解题方法
1 . 如图,四边形
中,
且
,则四边形
面积取最大值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11179b675caa736a18353c9ce8d36817.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e832fee9bbbd6dddbf1f006e6b1ebc6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11179b675caa736a18353c9ce8d36817.png)
![](https://img.xkw.com/dksih/QBM/2022/5/7/2974093471080448/2974206083252224/STEM/99ed3154-8008-498b-b6e4-907adb310752.png?resizew=174)
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3卷引用:新疆生产建设兵团第六师五家渠高级中学2023届高三下学期2月月考数学(理)试题
新疆生产建设兵团第六师五家渠高级中学2023届高三下学期2月月考数学(理)试题浙江省新昌天台临海三地2022届高三下学期5月适应性考试数学试题(已下线)文科数学-2022年高考考前20天终极冲刺攻略(三)
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解题方法
2 . 已知
的内角
所对的边分别为
且
.
(1)求角
的大小;
(2)若
,求
的面积的最大值.
![](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/7efeddd108657a6aec85568ad42f588f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5338d6be14c7c3f28ce30be8e1c1db8.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019eb94a6a2b38308811470d860e1a20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
3 . 如上图所示,在平面四边形
中,
是等边三角形,
,
,
,则
的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adce79579360c94699123b74bb2795ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e90f9f4e44173888a54c624852064a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/21/48e9fb37-da31-4fa9-8a6b-d501c0bf1881.png?resizew=105)
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2卷引用:新疆维吾尔自治区乌鲁木齐市第101中学2023届高三上学期12月月考文科数学试题
4 . 在
中,
,
.
(1)求
的值.
(2)设
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2da0a7f2e780514805326ea959f77d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55493e331f88d3d1c396e92b46c97ecd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32e2f2d7147cf1699fbfdef9cf4af74.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7卷引用:新疆昌吉州行知学校2019-2020学年高三上学期第二次月考数学(文)试题
新疆昌吉州行知学校2019-2020学年高三上学期第二次月考数学(文)试题重庆市国维外国语学校2020-2021学年高二上学期第一次月考数学试题山西省晋中市现代双语学校2021-2022学年高一下学期三月份阶段考试数学试题2008 年普通高等学校招生考试数学(文)试题(大纲卷 Ⅱ)湖南省益阳市箴言中学2018-2019学年高二上学期期中考试数学(文)试题甘肃省白银市会宁县第二中学2018-2019学年高二上学期期中数学试题(已下线)第6章 平面向量及其应用 综合 (练案)-2021-2022学年高一数学同步备课 (人教A版2019 必修第二册)
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5 . 在△ABC中,a,b,c为∠A,∠B,∠C的对边,
,
,
,则C的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6e509f90d6a5e5d544d098e408f9ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54a36173cd9b7b28e91619d715cb569.png)
A.30° | B.60° | C.120° | D.60°或120° |
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6 . 如图,在△
中,
,
,点
,
是线段
(含端点)上的动点,且点
在点
的右下方,在运动的过程中,始终保持
不变,设
.
![](https://img.xkw.com/dksih/QBM/2022/4/18/2960911885328384/2961554568486912/STEM/6761cbf9a102440b9449deae1f269e8b.png?resizew=150)
(1)写出
的取值范围,并分别求线段
,
关于
的函数关系式;
(2)求△
面积
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a566b100fb2ebe3d208f9b6527934218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d944d8b79ed0da006b19277550d6ff7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0cf054e01d671fd082d0e92c4d44704.png)
![](https://img.xkw.com/dksih/QBM/2022/4/18/2960911885328384/2961554568486912/STEM/6761cbf9a102440b9449deae1f269e8b.png?resizew=150)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求△
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38a6341dbb03ec2c0c10e5353a07c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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7 . 在锐角
中,内角A,B,C的对边分别为a,b,c,
.
(1)求A;
(2)若D为BC的中点,且△ABC的面积为
,
,求AD的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759ddd6f63c6f242e9b404ac54f573ee.png)
(1)求A;
(2)若D为BC的中点,且△ABC的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
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3卷引用:新疆石河子市第一中学2022届高三10月月考数学(理)试题(A部 )
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8 . 在
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0e83f3d22bdf28826fc2b04cf4cd91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbaecd83b7344f11fa39116a440e7165.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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新疆乌鲁木齐市第四十中学2023届高三下学期3月月考文科数学试题上海市进才中学2021-2022学年高二下学期3月月考数学试题(已下线)第01讲 余弦定理-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)
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9 .
的内角
的对边分别为
.若
,
,
,则
的面积为( )
![](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/82986ab38a4ae58593191ccae2a44f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8242f3a6a00149f6211bfce2dfc5c4ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b1dd07c0571772e96d318f974724810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 如图,四边形ABCD是圆柱的轴截面,
,O分别是上、下底面圆的圆心,EF是底面圆的一条直径,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/c5c9bfff-a4f4-4a38-b1db-8604bc8efcce.png?resizew=168)
(1)证明:
.
(2)若
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7faabc484ce3666706c1beffda4bcfe2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/c5c9bfff-a4f4-4a38-b1db-8604bc8efcce.png?resizew=168)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab00e0cff0876c4183a47f1272cf9928.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0573047d36d2945d6e474bdf051db1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec66c1d36c6c2be3d3fc4519dfca195e.png)
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