1 . 已知
,
,
,
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be2e0a0816bc26d430622d24909ef97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aeb448d0392a08f89781e63b49cd3da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58689d91512c6629f12c6a21619e6c43.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e3cf2c5371ae8347c842957f9fde28.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e619d36b4b58c13da08ab8f5695bfdfb.png)
您最近一年使用:0次
2 . 已知函数.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4b690b88c6dcbe74e5f3a1e6848bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
解题方法
3 . 某摩天轮示意图如图.已知该摩天轮的半径为30米,轮上最低点与地面的距离为2米,沿逆时针方向匀速旋转﹐旋转一周所需时间为
分钟.在圆周上均匀分布12个座舱,标号分别为1~12(可视为点).现4号座舱位于圆周最上端,从此时开始计时,旋转时间为t分钟.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/4/774b039e-3484-45c7-9cc7-602aeb09ad2a.png?resizew=142)
(1)求1号座舱与地面的距离h与时间t的函数关系
的解析式;
(2)在前24分钟内,求1号座舱与地面的距离为17米时t的值;
(3)记1号座舱与5号座舱高度之差的绝对值为H米,若在
这段时间内,H恰有三次取得最大值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9ca4d136b6bd8c222fc43fd9f4ca1c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/4/774b039e-3484-45c7-9cc7-602aeb09ad2a.png?resizew=142)
(1)求1号座舱与地面的距离h与时间t的函数关系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0999d7e1264bf85be74b29cd9e34db.png)
(2)在前24分钟内,求1号座舱与地面的距离为17米时t的值;
(3)记1号座舱与5号座舱高度之差的绝对值为H米,若在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c966bcc296ac11bb386dde72330c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9fd58e71dcae6cafaf9037d20ebd76.png)
您最近一年使用:0次
4 . 已知
,
.
(1)求
的值;
(2)求
的值;
(3)在平面直角坐标系
中,以
为始边,已知角
的终边与角
的终边关于
轴对称,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bc052a11cf1a01445992672dde2836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7223bf3fdadd6f44abce82899bc1ec1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798e66272a748ba5cb25316572be95ba.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4bbb92a13e855b2d3ad6ee7666fb1a4.png)
(3)在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323b74b1e7d8a89188b2dfc5d0bc30ec.png)
您最近一年使用:0次
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解题方法
5 . 已知
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8432a2757b7048ee8cdcf47704e17c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec4902139b5c3f42e5a0fc283ee46fc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569087ece1739f75121b549c7de10058.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46c901f8044a6332413b0257b2219c0.png)
您最近一年使用:0次
解题方法
6 . 如图,在直角坐标系中,设单位圆O与x轴的非负半轴相交于点
,以x轴的非负半轴为始边分别作任意角
,
,它们的终边分别与单位圆相交于点
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/a11c83f7-4a15-43e3-9fda-c5c7e25e104a.png?resizew=185)
(1)请在图中作出以x轴的非负半轴为始边时角
的终边
(与单位圆交于点P),并说明AP与
的长度关系;
(2)根据第(1)问的发现,证明两角差的余弦公式;
(3)由两角差的余弦公式推导两角差的正弦公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8950c7bc835103d52ceffab14b6b31a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/a11c83f7-4a15-43e3-9fda-c5c7e25e104a.png?resizew=185)
(1)请在图中作出以x轴的非负半轴为始边时角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae97d7f57b159b72a23eb909b74d7c3.png)
(2)根据第(1)问的发现,证明两角差的余弦公式;
(3)由两角差的余弦公式推导两角差的正弦公式.
您最近一年使用:0次
7 . 已知函数
的最小正周期为8.
(1)求函数
的单调减区间;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb58922e1f5e53e14910f1f035eb8f4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45543cc7952536116ea3b0024eb22f1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4352dfe95446ab24b2c5aba37a13b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4ac977c88fafb7c12144d0a9256856.png)
您最近一年使用:0次
2023-11-20更新
|
464次组卷
|
2卷引用:吉林省“BEST合作体”2023-2024学年高一上学期期末数学试题
解题方法
8 . 回答下列两题:
(1)若
的终边经过点
,求
的值;
(2)若
,且
,求
的值.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a42451bdbef6c82dbaf8e06f0614794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69d9b0835fa4823e60d06071bc332f4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5ee222e0be750e43e032e41d346977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f798a9af75a091a8be0b71f2038260.png)
您最近一年使用:0次
名校
解题方法
9 . 请在这三个条件:①
;②
;③
,中任选一个条件补充在下面的横线上,并加以解答.如图.锐角
中
,______,
,
在
上,且
,点
在边
上,且
,
交
于点F.
、
的长;
(2)求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3814e5abe085d954e634f8d923b35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53c7968846ae93349cecc7d53d18a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b6bef27de230acad352f25e954f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d320f180419175d75eebc618cc458b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
您最近一年使用:0次
解题方法
10 . 已知,
,且
,
.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c03c2889adf59180be626f754bdfcd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9b3a757aa7c2c5eb01fec618c2d1ab.png)
您最近一年使用:0次
2023-07-11更新
|
393次组卷
|
3卷引用:山东省青岛市平度市2022-2023学年高一下学期期末数学试题