2024高三·全国·专题练习
1 . 已知数列
和
,其中
,
,
的项是互不相等的正整数,若对于任意
,
的第
项等于
的第
项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b48c1cad7bf0ab90e058e0508616346.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dd3ce757a2ad080ece0e34424fb05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca1d86c9f078347773f700fee49d1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca1d86c9f078347773f700fee49d1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b48c1cad7bf0ab90e058e0508616346.png)
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2 . 大气压强
,它的单位是“帕斯卡”
,大气压强
随海拔高度
的变化规律是
,
是海平面大气压强
已知在某高山
两处测得的大气压强分别为
,若
,那么
两处的海拔高度的差约为(参考数据:
,
)( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcfbc37ade11660c148435125f11a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dd6877d8cede7fde7fdad184693a410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a31047c142dc271ca71dbe495433741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40420dc952f91a7d333f84771cc7f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5e0da76186b6bc243298583f162d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606c4a853a6a34cb7f33bea81b15a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3c5a4887dfe02b02ee90d740151e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d4f9a30b6bc3607630048b84bfa1ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867a01569cb3a5ab9587c85eeb43fb23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25522700e456c259978a6d762e818572.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知
分别是数列
的前
项和,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478421b81927e435cbcf5acafa89efd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/758e98bb08ee2d4105904e20c610b421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1376a07ade2c60c5c3bf12886d9487f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-03更新
|
328次组卷
|
3卷引用:福建省泉州市2023-2024学年高二上学期1月期末教学质量监测数学试题
福建省泉州市2023-2024学年高二上学期1月期末教学质量监测数学试题浙江省杭州市富阳区场口中学2023-2024学年高二下学期3月教学质量检测数学试题(已下线)专题01求数列通项公式9种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)
24-25高一上·全国·课后作业
4 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6b62fd3d957bea57b298adad97fbc8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e261229041a72370201784e8414c35f3.png)
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24-25高一上·全国·课后作业
5 . 计算:
(1)
;
(2)
;
(3)
(
,
,且
,
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262af283ababdfbd4c43605acf7d845a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3038e15302e53fd50808c8b89d604514.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d34ffe7d57e109bd2c444b198c6a8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406185f4ad8bcd99e23adc8d289088ed.png)
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名校
6 . 设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c22aa8e9b0883c5477bda5e69364630.png)
________ (用
来表示.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df34923394da1b09434c4789b1da2e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c22aa8e9b0883c5477bda5e69364630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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7 . 计算下列各式的值.
(1)
;
(2)
且
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10b9c76ca7fef1e75756338d2591d88.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5275acda688320ba57ceac2770bf9228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
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名校
8 . (1)计算:
;
(2)已知
,求
及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a171cb2875191c5900af70c60f59ec.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0666cbe081eb4ae1c2e4fd96b1cdc37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ae49451ecb6c50998bcb28c3e0da4f.png)
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2024-03-19更新
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2卷引用:江西省庐山市第一中学2023-2024学年高一上学期期末考试数学试题
9 . 苏格兰数学家纳皮尔在研究天文学的过程中,为了简化其中的大数之间的计算而发明了对数.利用对数运算可以求大数的位数.已知
,则
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ebdb244f65761b39ca795a2628025f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a6f82f4f5cfdce0608f76fe166d03f.png)
A.9位数 | B.10位数 | C.11位数 | D.12位数 |
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2卷引用:四川省部分名校2023-2024学年高三上学期期末联合考试理科数学试题
10 . 已知
,则下列不等式一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-14更新
|
602次组卷
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4卷引用:湖南省常德市2024届高三上学期期末检测数学试题
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