名校
解题方法
1 . 如图,在扇形
中,
,半径
,
为弧
上一点,
是线段
上异于点
、
的一个动点.
(1)若
在
上的投影不小于2,求
的取值范围;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff5c21185c13eae675906dabd3593c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50bf7d7fa347c09dedde116bb787a3c7.png)
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a046d7060dc843c78af806ee24f556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af18d542323baacfa180004c3449dc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc7764d625d4c6c07e4946678cbee74.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
您最近一年使用:0次
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2 . 我们可以利用向量知识求一些三角式的值.比如,在平面上有一边长为1的正五边形
,边长
与数轴l成
角,顶点A、B、C、D、E在数轴l上的垂直投影分别
.可以通过计算:
,
的值来计算
的值.大家可以通过上述提示,利用向量计算下面代数式的值:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36581140ebac5d28438ea63b1b23b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72414fd36f9f6b2c58a7380c6036fabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13c8af551c0d4f83a9069a52857ee92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187c6bb02ba40b442af411fbb878c387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c04ae5c852a85d05522061be42e9ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87af3d7dae41121167bb3d4a9f72cbc5.png)
您最近一年使用:0次
2022-04-01更新
|
355次组卷
|
2卷引用:上海交通大学附属中学2021-2022学年高一下学期3月线上测试数学试题(2)
名校
3 . 已知点
、
、
.
(1)若点
在第二或第三象限,且
,求
的取值范围;
(2)若
,
,
,求
在
方向上投影的取值范围;
(3)若
,求当
,且
的面积为
时,
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24705e5759ac944559f305c694c9f6d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091acaf5c3cbe20a5fff598323dc82be.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af733c6432ce382a8a3fc19ef315ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7556b085ed721d309c3376bf5e16ad21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1348dbdeba99934acf4cf5bc6b3bc5a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00da1c29aea46e36cda0f5780966bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe35c91649a5bea2518387a2b36e0c0d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b0b9a2c33a6b08e739435fc55e0f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c747e93ed8de8ad9b477e9c08c84441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4201d3bead2e48cc80052b1418f23db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
您最近一年使用:0次
2019-11-13更新
|
246次组卷
|
2卷引用:上海市上海交通大学附属中学2016-2017学年高二下学期期中数学试题