解题方法
1 . 已知数列
的前
项和为
,
,
.
(1)求数列
的通项公式;
(2)若
,
,
成等比数列,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/861456eae24cd70b9f21a8293d37b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0620331265c321c19bc86f418a3e014d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9cb7258cff29fdc988476f2087e7103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78a6baca8d2fc852756d8fec17300a4.png)
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2 . 在等差数列
中,
,其前
项和为
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61e77e60443532d9713458cb79258b3.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/0434ab3f605f44449907d07042574e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
A.2 023 | B.-2 023 | C.-2 024 | D.2 024 |
您最近一年使用:0次
2023-09-22更新
|
1615次组卷
|
8卷引用:四川省眉山市东坡区眉山北外附属东坡外国语学校2023-2024学年高三上学期开学数学试题
四川省眉山市东坡区眉山北外附属东坡外国语学校2023-2024学年高三上学期开学数学试题(已下线)5.2.2 等差数列的前n项和(3知识点+8题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)(已下线)4.1 等差数列(第2课时)(十三大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)专题6.1 等差数列及其前n项和【九大题型】(已下线)专题03 等差数列(二十三大题型+过关检测专训)(3)(已下线)FHsx1225yl187(已下线)第一章数列章末十六种常考题型归类(2)内蒙古呼和浩特市回民区2023-2024学年高二下学期期中考试数学试题
3 . 如图,以点
为圆心,
为直径的半圆经过点
,若
为弧
的中点,若
,则图中阴影部分的面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/22/687e4e8c-e098-4786-a1c2-5235b090cb25.png?resizew=170)
A.![]() | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
4 . 伯努利双纽线,简称双纽线,是1694年伯努利将其作为椭圆的一种类比来处理,指的是由到两个定点的距离之积为常数的点的轨迹.曲线的形状类似于横写的阿拉伯数字8或者无穷大的符号∞.如图是一个对称中心为原点且长轴在x轴上的伯努利双纽线,它的极坐标方程为
,其中原点到曲线与横轴交点的距离为a.
(1)写出伯努利双纽线
的直角坐标方程;
(2)曲线
与伯努利双纽线
交于点P,当
时,求点P的极坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33712207b340c482fbc44b772e88d7d4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/23/a1fdd905-e3e3-4696-ad42-5fb07d2a5c7a.png?resizew=160)
(1)写出伯努利双纽线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f71f1db49c0863ea542fedcd3c34d4.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9eb69cb44ade52b4401092fd60c2635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cacb0eabf0234251178a49ead789fee4.png)
您最近一年使用:0次
名校
解题方法
5 . 在△ABC内,角A,B,C所对的边分别为a,b,c,且
.
(1)求角B的值;
(2)若
,点D是AC边上靠近点C的三等分点,求BD的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a1176177055cff96909217fde5982b.png)
(1)求角B的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed2df8f5df0f7c0f4c3f5aac9817004.png)
您最近一年使用:0次
2023-09-22更新
|
568次组卷
|
3卷引用:四川省眉山市东坡区眉山北外附属东坡外国语学校2023届高三下学期开学考试文科数学试题
四川省眉山市东坡区眉山北外附属东坡外国语学校2023届高三下学期开学考试文科数学试题内蒙古赤峰市赤峰二中2024届高三上学期10月月考数学(文)试题(已下线)第13讲 拓展一:平面向量综合问题-【帮课堂】(人教A版2019必修第二册)
解题方法
6 . 一个盒子内装有若干个大小相同的红球、白球和黑球,从中摸出1个球,若摸出红球的概率是0.45,摸出白球的概率是0.25,那么从盒中摸出1个球,摸出黑球或红球的概率是______ .
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7 . 如图,在平面直角坐标系中,已知
,以点
为圆心的圆与
轴相切.点
、
在
轴上,且
.点
为
上的动点,
,则
长度的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d7d75a66dd9e14c866e39e82074d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fca3734de79f7f50b552ef62b29dc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9b9bb0f509e6f3d30858efb217c1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/22/828c430b-9f86-44f2-945e-f4003e633a44.png?resizew=199)
A.14 | B.15 | C.16 | D.8 |
您最近一年使用:0次
名校
8 . 如图,在一个单位为l的方格纸上,
,
,
,…,是斜边在x轴上,斜边长分别为2,4,6,…的等腰直角三角形,若
的顶点坐标分别为
,
,
,则依图中所示规律,
的横坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbfc0ce508977423897abed5933856f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf529a81d1694cd7ac0fb4666dfc878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbd42b5263db33b98bd2a0c73f503b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbfc0ce508977423897abed5933856f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711323c19a50a1f579bfe72fe883e2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2280277323db7183727f887dcd6e9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f86ee9c2b0b954c14442785b10bed25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77973387dada13dd03c0458028cbe46.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/21/0c88ae67-b680-4f74-83ac-61880da30eb7.png?resizew=226)
A.-1010 | B.1010 | C.1012 | D.-1012 |
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9 . 等腰三角形的一个外角是
,则其底角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391479c151307826c9765a47a5f10503.png)
A.![]() | B.![]() ![]() | C.![]() | D.不能确定 |
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10 . 把所有正整数从小到大排列,并按如下规律分组:(1),(2,3,4),(5,6,7,8,9),(10,11,12,13,14,15,16),…,现用等式
表示正整数
是第
组第
个数(从左往右数),如
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be191c9ca0392b03bdd76e42884cf13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f9d1dfde3dd46413992b656e15c022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96e1188fdb1f59e6f23ed89b94805e7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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