2023高三·全国·专题练习
解题方法
1 . 下列命题是正确为( )个
(1)若函数
在
内单调递减,则一定有
.
(2)若函数
在某一范围内导数的绝对值越大,那么函数在这个范围内变换得就越快,此时函数的图象就会更“陡峭”(向上或向下).
(3)在
内,
且
的零点有有限个或可列个,则
在
上为增函数.
(4)若函数
在
上存在单调递减区间,则当
时,
有解.
(5)若函数
在区间
内是增函数,则实数a的取值范围是
.
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e61575439a23309daa6f5d0688a56d1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62559d143b4a977be9990eebcbec539e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
(4)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b7e150af2052a1664cde963273d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e61575439a23309daa6f5d0688a56d1.png)
(5)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c624c963fd34aa1f7baed5cac7fdaa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ec5e0de82f13e711b23f9ae37cdac3.png)
A.2 | B.3 | C.4 | D.5 |
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解题方法
2 . 已知.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f161c2a3717f1b6c62d0d7dae0b606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4753d6d46da2936d6e0d963b94efc02c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3abd318e7b51e3b16cd57b636e3b429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ca77a28ce8ce797a1b1bb3c465dcd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a458f4716b7fb99418d762909eecab11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c0309456de2cd6420ece4fbc5eeddb.png)
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3 . 设
为定义在R上的函数
的导函数,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2022-04-14更新
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2卷引用:人教A版(2019) 选修第二册 过关斩将 名优卷 综合检测