2023高一上·全国·专题练习
1 . (1)
;
(2)
;
(3)
;
(4)已知
,
,试用
,
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68d0c7834f382482c5f8ca5bcd252c7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9426b0415be1ab41bd7193017a14595b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fcd979e0e74b2152ae4f326e825b57.png)
(4)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf3935ea958cb302fcd9d89a9182b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d077f6db331fe4b86f29e2fa93903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f239b96658ab017dcff1ac903a54d6.png)
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2 . 19世纪美国天文学家西蒙·纽康在翻阅对数表时,偶然发现表中以1开头的数出现的频率更高.约半个世纪后,物理学家本·福特又重新发现这个现象,从实际生活得出的大量数据中,以1开头的数出现的频数约为总数的三成,并提出本·福特定律,即在大量
进制随机数据中,以
开头的数出现的概率为
,如斐波那契数、阶乘数、素数等都比较符合该定律.后来常有数学爱好者用此定律来检验某些经济数据、选举数据等大数据的真实性.若
(
,
),则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c519affe70d6355b5aaf36e976e986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2558ceb44be2c3507c71718eec5613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6bc55d5eb2c3d085b62ffcd8d138d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a845370db4342ebf07db2942ee9added.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.3 | B.5 | C.7 | D.9 |
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解题方法
3 . 已知函数
在
上单调递减,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0c069ac8ea1f50a8dc0aa4d059b030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 .
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e865a7a6bdc425f10a774538112d5284.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812d4daa16cf4bc5889a5af967c27760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c206a9e53e00b5bc4a026e856289bbc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e865a7a6bdc425f10a774538112d5284.png)
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5 . 下列各式中一定成立的有( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 计算
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7cc9572f19daec0ee6889997a56960d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知函数
,若正实数
,
,
互不相等,且
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33c4ff242c2489267d04f86acb5afb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6637110325fc5bcb6337762aecf53d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2d7ddd7ef3b6cde30018bc6a84b9e0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知函数
,有4个零点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1846084bb84cb3aab6462299344d2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147c46ee154e423262ca4c22b2ed2ace.png)
A.实数![]() ![]() |
B.函数![]() |
C.![]() |
D.![]() ![]() |
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9 . 已知正实数
,满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f1a77df4f43746a2e3fa334503ae0e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . Peukert于
年提出蓄电池的容量
(单位:
),放电时间
(单位:
)与放电电流
(单位:
)之间关系的经验公式:
,其中
为Peukert常数.为测算某蓄电池的Peukert常数
,在电池容量不变的条件下,当放电电流
时,放电时间
;当放电电流
时,放电时间
.若计算时取
,则该蓄电池的Peukert常数
大约为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b602121e311c18a18b5be819936994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78884bfdb91dda851066684f167f7fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933311c0c090e1138e4dd388b7adf8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0af82f69d759fa80bb68865ba67ad2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d5bfe3fa16c24fb969714cef588fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527a563810b229566797b2168ba9fb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c882f432361537e223dd46a02fd83bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b18317d913cc01d05dcb4285d358a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210da5653b0cf98863ff54b341eb7019.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-24更新
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470次组卷
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3卷引用:四川省宜宾市叙州区第二中学校2023-2024学年高一上学期期末数学试题
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