解题方法
1 . 在①
,②
,③
这三个条件中任选一个,补充在下面问题中,并加以解答.
问题:在
中,内角
的对边分别为
,若
,___________,求
的面积.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b44fba6600c6b0ab402f71a5c4a8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cf39c8d4c3b506d7f0c2c6b3a00bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8e9bf8258f588a4442c4c4142f9e4e.png)
问题:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e2557d6c0eeb8e56c84db1c4931c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13a05f5aca98574bb1f927123490de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279c074f796ed9069b67b6b184deab9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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2 . 设
.证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ccb525a7fe868ccc70fac5002010e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5271eeb1014f592947f2436a80fcc0d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f8124e037e26ce132fe894690597d9.png)
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名校
3 . 如图,在三棱锥
中,
底面
,
,
,
,
,
,
分别是
上的三等分点,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/a2047c84-fd12-4150-babc-901a1976d2ff.png?resizew=121)
(1)证明:
平面
;
(2)求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85aeab3aeaf4367b711da8cde2e8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5a86745bfe1dfe7bc2683811210330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/a2047c84-fd12-4150-babc-901a1976d2ff.png?resizew=121)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa3254460ecbacecb3e57c5dce227f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
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2022-10-14更新
|
784次组卷
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8卷引用:安徽省合肥市庐江县第五中学(庐巢八校联考)2022-2023学年高二上学期12月月考数学试题
名校
解题方法
4 . 在
中,内角A,B,C所对的边长分别为a,b,c,且
.
(1)求
;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f17a6519eb13c559994b34a0525dcc0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c181f86de3c96a7ef7a1a04c3a438f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1e21c830046381175ffa2386e09591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2022-10-13更新
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813次组卷
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4卷引用:安徽省部分省示范中学2022-2023学年高二上学期阶段性联考数学试题
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解题方法
5 . 如图,在梯形
中,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/d77b37d8-e2cb-4071-adf3-9baaa69b5765.png?resizew=222)
(1)若
,求
周长的最大值;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd0e8f705192e7012805abde99adb2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/d77b37d8-e2cb-4071-adf3-9baaa69b5765.png?resizew=222)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1161e0345b3646c71365430dccbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d40978fbe52316daaaa6bdbb403fea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168bcd54c4f609a9562c2d7b4715aa4b.png)
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2022-10-11更新
|
1455次组卷
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6卷引用:安徽省南陵中学2023-2024学年高二上学期第一次诊断练习数学试题
安徽省南陵中学2023-2024学年高二上学期第一次诊断练习数学试题安徽省示范高中2022-2023学年高三上学期第二次联考数学试题(已下线)专题4-3 三角函数与解三角形典型大题归类-2(已下线)6.4.2 平面向量的应用(精讲)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)第09讲 解三角形中解答题4种基础题型江苏省扬州中学2022-2023学年高一下学期3月月考数学试题
名校
6 . 在
中,角
的对边分别为
.
(1)求角
的大小;
(2)若
的面积为
,求
外接圆的半径.
![](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/bf70ed1afcb9f8008dda52a33be44165.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1f8e31a86393714dbba3ba194ec95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
7 . 已知函数
图像的一部分如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/29/9f2464ab-9d37-4ae1-af29-9b32730511af.png?resizew=198)
(1)求函数
的解析式;
(2)令
,其中
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c91ce19a9f7b386959b92fadff3e171.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/29/9f2464ab-9d37-4ae1-af29-9b32730511af.png?resizew=198)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb0ab53fc755cae67fe331f8fd6e7cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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8 . 在
中,内角
的对边分别为
,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c13ff58caae7d52a5f8ce9ac558aa9.png)
,
(1)求
的值
(2)求
的值
![](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/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c13ff58caae7d52a5f8ce9ac558aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2269b631c107dac71805624b046f1a8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ac7f4e06fa3ed9ced34535f177976f.png)
您最近一年使用:0次
2022-09-19更新
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253次组卷
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4卷引用:【校级联考】安徽省阜阳三中2018-2019学年高二上学期第一次调研考试数学(文)试题
名校
9 . 已知空间向量
与
夹角的余弦值为
,且
,
,令
,
.
(1)求
,
为邻边的平行四边形的面积S;
(2)求
,
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1145c162038df3c7184d9201c628e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a158053aadcd71021b5d7d3c6e6c4f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e14ea1fefd0a95eec8f53bf331dd4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a8092e54ed8caec9e16976a45fd318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340f746ab1e2dbe9c35f0df3ce43ce4f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759bc4eeb0c937af667093c416ed83bc.png)
您最近一年使用:0次
2022-09-11更新
|
613次组卷
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9卷引用:安徽省滁州市定远中学2021-2022学年高二上学期10月月考数学试题
安徽省滁州市定远中学2021-2022学年高二上学期10月月考数学试题福建省三明市第二中学2022-2023学年高二上学期开学适应性练习数学试题河北省石家庄市十五中2022-2023学年高二上学期第一次月考数学试题(已下线)6.1.2 空间向量的数量积(练习)-2022-2023学年高二数学同步精品课堂(苏教版2019选择性必修第二册)江苏省淮安市洪泽湖高级中学2022-2023学年高二下学期第一次月考数学试题(已下线)6.1.2空间向量的数量积(2)陕西省铜川市宜君县高级中学2022-2023学年高二上学期第二次月考理科数学试题河南省洛阳市宜阳县第一高级中学2022-2023学年高一上学期清北园第五次能力达标检测数学试题河南省洛阳市宜阳县第一高级中学2022-2023学年高一上学期第五次月考数学试题
解题方法
10 . 如图,在四边形
中,
,
,
是以
为直角顶点的等腰直角三角形,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dbf87001701de5be218caf3a6e9ee8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/5/299eadc7-5096-40d7-9ceb-99d2343a12b7.png?resizew=146)
(1)当
时,求
及
;
(2)当四边形
的面积取最大值时,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e530783dc49238736ed5c1157e6184dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb689a793465929f004e561242fa993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dbf87001701de5be218caf3a6e9ee8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/5/299eadc7-5096-40d7-9ceb-99d2343a12b7.png?resizew=146)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681077edb0cfd0f521172ef20889aeb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba1883c53ebf30a9e53e9b7f3bce4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)当四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
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