1 . 罗定文塔,位于广东省云浮市罗定市城区.罗定文塔原名为三元宝塔,“三元”的意思是希望当时广东罗定州的考生在科举考试中能连中“三元”.宝塔平面上呈八角形,各层塔檐微微翘起,状如绽开的花瓣.顶层的莲花座铁柱、塔刹九霄盘、宝珠等铸件总重逾七吨,为广东古塔之最.如图,为了测量罗定文塔的高度,选取了与该塔底
在同一平面内的两个测量基点
与
,现测得
,
,
,在点
测得罗定文塔顶端
的仰角为
,则罗定文塔的高度
( )(参考数据:取
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df617f723281cbe3a7af63051ee96b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b7317b41dfd5b2592084056bbe6d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3cc72ad56ceacfd8f41db6956e7995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2931e9bcd1cd5280d783ed6dda4ca38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df40b647e45af9659a03a4d0f7595f67.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/15/11795764-0b17-45ca-ac2e-09a63417f18e.png?resizew=117)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 设等比数列
的公比为
,其前
项和为
,前
项积为
,且
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91404898177d5d7ec03abcce79f74a1a.png)
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d87fb02b08c88b0c9f27f839a7d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473e057dcbea5877b8af2bc3c5c0652a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91404898177d5d7ec03abcce79f74a1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328dfd1ba6606b6e944158e476adefbf.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-07-14更新
|
469次组卷
|
3卷引用:辽宁省朝阳市2022-2023学年高二下学期期末数学试题
3 . 已知数列
的前
项和为
,
,且
.
(1)求数列
的通项公式;
(2)记
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bdf2d6e0f0f738bd8708ff243c2b8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eec901902c18c6904b4250b7516148.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d90a2d6737648268bd042a8b387fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
4 . 已知在等差数列
中,
.
(1)求
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51ae613ae37a3c2d01caca07427ddb4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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5 . 记
为等差数列
的前
项和,公差为
,若
,则整数
的一个值可以为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401e7358247d6fdb34809c871ffd95d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
您最近一年使用:0次
2023-07-14更新
|
240次组卷
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4卷引用:辽宁省抚顺市六校协作体2022-2023学年高二下学期期末考试数学试题
解题方法
6 . 函数
的定义域为__________ ,最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7d33fa6030ed9d8d6217b52a623a3a.png)
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解题方法
7 . 已知
,则必有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31739b2cfe09f5d1cc1254b35cc0aec0.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2023-07-14更新
|
1123次组卷
|
7卷引用:辽宁省抚顺市六校协作体2022-2023学年高二下学期期末考试数学试题
辽宁省抚顺市六校协作体2022-2023学年高二下学期期末考试数学试题辽宁省县级重点高中联合体2022-2023学年高二下学期期末考试数学试题(已下线)高一上学期第一次月考数学试卷(提高篇)-举一反三系列(已下线)专题03 不等式与不等关系压轴题-【常考压轴题】广东省惠州一中实验学校2023-2024学年高一上学期9月月考数学试题(已下线)高一上学期期末复习【第二章 一元二次函数、方程和不等式】(拔尖篇)-举一反三系列(已下线)FHsx1225yl140
解题方法
8 . 为满足群众就近健身和休闲的需求,很多城市开始规划建设“口袋公园”.如图,在扇形“口袋公园”OPQ中,准备修一条三角形健身步道OAB,已知扇形的半径
,圆心角
,A是扇形弧上的动点,B是半径OQ上的动点,
,则
面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07445aa3909818a3ef93bb01182f545f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa94bd35e038c38c4ed95bb757ea688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3462c2ed8cf90fd7cb391c38bbe6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/16/6781fed5-54a7-4291-84c5-80c79288405f.png?resizew=141)
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解题方法
9 . 在
中,内角
,
,
的对边分别为
,
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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解题方法
10 . 康托(Cantor)是十九世纪末二十世纪初德国伟大的数学家,他创立的集合论奠定了现代数学的基础.著名的“康托三分集”是数学理性思维的产物,具有典型的分形特征,其操作过程如下:将闭区间[0,1]均分为三段,去掉中间的区间段
,当记为第一次操作;再将剩下的两个区间
分别均分为三段,并各自去掉中间的区间段,记为第二次操作:…,如此这样,每次在上一次操作的基础上,将剩下的各个区间分别均分为三段,同样各自去掉中间的区间段.操作过程不断地进行下去,以至无穷,剩下的区间集合即是“康托三分集”.若使“康托三分集”的各区间长度之和小于
,则需要操作的次数n的最小值为( )(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5788219e1b572a03b7453968ad25f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5320a6ab3ca524daefb23a951c6332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8930e9a26a52a6b09740c1dddbd40e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9219bd9c8b266636579b736593279656.png)
A.6 | B.8 | C.10 | D.12 |
您最近一年使用:0次
2023-07-12更新
|
311次组卷
|
3卷引用:辽宁省锦州市2022-2023学年高二下学期期末数学试题