1 . 如图,测量河对岸的塔高
时,可以选取与塔底B在同一水平面内的两个测量基点C与D.现测得
,
,
米.在点C测得塔顶A的仰角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/11/80d8f4cf-2730-4242-8766-8421fb669be9.png?resizew=205)
(1)求B与D两点间的距离;
(2)求塔高
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f86b0e3bdf0a839629ad01138fc31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d63c381c7fab8b352e3e55cfca0bd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50f4e873779212653bffcc970862402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/11/80d8f4cf-2730-4242-8766-8421fb669be9.png?resizew=205)
(1)求B与D两点间的距离;
(2)求塔高
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
名校
解题方法
2 . 在
中,角
的对边分别为
,且
.
(1)求角
的大小;
(2)若
,求
周长
的取值范围.
![](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/48ece733f5cf3276f82a4092062a6fe8.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
3 . 已知椭圆
的左、右焦点是
,且以
为直径的圆的面积为
,点P是椭圆C上任一点,且
的面积的最大值为
.
(1)求椭圆C的方程;
(2)若直线l与椭圆C交于A,B两点,且原点O到直线l的距离为1,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆C的方程;
(2)若直线l与椭圆C交于A,B两点,且原点O到直线l的距离为1,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2022-12-25更新
|
1374次组卷
|
6卷引用:云南省昆明市云南师范大学附属中学2023届高三上学期月考(六)数学(理)试题
名校
4 . 已知在
中,D为
边上的一点,且满足
.
(1)若
,求
;
(2)求
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff214d99784c6b23b7784bdaf3ed37a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6076b63f816928e6d8198bc998d4acad.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9a872a0d18408b9b541f3e5ba462a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b296199d20cba329efb375f239cf9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f3ff8aa8ec0c9dd40597c917564916.png)
您最近一年使用:0次
2022-10-20更新
|
775次组卷
|
2卷引用:云南师范大学附属中学2023届高三上学期第四次月考数学试题
22-23高三上·四川·阶段练习
名校
解题方法
5 . 如图,某菜农有一块等腰三角形菜地,其中
,
米.现将该三角形菜地分成三块,其中
.
![](https://img.xkw.com/dksih/QBM/2022/10/13/3086739334479872/3088306730713088/STEM/993b986ca3c84604a6d80a2dc1e40313.png?resizew=216)
(1)若
,求
的长;
(2)求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86c589939053ce21ce0a67cf40054a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55d2649a844e8619de4663a03c233f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16d84bc57102fb66122cfb54d763218.png)
![](https://img.xkw.com/dksih/QBM/2022/10/13/3086739334479872/3088306730713088/STEM/993b986ca3c84604a6d80a2dc1e40313.png?resizew=216)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499c4e9eda4fc946d0195adc93a9d82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
您最近一年使用:0次
2022-10-15更新
|
1020次组卷
|
7卷引用:云南省部分重点中学2023届高三上学期10月份月考数学试题
名校
解题方法
6 . 如图,为方便市民游览市民中心附近的“网红桥”,现准备在河岸一侧建造一个观景台
,已知射线
,
为两边夹角为
的公路(长度均超过3千米),在两条公路
,
上分别设立游客上下点
,
,从观景台
到
,
建造两条观光线路
,
,测得
千米,
千米.
![](https://img.xkw.com/dksih/QBM/2022/9/28/3076088093949952/3076198236356608/STEM/66f18bd0cb994d759de5d18ee4eba955.png?resizew=198)
(1)求线段
的长度;
(2)若
,求两条观光线路
与
所围成
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a41ab3f009c5d181f016a5613aecdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0812fad5fa00c2871b318bc9e8f08b.png)
![](https://img.xkw.com/dksih/QBM/2022/9/28/3076088093949952/3076198236356608/STEM/66f18bd0cb994d759de5d18ee4eba955.png?resizew=198)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add60595ecea5d00ff1fbb2a5409be73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
您最近一年使用:0次
2022-09-28更新
|
1106次组卷
|
5卷引用:云南省大理市下关第一中学教育集团2022~2023学年高二上学期段考(二)数学试题(A卷)
名校
解题方法
7 . 在
中,内角A,B,C对应的边分别为
,
,
,已知
.
(1)求角B的大小;
(2)若
,
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/4b0b96769e6f2eaee06a5caa475df028.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802e162b98c280720fcb909cf392fda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
您最近一年使用:0次
2022-09-26更新
|
1889次组卷
|
9卷引用:云南省保山市高(完)中C、D类学校2022-2023学年高二上学期10月份联考数学试题
云南省保山市高(完)中C、D类学校2022-2023学年高二上学期10月份联考数学试题广东省增城区四校2021-2022学年高一下学期期中联考数学试题陕西省咸阳市武功县普集高级中学2022-2023学年高二上学期第一次月考数学试题(已下线)第04讲 正弦定理和余弦定理 (高频考点—精讲)-3陕西省咸阳市武功县2022-2023学年高二上学期期中理科数学试题陕西省咸阳市武功县2022-2023学年高二上学期期中文科数学试题四川省资中县第二中学2022-2023学年高三上学期11月月考理科数学试题广东省茂名市信宜市第二中学2022-2023学年高一下学期期末数学试题广东省东莞市石龙中学2022-2023学年高一下学期3月月考数学试题
名校
8 . 在
中, 角
成等差数列, 角
所对的边分别为
.
(1)若
, 求
的值;
(2)若
, 判断
的形状.
![](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/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dfbbaa168a7cee620726c228c027cca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcb4a9ad7a69c01bb0652cbdf7efe62d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab46b3b061b35604f6c085065a7ad0cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2022-09-23更新
|
831次组卷
|
2卷引用:云南师范大学附属中学2023届高三上学期适应性月考卷(三)数学试题
名校
9 . △ABC中,内角A,B,C的对边分别为a,b,c,且△ABC的外接圆半径R满足
.
(1)求角C;
(2)若
,求△ABC周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa19b36c20ab7b0380676ccbeaee0a38.png)
(1)求角C;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
您最近一年使用:0次
2022-09-13更新
|
1694次组卷
|
10卷引用:云南省昆明市第一中学2022-2023学年高二上学期期中考试数学试题
云南省昆明市第一中学2022-2023学年高二上学期期中考试数学试题云南省临沧市民族中学2022-2023学年高二上学期期中数学试题河南省豫东名校2022-2023学年上学期新高三摸底联考理科数学试题河南省豫东名校2022-2023学年上学期新高三摸底联考文科数学试题(已下线)第04讲 正弦定理和余弦定理 (高频考点—精讲)-3宁夏六盘山高级中学2023届高三(提升班)上学期第一次月考数学(文)试题四川省双流中学等学校2023届新高三摸底联考理科数学试题云南省宣威市第三中学2023-2024学年高二上学期第二次月考数学试题云南省昆明市第一中学2023-2024学年高二上学期11月期中考试数学试题河南省信阳市宋基信阳实验中学2023-2024学年高二上学期期末复习数学测评卷(五)
解题方法
10 .
的内角
的对边分别为
,且
.
(1)求角
;
(2)若
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6301411beb7f5f93be9b5cc563bbd3f3.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次