解题方法
1 . 为扎实推进美丽中国建设,丰富市民业余生活,某市计划将一圆心角为
,半径为R的扇形OAB空地(如图),改造为市民休闲中心,休闲中心由活动场地和绿地两部分构成,其中活动场地是扇形的内接矩形,其余部分作为绿地.设点P为
上异于A,B的动点.请以点P为内接矩形的一个顶点设计出两种不同的规划方案,并分别求出这两种方案的活动场地面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://img.xkw.com/dksih/QBM/2022/7/3/3014579219800064/3014882176196608/STEM/dd51eae462c94912b13649b3caf6452e.png?resizew=265)
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2 . 角θ=
,则依照弧度定义,圆周角360°=2π,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd29d65ee4d4fdc38a41d9d6e533c83.png)
A.θ=-150° | B.θ=-210° | C.150° | D.210° |
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名校
3 . 家有重物,爸、妈、孩三人合力拉拍,用力依次为
,三个力的方向两两成60°角,大小依次为3,2,1,在这三个力的共同拉抬下,重物恰好被沿竖直方向抬离地面.
(2)求孩子用力方向与竖直方向所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363db5fcc6491164a12ded4edce231b8.png)
(2)求孩子用力方向与竖直方向所成的角.
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2021-09-02更新
|
245次组卷
|
4卷引用:上海市复旦大学附属中学2020-2021学年高二下学期期中数学试题
上海市复旦大学附属中学2020-2021学年高二下学期期中数学试题沪教版(2020) 必修第二册 同步跟踪练习 第8章 8.3-8.4阶段综合训练(已下线)重难点01平面向量的实际应用与新定义(2)(已下线)模块三 专题2 解答题分类练 专题5 三角函数与平面向量的实际应用(解答题)(北师大版高一期中)
4 . 如下图所示,某公司计划建造一座滨海公园,直线
与
均为海岸沿线,
是以
为直角的直角三角形,线段
为“滨海栈桥”,线段
将建成“阳光沙滩沿线”,线段
将建成“灯塔沿线”.现要求“滨海栈桥”长度维持在
不变的基础上,可适当调整“阳光沙滩沿线”与“灯塔沿线”的设计长度
.预计建成后,每
“阳光沙滩沿线”可让公司日均盈利
万元,每
“灯塔沿线”可让公司日均盈利
万元,为使公司日均盈利最大,则应将“灯塔沿线”设计为_________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97285f9b02878e22a071e97fdb3f8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783a33f7abced858361ee222f26d2543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3f410ce8d064f830e6b7a1ce9e3832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1890f0b4e81634bb7e013412698640f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1890f0b4e81634bb7e013412698640f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
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5 . 满足
的x的取值范围______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6db4e65470bc08f1c8528560e377bb0.png)
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解题方法
6 . 如图,
为
的重心,
分别为
上的动点,且线段
经过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7170bb4a2ddcef39391a06c989162.png)
![](https://img.xkw.com/dksih/QBM/2021/4/6/2693988590878720/2800775601700864/STEM/3bd9a62e-2c61-4241-a825-a7a44d4bf576.png?resizew=285)
(1)若
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ba239cbf38596abf32bfbedf66afd.png)
(2)若
,求
的最小值及取最小值时
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7170bb4a2ddcef39391a06c989162.png)
![](https://img.xkw.com/dksih/QBM/2021/4/6/2693988590878720/2800775601700864/STEM/3bd9a62e-2c61-4241-a825-a7a44d4bf576.png?resizew=285)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7dbaf678b4994d3f9464e31b87dbb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ba239cbf38596abf32bfbedf66afd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462caa57f8e387189476b032e10926d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79dd1b99a422eebcf5ce1568a84aae33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b5a51e65e9b56a9970de33ead263a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
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2021-09-04更新
|
244次组卷
|
2卷引用:河北省邢台市2020-2021学年高一下学期第一次月考数学试题
解题方法
7 . 设
,
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1465f47732e556bdc4007cdc18860a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6672ec34a5d4a617075441479d2013.png)
A.![]() ![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.对于![]() ![]() ![]() |
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8 . 若
且
,则可以记
;若
且
,则可以记
.实数
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4cb006b7daecb17ac4973f827b85b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02b79e4546cb8ace8300116f3bce7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8222f6d4f2bc82054606f0d05f20ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281c0a16f5712939a0c60e755a711066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f2a42c9ad8227eec0904b27e2240c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a461bf4e6ff8bc12fc81f0e89ee36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f008e9e83a01060c8c746796094336d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5356108a10c159f8baf03dca2157f7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad319ecfd5176485f778566f04fdf573.png)
( )
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 如图,一块斜边长为
的直角三角尺,其中一个内角为
,把该角立在桌面上,使得斜边所在的直线与桌面所在的平面所成的角为
,再绕其斜边旋转,则直角顶点到桌面距离的最大值为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86cacebfac933f2d9894147286bdd4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/85482535-6f9f-4120-ac44-44c9ea1dcd60.png?resizew=176)
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解题方法
10 . 在平面直角坐标系中,O为坐标原点,
,互不相同的点
满足
,记
,且
,若点
均在同一函数图像上,则下列满足条件的可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839b0633ca1fb7245db4c1a0e3241ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8577d32cc9c5aebf24265025bad1614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb53cb6df60cc9211f439f60a9cdf5b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e765486bc742b3433f581e58504e331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a4d503af3cf358ad272c08429258c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7f2c72ab559a0615db4c51327b78d4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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