名校
解题方法
1 . 已知
的内角A,B,C所对的边分别为a,b,c,设向量
,
,且
.
(1)求角C;
(2)若
,
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718494e04b72315d49308092c96224f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1693b9e15116370d1a280ff4f0ebc3e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a53cdfd02f840f55c72dbb4d0607c1.png)
(1)求角C;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189730bce62734abf57f76454e1b70e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7卷引用:辽宁省朝阳市建平县实验中学2023-2024学年高二上学期期末考试数学试题
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2 . 如图,在四棱锥
中,四边形
是菱形,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/f3a6b22b-d1a0-40f1-9c9c-6ffb655cd8cd.png?resizew=170)
(1)证明:平面
平面
.
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917059c4d68de6935b5b010edd3b2efb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/f3a6b22b-d1a0-40f1-9c9c-6ffb655cd8cd.png?resizew=170)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b31c44f920e6e09b02f03ec82ef843.png)
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2024-03-03更新
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2卷引用:陕西省部分学校2023-2024学年高二下学期开学摸底考试数学试卷
名校
解题方法
3 . 设a,b,c分别为
内角A,B,C的对边,已知
,
.
(1)求A的值;
(2)若
,
,求c的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621f0f565c473d7f14a912acd2191e66.png)
(1)求A的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d253dd9af597ae29b98628f185eb447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0786732df29e599cd67cd69e5a1a5f.png)
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2024-03-03更新
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4卷引用:贵州省贵阳市清华中学2023-2024学年高二下学期4月月考数学试题
名校
解题方法
4 . 在锐角
中,角A,B,C所对的边分别为a,b,c.已知
且
,
.
(1)求角B及边b的大小;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e3f00ee305becb06619044abfcbee5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa602b8cb1786ea72753a5229bd2e4b9.png)
(1)求角B及边b的大小;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d97993e8f9ff4eef6a398ba8c56e4a3.png)
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3卷引用:四川省德阳市什邡中学2023-2024学年高二下学期4月月考数学试题
四川省德阳市什邡中学2023-2024学年高二下学期4月月考数学试题山东省日照市2024届高三下学期一模数学试题(已下线)专题1.12平面向量及其应用-重难点突破及混淆易错规避(人教A版2019必修第二册)
名校
解题方法
5 . 如图,在
中,内角
所对的边分别为
,且
,
,
为
所在平面内一点,且
,
,
为锐角.
,求
;
(2)若
,求
.
![](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/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d227d941a96a3b3ee2e885e279401e3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b58bbc02479917ad761a24eaae0dbfd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b9a5e110c068c60dd41f95bce4ab1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bebb16c0ffc99a945619ae0986cadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634288e3d200ff3ca4574f1bd4435bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310580166942baf8aa5c69a12e962678.png)
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2024-03-02更新
|
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5卷引用:广东省广州市第六中学2023-2024学年高二下学期3月测验数学试题
广东省广州市第六中学2023-2024学年高二下学期3月测验数学试题河南省信阳市浉河区信阳高级中学2023-2024学年高三下学期2月月考(高考模拟卷(二))数学试题(已下线)专题1.11解三角形常考大题归类-重难点突破及混淆易错规避(人教A版2019必修第二册)吉林省通化市梅河口市第五中学2023-2024学年高一下学期4月月考数学试题(已下线)专题10 必备知识与常规问题(解答题15)
名校
解题方法
6 . 已知
的内角
的对边分别为
,且
.
(1)求角
;
(2)设
是边
上一点,
为角平分线且
,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/44268d7fff237896cd360373b6a988e3.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f157aab917082b835f4213ed81a3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32f2d4d1d2c16c54b2caef17840bfcb.png)
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6卷引用:河南省信阳市信阳高级中学2023-2024学年高二下学期易错题回顾测试(开学)数学试题
河南省信阳市信阳高级中学2023-2024学年高二下学期易错题回顾测试(开学)数学试题山西省2023-2024学年高二上学期1月期末质量检测数学试题(已下线)专题2 解三角形(期中研习室)(已下线)模块三 专题2 解答题分类练 专题3 解三角形(解答题)(已下线)模块三 专题2 解答题分类练 专题4 解三角形(解答题)(已下线)第九章:解三角形章末重点题型复习--同步精品课堂(人教B版2019必修第四册)
名校
7 . 如图,
为正方形,
,点
为直角坐标平面内的一点,
为线段
的中点,设
.
的坐标;
(2)求
的表达式;
(3)当
取最大值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79e861bb47b61fa224d9f95091e5103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7056fe1bf568ff3e0c398bcc7a89e293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3080c6aeb9eee2ba1adb83a8947bc5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e1d3f78a802596b825166767ceee40.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e1d3f78a802596b825166767ceee40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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3卷引用:湖南省岳阳市平江县第三中学2023-2024学年高二普通高中学业水平合格性考试仿真模拟(专家卷四)数学试题
湖南省岳阳市平江县第三中学2023-2024学年高二普通高中学业水平合格性考试仿真模拟(专家卷四)数学试题安徽省合肥市第一中学2023-2024学年高二下学期学业水平考试数学模拟卷(已下线)高一下学期期中复习解答题压轴题十八大题型专练(1)-举一反三系列(人教A版2019必修第二册)
名校
解题方法
8 . 记
的内角
的对边分别为
,已知
.
(1)若
,求
;
(2)若
,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/e7e66c4b494adf85f346829ee2fd7118.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c047ca92e149ee8544a54a1f19cf1a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679a95158ae16c0c7adc264080cf151e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f46ba15f631202c5904960a10572c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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|
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3卷引用:山西省晋城市第一中学校2023-2024学年高二下学期第二次调研考试数学试题
名校
9 . 在平面直角坐标系
中,已知直线
,曲线
的参数方程为
(
为参数).以原点
为极点,
轴正半轴为极轴,建立极坐标系,直线
的极坐标方程为
.
(1)求曲线
和直线
的极坐标方程;
(2)若直线
与曲线
分别交于
两点,直线
与曲线
分别交于
两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03ae8e1a02bbfdf25103dfe24acf42b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b9e6d0457b48516b160af950adf49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11408ee929a4c7cc49cfbf661f7a9da.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9cda46e575acf64941ea0964b89ee99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc62c28c53286cd17e9eb997af7221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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10 . 将函数
的图象上所有的点向左平移
个单位长度得到函数
的图象.求:
(1)
的值;
(2)
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b342a9161e2e1ea07acdadc8dcb1f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ac3e1432957734d372d8485fb84de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ea179ca8fbc5b00f57941185987eb4.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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