解题方法
1 . 函数
的定义域为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728f2cc68f8ca8ef2faa681785798259.png)
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2 . 半导体的摩尔定律认为,集成电路芯片上的晶体管数量的倍增期是两年,用
表示从
开始,晶体管数量随时间
变化的函数,若
,则下面选项中,符合摩尔定律公式的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2173e202eadb697e0924d083a7e67bd.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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2024-04-26更新
|
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4卷引用:广东省部分学校2024届高三5月联考数学试卷
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3 . 设
,
,用
表示
,
中较小者,记为
,若方程
恰有
三个不同的实数解,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88742ad07862bbb831acd5b558c467e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68e7f5900576c46c8eb8f4c60c1839a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1ed40a8f67e93401e544284ceaaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241541a56cadaf957535d9a432a1e0e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d49046b55979fdffb6ccd2760e1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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解题方法
4 . 若集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24bf4a4c4da017e300afe2e8d92fda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933347fd4d93628c8a9cb6a540560471.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2024-04-24更新
|
1397次组卷
|
2卷引用:广东省韶关市2024届高三综合测试(二)数学试题
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5 . 若函数
满足
,则称
为满足“倒负”变换的函数,在下列函数中,满足“倒负”变换的函数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6853d01dfa3c24c7a5bf9ad0b026567d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-23更新
|
178次组卷
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2卷引用:广东省河源市河源中学2023-2024学年高一上学期第一次段考数学试题
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6 . 若集合
,
,则集合
的真子集个数为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e833a12107015f69158e6183c0c4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853ace6868f7f57bd50665a88afd99d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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解题方法
7 . 若函数
恰有两个零点,则实数
的取值不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51b09b9b3406b4664c52698f4479f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.0 | B.![]() | C.2 | D.3 |
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解题方法
8 . 已知函数
是定义在
上的函数,
恒成立,且
.
(1)确定函数
的解析式;
(2)用定义证明
在
上是增函数:
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf93c790b9bdd806b63fa305205ee30b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e91676c7adfd65a76f56a0c1d4bbe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d88a41a8c39757a1bbcc8ae9052c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9b3ea0fbc428f75ced3a3b8cce8a21.png)
(1)确定函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e91676c7adfd65a76f56a0c1d4bbe0.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a66ddc5676fa7b1815b3def21aec31.png)
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解题方法
9 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef2a45773db8d347f0cfa4e4fca7fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1f09b8a8856aa238791570b9cadd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413f9851aad373d782ae62b308f1de85.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 若函数
是函数
(
,且
)的反函数,且满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4ed4485745f1d259a3953c242b9cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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