名校
解题方法
1 . 在
中,内角A,B,C所对的边分别为a,b,c,且
.
(1)求角A的大小;
(2)若
为锐角三角形,点F为
的垂心,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637e02b1ce2b9a2722eb149038463627.png)
(1)求角A的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495be6a6b940e8affe38f2bcdee246b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f13028f0da99d1282256123bf853a38.png)
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1048次组卷
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2卷引用:辽宁省大连市第十二中学2023-2024学年高一下学期6月份学情反馈数学试卷
名校
解题方法
2 . 某工业园区有
、
、
共3个厂区,其中
,
,
,现计划在工业园区内选择
处建一仓库,若
,则
的最小值为( )
![](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/cd46f78d1641e1f10e38dc7864d6703b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf1ebaf51acdd9c790c17053cffb7d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b3bfde4b7cbca10de7d63bb7b2cfd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:辽宁省大连市第十二中学2023-2024学年高一下学期6月份学情反馈数学试卷
辽宁省大连市第十二中学2023-2024学年高一下学期6月份学情反馈数学试卷广东省六校(北江中学、河源中学、清远一中、惠州中学、阳江中学、茂名中学)2023-2024学年高一下学期联合质量监测考试数学试题(已下线)专题02 平面向量的应用-《期末真题分类汇编》(人教A版2019必修第二册)
3 . 我国汉代数学家赵爽为了证明勾股定理,创造了一幅“勾股圆方图”,后人称其为“赵爽弦图”.类比赵爽弦图,用3个全等的小三角形拼成了如图所示的等边
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221a091e823526ce02a78be01068c01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0ba1776a7c0bac5141407836e12153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
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4 . 已知等差数列
的前
项和分别为
与
,且
,则
( )
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a5578de7c829fe656082b82208fa32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4863086901be9beea78c25d48ceb460.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-08更新
|
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2卷引用:辽宁省大连市滨城高中联盟2023-2024学年高二下学期4月考试数学试卷
名校
解题方法
5 . 已知
三个内角
所对的边分别为
,且
.
(1)求
的值;
(2)若
的面积
,且
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4f9001c3b1820bf3b9d89d8836d8f8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dcfa3e340b3976832d450dd4ae7e7a7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a63a31fe4693138243a2ba1e163c010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e200763a83e8072ade68a4599805ce62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-04-26更新
|
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2卷引用:辽宁省大连市第十二中学2023-2024学年高一下学期6月份学情反馈数学试卷
名校
6 . 侏罗纪蜘蛛网是一种非常有规律的蜘蛛网,如图,蜘蛛网是由无数个正方形环绕而成的,且每一个正方形的四个顶点都恰好在它的外边最近一个正方形四条边的三等分点上,设外围第1个正方形的周长是m,第n个正方形的周长为
,侏罗纪蜘蛛网的长度(蜘蛛网中正方形的周长之和)为
,则下面选项中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
7 . 已知函数
,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f62236c819a238dc10f9a8df101148.png)
(1)设
,若对任意的
,存在
,都有
,求实数
的取值范围;
(2)当(1)
中
时,若
,
都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320be9aa2d2161ff5347ff58467937f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f62236c819a238dc10f9a8df101148.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6c93538de6e4b451f68456268088ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e6049c6361242d9b77e6cbe2750a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57045228fec057c04c8a9a3423ee9d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07328660ebedbdff25da3232065692f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6c93538de6e4b451f68456268088ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb25b6bce7944fa58272673771ba14c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1f9c884cc2749cafe965e550190c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62709b4e2a66ac3a96ffc5944c4cc6e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-04-22更新
|
522次组卷
|
3卷引用:辽宁大连市滨城高中联盟2023-2024学年高一下学期4月月考数学试卷
辽宁大连市滨城高中联盟2023-2024学年高一下学期4月月考数学试卷辽宁省大连市长海县高级中学2023-2024学年高一下学期第一次月考数学试卷(已下线)模块三 专题2 解答题分类练 专题2 函数y=Asin(ωx+φ)的图像和性质(解答题)
名校
8 . 已知
是等差数列,
,且
的前n项和为
,
,且
成等比数列,点
在
上.
(1)求
及
;
(2)判断是否存在正整数m、k使得
、
、
成等比数列.若存在,求出所有m、k的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9186a380acea9af8b911de936123447d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7eb18614c7f1466ed722132f0d5e2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1257210e2e8ea21b053f0857d04444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999626ac9e7f3310b7f031953b93be45.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)判断是否存在正整数m、k使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22c854894d7a74582744df5e45d4c26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efae6cebf24728262ccd2df91904815d.png)
您最近一年使用:0次
名校
9 . 已知等差数列
的前n项和为
,且
,
.
(1)求数列
的第8项
及前20项和
;
(2)问数列
的前多少项和最小,最小值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c37abf18ca94e006a0879e91a9a82b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326c67df967048395f097e8b99bf29b5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a27c112387e56c976489fa484c0d48f.png)
(2)问数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
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名校
10 . 已知
为数列
的前n项和,且满足
,则
( )
![](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/c8ad6ff0395e398f6e38a499f65cf48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8c1419e4d54103523640b5433dcbb3.png)
A.100 | B.130 | C.150 | D.200 |
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