名校
1 . 已知函数
是
的导函数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9ca8d13fcffa6e9fb07efdd05e4a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.“![]() ![]() |
B.“![]() ![]() |
C.若不等式![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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2 . “最速曲线”是一段旋轮线上下翻转而成.旋轮线C的参数方程为
,其中
为参数,
为常数,旋轮线C也可看作某一个函数
的图象.下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21c727d4357dd95d5b833f1d5d9fb56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cee5b15aea9c4a46196e1d0c1ce1da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
A.点![]() |
B.函数![]() |
C.函数![]() |
D.当![]() ![]() ![]() |
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2024·全国·模拟预测
3 . 已知函数
,
,下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42979c0a84369f6795690f277b458d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681d6d27b23b1c41834d7516122f73f9.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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4 . 已知函数
与
,记
,其中
,
且
.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/789654bc7d1e9048353dbf5ae02639b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69523cde79846ee14f837e06a4a3aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9d0411eb78dc73cb0063e3ecf18fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6612afffccf731637a818d5732e5ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff414ddfcceea77c1b95d92f82f982a.png)
A.![]() |
B.若![]() ![]() ![]() |
C.![]() |
D.![]() ![]() |
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5卷引用:广东省佛山市禅城区2024届高三统一调研测试(二)数学试题
5 . 已知函数
的定义域为
,则下面判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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6 . 已知函数
满足:
,
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e837bb2555b79c3374f6c509c8fba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3276b5e12396fc4753eb3f8254f9fa68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936c6f26d6d849f90009a8f2fa0bf6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fff070e0fe24cd03e682864ab20ccbe.png)
A.![]() | B.![]() |
C.方程![]() | D.![]() ![]() |
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4卷引用:浙江省温州市2023-2024学年高一上学期期末教学质量统一检测数学试题(A卷)
浙江省温州市2023-2024学年高一上学期期末教学质量统一检测数学试题(A卷)江西省宜春市丰城中学2023-2024学年高一下学期4月期中考试数学试题辽宁省大连市第二十四中学2023-2024学年高一下学期5月期中数学试题(已下线)专题03y=Asin(ωx+φ)的综合性质期末8种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)
7 . 定义在
上的函数
同时满足:①
,
;②
,
,则下列结论正确的是( )
![](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/781e1d8e00d825b488a456999175d1ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366839b25310cb3168d411b1d5f73b06.png)
A.![]() |
B.![]() |
C.存在![]() ![]() |
D.任意![]() ![]() |
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8 . 已知
两点位于直线
两侧,
是直线
上两点, 且
的面积是
的面积的 2 倍,若
, 下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757942f619e1f8d5296438829fb11b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73636989e83905f8800a865c2b608c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e442c88b72abb4107dc2b2d4a0bc89f.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() |
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|
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5卷引用:湖南省长沙市长郡中学2024届高三寒假作业检测(月考六)数学试题