3. (必修4P162)已知角的终边经过点P, =_______,=_______
2. (必修4P6例2)已知的终边与角终边相同,则终边在________________象限.
1.(必修4P6例1)到之间与终边相同的角的集合为___________________
(二)、任意角的三角函数
8.定义:设,是角终边上任意一点,且设,则sin= ; cos= ;tan= ;
9.三角函数的符号与角所在象限的关系:
10正弦、余弦、正切、余切函数的定义域和值域:
解析式 |
y=sinx |
y=cosx |
y=tanx |
定义域 |
|
|
|
值 域 |
|
|
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11.三角函数线:在上图中作出角的正弦线、余弦线、正切线.
(一)、角的概念的推广
1.与角终边相同的角的集合为 .
2.与角终边互为反向延长线的角的集合为 .
3.轴线角(终边在坐标轴上的角)
终边在x轴上的角的集合为 ,终边在y轴上的角的集合为 ,终边在坐标轴上的角的集合为 .
4.象限角是指: .
5.弧度制的意义:圆周上弧长等于半径长的弧所对的圆心角的大小为1弧度的角,它将任意角的集合与实数集合之间建立了一一对应关系.
6.弧度与角度互化:180º= 弧度,1º= 弧度,1弧度= º.
7.弧长公式:l = ;扇形面积公式:S= .
20.-Madam, your clothes are ready now.
-Thanks. And how much shall I for them?
A. cost B. take C. spend D. pay
19. As the old man ____ dying in bed, he finally let out the secret about his daughter.
A. lied B. lay C. laid D. lain
18. The new books are of great use. They ____ well and ____ already.
A. sell; sell out B. sold; had sold out
C. sold; have sold out D. sell; have been sold out
17. Does this meal cost $50? I __________ something far better than this!
A. prefer B. expect C. suggest D. suppose
16. Leaving your car unlocked outside is just trouble.
A.attracting B.drawing C.resulting D.inviting
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