伤城文章网 > 数学 > 高中数学北师大版必修4第3章2.1-2.2《两角差的余弦函数 两角和与差的正弦、余弦函数》ppt课件_图文

高中数学北师大版必修4第3章2.1-2.2《两角差的余弦函数 两角和与差的正弦、余弦函数》ppt课件_图文




2
2.1 2.2

1

3

2

4





1cos()___c_o_s__c_o_s____si_n__s_in_____ 2cos()___c_o_s__c_o_s____si_n__s_in_____
3sin()___s_in__c_o_s____c_o_s__s_in______ 4sin()____s_in__c_o_s____c_o_s__s_in______.

1sin43cos13cos43sin13( )

A12

B

3 3

C

2 2

D

3 2

[] A

[] sin43cos13cos43sin13sin(4313)

sin3012.

2cos

4 5

sin(

4

)

()

A7102

B7102

C 102 [] A

D

2 10

[]

sin(4) 22(sincos) 22(4535)7102.

3 cos( 35)cos(25 ) sin( 35)sin(25 )

()

A12

B

3 2

C

2 2

D12

[] A [] cos(3525)cos(60)12.

4cos()sin()tan __________.
[] 1 [] cos()sin() coscossinsinsincoscossin cos(cossin)sin(cossin) cossin>0cossin. tan1.

5 cos()15cos()35 tantan____.

[]

1 2

[] cos()coscossinsin15

cos()coscossinsin35

32coscos4sinsin

tantan12.




(1)cos(x20)cos(x40)cos(x70)sin(x40) (2)sin100sin(160)cos200cos(280) (3)sinx32sinx3 3cos23x. [] (1)(3)x (2)

[] (1)cos(x20)cos(x40)sin[90 (x70)]sin(x40)
cos(x20)cos(x40)sin(x20)sin(x40) cos[(x20)(x40)]cos6012. (2)sin80(sin20)(cos20)cos80cos(80 20)cos6012.

(3)sinxcos

3

cosxsin

3

2sinxcos

3

2cosxsin

3



3

cos23cosx 3sin23sinx32sinx 23cosx 23cosx32sinx0. []






(1)12cos15 23sin15 (2)2cos2c0os10sin10 (3)sin347cos148sin77cos58. [] (1)cos60cos15sin60sin15 cos(6015)cos45 22.

(2)2cos30cos1100sin10 2cos30cos10c2ossi1n030sin10sin10 3cos10cossi1n010sin10 3. (3)sin(13360)cos(18032)sin77cos58 sin(13)(cos32)sin77cos58 sin13(cos32)sin77cos(9032)

cos77cos32sin77sin32

cos(7732)cos45

2 2.

()

(34)sin()35sin(4)

1123sin(4)

[]



4

()(4)S



[] (34) 32<<22<4<34. cos()45cos(4)153. sin(4)sin[()(4)] sin()cos(4)cos()sin(4)(35)(153) 451123165546853635.

[]
(1)"""" ""
(2)"""" """" ""

[s]incsoinsc23oscos23csoinssin12s12in() sin22sincoscos249
cos22cossinsin214 22(sincoscossin)2356 sincoscossin4772 sin()4772.



sin 55cos31010

[] sincoscossin

[] sin 55cos31010

cos 1sin2255sin 1cos2 1100 cos()coscossinsin

2 5 53 1010

55

1100

2 2.

0<<20<<20<<.

cos()>04.

[] (1) (2) (3)

sin

43 7

sin()

53 14



[]

sin

43 7



cos 1sin2 1473217. sin>sin()

cos() 1sin2 1514321114 coscos[()]cos()cossin()sin

11141751434 7 312.60.

sinsin[()] sin()coscos()sin514317(1114)4 7 3 23 60.



ysin32cos32 [] yAsin()

[] ysin32cos32

sin3cos2cos3sin2cos3cos2sin3sin2

12

3(cos2sin2)

2 2

6sin24

242k2k8(kZ)

ymax

2 2

6T22



2 2

6.

[] (1)asinxbcosx a2b2( a2ab2sinx a2bb2cosx) cos a2ab2sin a2bb2 asinxbcosx a2b2(cossinxsincosx) a2b2sin(x)tanba. (2)asinxbcosx f(x) a2b2 sin(x)yAsin(x) f(x)

(1)f(x)sinxcosx________

(2)y2sinxcosx________

[] (1)2 (2) 5 [] (1)f(x) 2sin(x4)2.

(2)y2sinxcosx



5(

25sinx

1 5cosx)

5sin(x)(cos 25sin 15)

sin(x)1ymax 5.



[]

ABCsinA35cosB153cosC
sinA350<A<

cosA45.

cosB1530<B<sinB1123.

cosCcos[(AB)]cos(AB)

cosAcosBsinAsinB

cosC1665cosC5665.

[]
[] cosB153< 22B(42) sinB1123. sinA35< 22A(04)(34) A(34)B(42)

AB(32) ABC A(34) A(04) cosA45. cosCcos[(AB)]cos(AB) cosAcosBsinAsinB451533511231665.


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