如图,某校机器人社团需要制作一种四边零件
,要求
,
,
长
厘米,
长
厘米.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/37960b1a-8d0f-47aa-97cc-50a8d6a01a2d.png?resizew=139)
(1)若
,求
的长(结果精确到
厘米);
(2)若要求
,求
的大小(结果精确到
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fc1ba2766874730daaad7d3bb7a8ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a626567510a9d322489719fc57b744cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/37960b1a-8d0f-47aa-97cc-50a8d6a01a2d.png?resizew=139)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97fe729f6099f25634f6e547085d966a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2c4d12b3a705daab723ab243b6cc88.png)
(2)若要求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa39fd2fbd0ffa55a35daeabe70e4eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bc8e50eeccced1d7f3bc52e09a7d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7705384a6eecb13e039f3134e9204e.png)
2018·上海浦东新·三模 查看更多[1]
(已下线)2018年上海市华东师范大学第二附属中学高三三模数学试题
更新时间:2019-12-03 10:35:47
|
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|
适中
(0.65)
【推荐1】在
中,角
的对边分别为
,且满足
.
(1)求
的大小;
(2)若角
的平分线与
相交于
点,
,
,求
的长.
![](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/11b71e884ce300d3b99b7f67eeb2ab3b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc13fe21e64d9b45614ed43be847904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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适中
(0.65)
【推荐2】已知函数
且当
时,
最小值为
.
(1)求函数
的单调减区间;
(2)
的内角
,
,
的对边分别为
,
,
.且满足
,
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e71a20940a5ced717227367538faccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78d56c9b3b889286ea24343c9a4f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](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/fadd2e6f0aa16c2c466c904474ffc79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc6a586628abde414e50b55123ed178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78851fe4b929763a7897417e3ecd054d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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适中
(0.65)
名校
【推荐1】如图所示,某海滨城市位于海岸
处,在城市
的南偏西20°方向有一个海面观测站
,现测得与
处相距31海里的
处,有一艘豪华游轮正沿北偏西40°方向,以40海里/小时的速度向城市
直线航行,30分钟后到达
处,此时测得
、
间的距离为21海里.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/3702d2de-b5fa-4217-89c4-a54714b6348f.png?resizew=163)
(Ⅰ)求
的值;
(Ⅱ)试问这艘游轮再向前航行多少分钟方可到达城市
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/3702d2de-b5fa-4217-89c4-a54714b6348f.png?resizew=163)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395c8d0c2d490ffd4d6aadfb3517f9ec.png)
(Ⅱ)试问这艘游轮再向前航行多少分钟方可到达城市
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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(0.65)
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解题方法
【推荐2】在
中,角A,B,C的对边分别为a,b,c,且
,
,
.
(1)求a,c;
(2)若
,求AD的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e899c486dc49e560fc4aca05e16835b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d7f10d66d4eac99142f24f562466dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
(1)求a,c;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc57614c316ede4c0a0ab3d533e21bd8.png)
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