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-05-07更新
|
474次组卷
|
2卷引用:【全国百强校】天津市第一中学2017-2018学年高二下学期期中考试数学(理)试题
名校
5 . 设函数
,若方程
有12个不同的根,则实数
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b73fb59c418ed5a4f565e69bfac97b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4572a94a94fa10996c7cb7d8599ecb03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知函数
,函数
,则关于
的实根个数取得最大值时,实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53cb0564a690ee1cab0e861757aa0a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ab8c9d943f1bffd3162135faf22015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d5d8dfef06e51b8e4b5dc9d5fe794b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 设函数
,关于
的方程
有三个不同的实数解,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b26f55c7c29644dfe0277d3e2adf10.png)
![](https://img.xkw.com/dksih/QBM/2016/12/30/1619436251308032/1619436251561984/STEM/13c607c63c8c45df9ea6853440f0c2c7.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969a3f61c856e4a6fb13cb3729a5ef14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 若函数
与
的图象恰有两个公共点,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4359379a36268a64fc45d88860c8ce06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abe815750f7d1e45f53611ecf5de399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . “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.![]() |
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10 . 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