真题
1 . 已知
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84dc0e57301ef2369a8da90888e990d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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昨日更新
|
4300次组卷
|
4卷引用:2024年高考全国甲卷数学(理)真题
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2 . 下列等式正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 某海岛核污水中含有多种放射性物质,其中放射性物质
含量非常高,它可以进入生物体内,还可以在体内停留,并引起基因突变,但却难以被清除.现已知
的质量
随时间
(年)的指数衰减规律是:
(其中
为
的初始质量).则当
的质量衰减为最初的
时,所经过的时间约为( )(参考数据:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f22760acaf1716a94a5c110762693e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f031835395b78d5fe11fef5e308e926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf17b7abde13eb5ffdf72b1cc8f763c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf17b7abde13eb5ffdf72b1cc8f763c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35be0ef99c1c71dcc18dd873c7b9deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e6b153bbcb78cba191bcaef78739cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb44db1dc864ff4901be1e10da79747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf17b7abde13eb5ffdf72b1cc8f763c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf17b7abde13eb5ffdf72b1cc8f763c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe26e5673a3af533756977a52122a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f22760acaf1716a94a5c110762693e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f031835395b78d5fe11fef5e308e926.png)
A.300年 | B.100年 | C.255年 | D.125年 |
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4 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8da2b31b4d8c7ef16c218d6d23cc534.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20856e9f876a3793bd2a56627a88cc63.png)
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5 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70fa52cd342cbbc42631249029bb209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
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6 . 以下运算中正确的有( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 若实数
,
,
满足
且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6047dd36fc70f41ef7f17889629b3194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845a15858da0a84c74f8b06c332b07c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
A.![]() | B.12 | C.![]() | D.![]() |
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2024-05-30更新
|
489次组卷
|
2卷引用:四川省百师联盟2024届高三二轮复习联考(三)全国卷理科数学试题
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8 . 已知
,
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f917a1f98e5dcb3115c69f518ec714d.png)
_________ .(用含
的式子表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf3935ea958cb302fcd9d89a9182b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39ff249cb76b45f86668fe48bfc8d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f917a1f98e5dcb3115c69f518ec714d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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9 .
______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2242ab3ebab91f0cebbf60a0a936018.png)
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10 . 化简![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1550a5f15277be9a14075efdd2c3cc0.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1550a5f15277be9a14075efdd2c3cc0.png)
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