1 . 已知定义在R上的可导函数
满足
,设
,
,则 a、b的大小关系是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d76fd9b593727147276c5ba1d7c93a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83cee6a89e9d71348029265919d4581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70e6a8a04a04f8e2b8a964ff580410b.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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2 . 已知函数
满足
,当
时,
,若在区间
内,函数
有三个不同的零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbac3ba307aa20d740005b2d9238e268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64263fe2ca48e694c87496d61e63fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24058c8c54422e631b3fab40d11a3d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92806f646c860991ed47556ffd1169a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-07-20更新
|
172次组卷
|
2卷引用:福建省2016届高三毕业班总复习(导数)单元过关平行性测试卷(理科)数学试题
3 . 已知函数
,给出下列结论:
①
的单调递减区间;
②当
时,直线y=k与y="f" (x)的图象有两个不同交点;
③函数y=f(x)的图象与
的图象没有公共点.
其中正确结论的序号是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae9174bb27aac8686e477710499639b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a2ca44e256561d3e756b9dcca0244e.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32932c19306b2b8af0c221f84e492e7e.png)
③函数y=f(x)的图象与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b629bea8e22de9bfc49158e2289871.png)
其中正确结论的序号是
A.①③ | B.① | C.①② | D.②③ |
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4 . 已知函数
有且仅有两个零点, 则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d945b3cc4f879154eb7ec9d645bb1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 给出下列四个命题:其中所有正确命题的序号为
①中,是成立的充要条件;
②已知锐角
满足
,则
的最大值是
;
③将
的图象绕坐标原点O逆时针旋转角
后第一次与y轴相切,则;
④若函数
为R上的奇函数,则函数的图象一定关于点
成中心对称.
①中,是成立的充要条件;
②已知锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2cb357f48364ac47fd8a92d635c107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03005d17bf564371ad29fea41f5c650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
③将
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945004032/STEM/b301cdaa80dd49899b5d0865a7e0c237.png)
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945004032/STEM/2df32e6bc7fe486885c4cadbb9122d20.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb839865d03d7bb6ee20032d370c2ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b3620056971f56c0740a9e40fea990.png)
A.①②③ | B.②④ | C.①③④ | D.①②④ |
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名校
6 . 设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fff75fe314663a09c42eabb61bf0e7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知函数
对定义域内任意
,都有
,则正实数
取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0803f73027eb1eda725c4af835fed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998300a677c3f657523a4071def9135a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2013·福建福州·一模
解题方法
8 . 对于函数
与
和区间D,如果存在
,使
,则称
是函数
与
在区间D上的“友好点”.现给出两个函数:
①
,
;
②
,
;
③
,
;
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
,
,
则在区间
上的存在唯一“友好点”的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/9c9cf1c50d14407e9fc94e5a75647859.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/6b1be4c3444e44b8a5ca5a9c36b843d3.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/2476a0989d2d489db5238542ef6d70cf.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/ebe7ebb8ef4744dd9cf3e536ed51e1a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/9c9cf1c50d14407e9fc94e5a75647859.png)
①
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/8862d85adda74bfab2e3ef2c3885c6cc.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/e9545e0ab540407b945bfd56c8b30dac.png)
②
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/fe068eabba534bf2bf3c3d6e00817614.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/e3baaa3600094ef3a9ac9bf77a2efb8a.png)
③
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/547089f72c4245f68b7619f34aa453ea.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/0f1dfbf45eb1413388016bf01f7cfd21.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/acae5c95a39f496ba4f4c5dcc4f4cc6f.png)
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/6936d62bc9604e27a89da850e0624543.png)
则在区间
![](https://img.xkw.com/dksih/QBM/2013/9/4/1571340182110208/1571340187705344/STEM/e1d4153dcc2a48f3b689b389b7aa7f1b.png)
A.①② | B.③④ | C.②③ | D.①④ |
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9 . 直线
与曲线
顺次 相交于
三点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3016baf1a9ce777f16ea9ce469b2510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf3d8bd47cb0574b5fb62042b66a63c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db7fb760bede1810b818e37593bf106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.-5 | B.![]() | C.![]() | D.![]() |
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10 . 若曲线
与
恰有两条公切线,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43500678e0aba349d2cc42f91b5cbe25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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