1 . 亚洲第三大摩天轮“水城之眼”是我市的地标建筑,也是全球首座建筑与摩犬轮相结合的城市地标.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/bf9f9acf-c3c2-4c25-b2b5-34609cf80ad9.png?resizew=314)
(1)某数学课外活动小组为了测量摩天轮的最高点
距地面的高度,选取了与点
在地面上的射影
在同一水平面内的两个测量基点
(如图所示);现测得
,BC两点间的距离是
米,求最高点
距地面的高度
;
(2)若摩天轮最低点
距地面的距离
米,开启后按逆时针方向匀速旋转,转动一周需要
分钟.
①从游客进入摩天轮位于最低点
处的轿厢开始计时,转动
分钟后距离地面的高度为
米,求在转动一周的过程中,
(单位:米)关于
(单位:分钟)的函数解析式;
②若只有当轿厢的高度
超过
米时才能俯瞰东昌湖的关景,请计算游客在摩天轮旋转一周的过程中有多长时间可以俯瞰东昌湖的美景.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/bf9f9acf-c3c2-4c25-b2b5-34609cf80ad9.png?resizew=314)
(1)某数学课外活动小组为了测量摩天轮的最高点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd5957afdd2e81ae229424e9098fda5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2415078b0b5305d0f2392fde35187532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
(2)若摩天轮最低点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bed94631d9834d6b1ff58214df9d0cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
①从游客进入摩天轮位于最低点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②若只有当轿厢的高度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80c7568a96236fd9607a0f90267f8e7.png)
您最近一年使用:0次
2020-07-28更新
|
431次组卷
|
2卷引用:山东省聊城市2019-2020学年高一(下)期末数学试题
名校
2 . 如图,我国南海某处的一个圆形海域上有四个小岛,小岛
与小岛
、小岛
相距都为
,与小岛
相距为
.小岛
对小岛
与
的视角为钝角,且
.
![](https://img.xkw.com/dksih/QBM/2015/12/14/1572361334325248/1572361340411904/STEM/b668ce96-c326-4df6-bdc1-f1fc43381b4b.png?resizew=230)
(Ⅰ)求小岛
与小岛
之间的距离和四个小岛所形成的四边形的面积;
(Ⅱ)记小岛
对小岛
与
的视角为
,小岛
对小岛
与
的视角为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d83bdaf481e133f89136491b2d5189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec617c6e9e5aaa61d8540b92c6adbfd.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ee608882881caff2f1e223177424ac.png)
![](https://img.xkw.com/dksih/QBM/2015/12/14/1572361334325248/1572361340411904/STEM/b668ce96-c326-4df6-bdc1-f1fc43381b4b.png?resizew=230)
(Ⅰ)求小岛
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(Ⅱ)记小岛
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d8d24b6d6dd0717c226569e345d9f0.png)
您最近一年使用:0次
2016-12-03更新
|
1231次组卷
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7卷引用:山东省泰安市宁阳县第一中学2020-2021学年高一下学期第一次月考考试数学试卷