名校
解题方法
1 . 已知在
中
,则
的面积为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d269933ac7ea22f98de9f0df48d264da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
2 . 在
中,角
,
,
的对边分别为
,
,
,若
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e1bd4f72b3edd9647378d1191857fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
您最近一年使用:0次
2021-08-09更新
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434次组卷
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3卷引用:四川省成都市蓉城名校联盟2020-2021学年高一下学期期末联考理科数学试题
名校
解题方法
3 . 已知正三棱柱
的侧棱长为4,底面边长为
,且它的六个顶点均在球
的球面上,则球
的体积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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2021-08-08更新
|
773次组卷
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7卷引用:四川省成都外国语学校2021-2022学年高二上学期入学考试数学(理)试题
四川省成都外国语学校2021-2022学年高二上学期入学考试数学(理)试题四川省成都外国语学校2021-2022学年高二上学期入学考试数学(文)试题上海市虹口区2020-2021学年高二下学期期末数学试题(已下线)专题8.2 空间几何体的表面积和体积(讲)- 2022年高考数学一轮复习讲练测(新教材新高考)四川省眉山市第一中学2021-2022学年高二上学期9月月考文科数学试题(已下线)专题33空间几何体的表面积与体积-2022年(新高考)数学高频考点+重点题型宁夏吴忠市2022届高三一轮联考数学(理)试题
4 . 已知在锐角
中,角
,
,
的对边分别为
,
,
,
同时满足下列
个条件中的三个:①
,②
,③
,④
.
(1)指出这三个条件,并说明理由;
(2)求边长
和三角形的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f85678de64dcc06b3efcdb6a127170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa602b8cb1786ea72753a5229bd2e4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd24ce14590f71651a38ccb3a8b0ed53.png)
(1)指出这三个条件,并说明理由;
(2)求边长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbff84327e964f912a54032e76ccc9.png)
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名校
5 . 在
中,角
,所对的边分别为
,已知
,
,
,则
边上的中线长![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1ec9c5eaed4c211a040a2a33fb7c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
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2021-08-04更新
|
343次组卷
|
3卷引用:四川省成都外国语学校2021-2022学年高二上学期入学考试数学(文)试题
四川省成都外国语学校2021-2022学年高二上学期入学考试数学(文)试题重庆市清华中学2020-2021学年高一下学期第一次月考数学试题(已下线)考点15 正、余弦定理及解三角形-备战2022年高考数学一轮复习考点帮(浙江专用)
名校
6 . 如图,已知正四棱锥
与正四面体
所有的棱长均为
.
![](https://img.xkw.com/dksih/QBM/2021/7/8/2759751319707648/2777760744325120/STEM/ede128cb-f7cd-45e0-b834-efbf130c4aef.png?resizew=477)
(1)若
为
的中点,证明:
平面
;
(2)把正四面体
与正四棱锥
全等的两个面重合,排成一个新的几何体,问该几何体由多少个面组成?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858d5bfe390d0cb79cee200241240a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/2021/7/8/2759751319707648/2777760744325120/STEM/ede128cb-f7cd-45e0-b834-efbf130c4aef.png?resizew=477)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca6d50356a01ae13936f1bd8efa94c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb304d905125170bebfada27e7ed8960.png)
(2)把正四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858d5bfe390d0cb79cee200241240a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
您最近一年使用:0次
2021-08-02更新
|
896次组卷
|
3卷引用:四川省成都第七中学2021-2022学年高二上学期入学数学(理科)试题
2022高三·全国·专题练习
名校
解题方法
7 . 在
中,角
,
,
的对边分别为
,
,
,若
,
,则
面积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad422f46c6229d6c0b2df9352c4f9de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c807609a6a4a9008e66723409f23ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.1 | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
2021-07-31更新
|
1408次组卷
|
7卷引用:四川省成都市蓉城名校联盟2020-2021学年高一下学期期末联考理科数学试题
四川省成都市蓉城名校联盟2020-2021学年高一下学期期末联考理科数学试题湖南省长沙市明达中学2020-2021学年高二下学期入学考试数学试题(已下线)专题6.11 解三角形综合练习(二)-2022届高三数学一轮复习精讲精练(已下线)增分专题二 解三角形范围与最值问题湖南省长沙麓山国际实验学校2022-2023学年高二上学期入学考试数学试题湖南省长沙市明德中学2022-2023学年高二上学期入学考试数学试题河南省禹州市北大公学禹州国际学校2022-2023学年高二上学期开学考试数学试题
8 . 成都市为迎接2022年世界大学生运动会,需规划公路自行车比赛赛道,该赛道的平面示意图为如图的五边形
,根据自行车比赛的需要,需预留出
,
两条服务车道(不考虑宽度),
,
,
,
,
为赛道,
,
,
,
.注:
为千米.
![](https://img.xkw.com/dksih/QBM/2021/7/27/2773464684183552/2775955893829632/STEM/469aa52c9ba54c88bad18e6bd46594df.png?resizew=208)
(1)若
,求服务通道
的长;
(2)在(1)的条件下,求折线赛道
的最长值(即
最大).(结果保留根号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b496737614e6d3b823e5a28f245c4636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d8332bf70ea360b452b85e20a7d081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5195a231802caa64e45806f233ac2d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635f7d1535df78e526a904b627e43ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://img.xkw.com/dksih/QBM/2021/7/27/2773464684183552/2775955893829632/STEM/469aa52c9ba54c88bad18e6bd46594df.png?resizew=208)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aaf727cca163a124d70f055f3cb45dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)在(1)的条件下,求折线赛道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfda5a702b4667cf789a826677a1e20.png)
您最近一年使用:0次
名校
9 . 在四边形
中,
,
,
,
,
,
,则对角线
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f144992e1cbee34868abce1e5ad38c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddda8bee262f17d51ee3d70cf63d6b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3432b3b7559ceb4cb80c6069291ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd99a6862833b220a7371852a3570bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2021-07-19更新
|
356次组卷
|
3卷引用:四川省成都市蓉城名校联盟2020-2021学年高一下学期联考文科数学试题
名校
解题方法
10 . 若不等式
对于任意△ABC恒成立,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b048fa1b3bfa397e92c6cd1c5b29640d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c37241f7314f498fca7a32e77789f5.png)
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2021-07-18更新
|
237次组卷
|
3卷引用:四川省成都外国语学校2021-2022学年高二上学期入学考试数学(理)试题