解题方法
1 . 记
的内角
的对边分别为
,已知
.
(1)求
的值;
(2)如图,点
在边
上,
,求
的面积.
![](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/2eb7e4c1e43c5294c0e2d800a4c9381e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/29/2690d1a1-793f-4d0e-b908-e68abf7d1f52.png?resizew=281)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)如图,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50bbdabb6dedf9e30dd1f52424e78a91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2 . 已知
是公差不为
的等差数列
的前
项和,
是
与
的等比中项,
.
(1)求数列
的通项公式;
(2)已知
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.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/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2395ccadbeb8353ead0d573ca02c25.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3644ba3f31cac865deb13c4b67c2ad.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)
您最近一年使用:0次
2023-07-26更新
|
748次组卷
|
2卷引用:安徽省黄山市2022-2023学年高二下学期期末质量检测数学试题
名校
解题方法
3 . 如图所示,某小区内有
四栋楼,在
栋楼处测得
米,
,
,
,
.
(1)求
两栋楼间的距离;
(2)若小区决定沿
方向取
两点与
建设一个三角形花园,且始终满足
,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3d296e0d7154a170cb7d3ae42989b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4020513c097ba34df4b42e297f892cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6037bba27008abc96a6dba99753549ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d40978fbe52316daaaa6bdbb403fea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72cbf1d3c7a3f743e1d6a1c1ffc4d65.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/29/542fc424-300b-4f4f-8e40-ed9695a77141.png?resizew=165)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)若小区决定沿
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1660e78fa0ebf52a5d9045516422b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
您最近一年使用:0次
2023-07-26更新
|
267次组卷
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2卷引用:安徽省芜湖市2022-2023学年高一下学期期末教学质量统测数学试题
名校
解题方法
4 . 已知
的三个角
的对边分别为
,且满足
,则
的形状为( )
![](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/efd1f1640173d5f41b89a8769f419031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.等腰三角形 | B.直角三角形 | C.等腰直角三角形 | D.等腰或直角三角形 |
您最近一年使用:0次
2023-07-26更新
|
608次组卷
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6卷引用:安徽省芜湖市2022-2023学年高一下学期期末教学质量统测数学试题
安徽省芜湖市2022-2023学年高一下学期期末教学质量统测数学试题北京市第十二中学2024届高三10月月考数学试题(已下线)专题04 平面向量的应用 (1)-【寒假自学课】(人教A版2019)(已下线)专题12 正弦定理-【寒假自学课】(苏教版2019)(已下线)专题04解三角形的7种常考题型归类-《期末真题分类汇编》(北师大版(2019))(已下线)专题06正余弦定理期末9种常考题型归类-《期末真题分类汇编》(人教B版2019必修第四册)
5 . 已知数列
是等差数列,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adc00d60961f3e80e2957865ad33363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
A.9 | B.0 | C.-3 | D.-6 |
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2023-07-25更新
|
936次组卷
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3卷引用:安徽省芜湖市2022-2023学年高二下学期教学质量统测数学试题
安徽省芜湖市2022-2023学年高二下学期教学质量统测数学试题新疆维吾尔自治区喀什地区疏勒县实验学校2023-2024学年高二上学期12月月考数学试题(已下线)专题4.2 等差数列(5个考点八大题型)(1)
解题方法
6 . 为打造美好生态校园,缓解学生的学习压力,培养学生的责任和担当意识,某校北校区拟开设饲养动物的课程.校园内有一块空地
(如图所示),其中
,
.学校拟在空地中间规划动物休息区域
,活动区域
,且
,现需要在
的周围安装防护网.
(1)当
时,求防护网的总长度;
(2)为了节约成本投入,要求动物休息区域
尽可能小,问如何规划,能让
的面积最小?最小面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392269efe6e535e7531c2d9bcf11455a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20858171472224a715ae10f0d1e959e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3991001f80af2716b605efe2d7641d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56150248dd4b787a2013311e4737e93f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a10347f66197ccc693068ca3686e793.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/29/9d65ca87-f1a1-47ed-b86a-68d76a61d3a6.png?resizew=117)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8713f220ac9cf8d5919a1a7d64fe8483.png)
(2)为了节约成本投入,要求动物休息区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
您最近一年使用:0次
解题方法
7 . 已知
四点共圆,且
,则
外接圆的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e8c410ddbd1b98ffa50ead0c6cb554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
8 . “一部剧带火一座城”,五一期间,我市的地标建筑——中国南北分界线雕塑成为了网红打卡地,某校数学课外兴趣小组,拟借助所学知识测量该建筑的高度.记该雕塑的最高点为点A,其在地面的投影点为点H,在点H南偏西60°方向的点B处测得点A的仰角为60°,在点H正东方向的点C处测得点A的仰角为45°,点B,C相距
米,则该雕塑的高度为__________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159275bdfe5f8c345a2ca94488f5edee.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/27/5647aad1-4a03-4f75-be00-7f7f63a21127.png?resizew=385)
您最近一年使用:0次
解题方法
9 . 记
的内角
的对边分别为
,已知
.
(1)求
;
(2)设
边上的高为
,且
,求
面积的最小值.
![](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/c55c2d6765572a01f646a8fcf1b660ee.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
10 . 已知数列
的前
项和为
,若
,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/9eaf5e7f02daeb1ebf769bf54f99040d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b974239feeef71c7cf0f7e93337945.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e6ee78845bac6f736bc9999df3a5bc.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)
您最近一年使用:0次