名校
1 . 在
中,内角
、
、
所对的边分别为
、
、
,
且满足
,若点
是
外一点,
,则四边形
的面积的最大值为( )
![](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/759b29a7b2b3735306f1a650355a7858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe84b51dcd8dd288a347f5f1239095e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612e9b66bf2419b6d97d4b3d931da573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea16ceca816f7d3d50650af141baf42.png)
A.![]() | B.![]() | C.12 | D.![]() |
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2 . 如图,某住宅小区的平面图呈圆心角
为的扇形
,小区的两个出入口设置在点
及点
处,且小区里有一条平行于
的小路
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/f0303d3b-69dc-43d0-bb29-f35d9dd51555.png?resizew=212)
(1)已知某人从
沿
走到
用了
分钟,从
沿
走到
用了
分钟,若此人步行的速度为每分钟
米,求该扇形的半径
的长(精确到
米)
(2)若该扇形的半径为
,已知某老人散步,从
沿
走到
,再从
沿
走到
,试确定
的位置,使老人散步路线最长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49eebe6f8dfb225b51acdb0290bf8ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f57f005a9592ea89ae2a2cee6598c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924497afe7626e8cbad1fb3b9723184f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/f0303d3b-69dc-43d0-bb29-f35d9dd51555.png?resizew=212)
(1)已知某人从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f57f005a9592ea89ae2a2cee6598c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782a7b8656a7ad52519d7f2079ed6114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec00b28e3a25c4025287d877b7483f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49eebe6f8dfb225b51acdb0290bf8ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(2)若该扇形的半径为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fbeb2f1f6ee7279885520d889bfc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f57f005a9592ea89ae2a2cee6598c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2019-07-09更新
|
1179次组卷
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3卷引用:江苏省南京市六校联合体2018-2019学年高一下学期期末数学试题
3 . 已知双曲线
的左、右焦点分别为
,过
作
的渐近线的垂线,垂足为点
,则
的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79e4625a0a98855f764037213fe2337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-07-08更新
|
1586次组卷
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2卷引用:福建省厦门市实验中学2018-2019学年高二第二学期期末理科数学试题
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4 . 在四面体
中,
,
,,当四面体
的体积最大时,其外接球的表面积为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71de9ba8cb08067eaf7cda09db94e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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2019-07-07更新
|
1349次组卷
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2卷引用:湖南省长沙市浏阳市浏阳一中、株洲二中等湘东六校2018-2019学年高二下学期期末数学(文)试题
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解题方法
5 . 已知
分别是
的内角
的对边,
,且
,则
周长的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.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/0a52a56911ecc4926ad468a4de2fb8a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7359fc2c09994eedb4447056ee7ab6cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
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2019-07-02更新
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2336次组卷
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3卷引用:2019年山西省太原市高三模拟试题(二)数学(文史类)试题
2019年山西省太原市高三模拟试题(二)数学(文史类)试题河北省衡水中学2019-2020学年高三上学期六调数学(文)试题(已下线)第六章 6.4.3 第3课时 正弦定理和余弦定理的综合应用(备作业)-【上好课】2020-2021学年高一数学同步备课系列(人教A版2019必修第二册)
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6 . 如图,在矩形ABCD中,边AB=5,AD=1,点P为边AB上一动点,当∠DPC最大时,线段AP的长为__________ .
![](https://img.xkw.com/dksih/QBM/2019/6/17/2227789632307200/2233441887059968/STEM/3143c55b-cd23-4dd2-be0a-14f2778d626a.png?resizew=310)
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7 .
中,
,过点
作
交
于点
,若
,则![](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/e13c772461aef1d9d715129636739748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b455b110a30c1533d0a0657e0e48ac33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def26b3c1c08356f8fa49c85fe19476b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
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8 . 已知
为圆
的一条弦,
为等边三角形,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4133318272b4088b0b1b043d58b771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186b089ab7f74d2b92ee9b556e5e3ca8.png)
A.![]() | B.6 | C.4 | D.![]() |
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9 . 某小区拟对如图一直角△ABC区域进行改造,在三角形各边上选一点连成等边三角形
,在其内建造文化景观.已知
,则
面积最小值为____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def073bb68959ab3befba5c1550eb170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/77f85e2e-b506-417a-9ce8-969772724bdc.png?resizew=173)
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2019-05-29更新
|
1319次组卷
|
2卷引用:【市级联考】贵州省遵义市2018-2019学年高一下学期期中考试数学试题
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10 . 设
的内角
所对的边为
,则下列命题正确的是_____ .
①若
,则
; ②若
,则
;
③若
,则
; ④若
,则
.
![](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)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b489ff67a08117de227196cb06fb6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e5604ce8f1fbcdfe9b42b74cdc9e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8207ff1e1605cd98d48489bedd2a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e5604ce8f1fbcdfe9b42b74cdc9e9d.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f135a4908c208e3f69e0090fc9a667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b28a2f873db9f7ecbe6f2167f31f7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b101ddff0e452d45e49484129e58bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c31b95c668a5bcc8c93479405ca6f0f.png)
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2019-05-17更新
|
1385次组卷
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3卷引用:【校级联考】广东省佛山一中、珠海一中、金山中学2018-2019学年高二下学期期中考试数学(理)试题
【校级联考】广东省佛山一中、珠海一中、金山中学2018-2019学年高二下学期期中考试数学(理)试题上海市西南位育中学2021-2022学年高二下学期期末数学试题(已下线)高二下期末真题精选(易错60题45个考点专练)(高中全部内容)(原卷版)