学习方法指导丛书：数学课业学习常规.pdf（51页）

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1、 4.3-+2.435223 24001 1+142400 1+141+14=14 42635711133616158 134562585733414471251053456 3456 34569121012 O l OA OB OA l OB l b =12sin2.sin=sincoscossinsin2222aaaaa cos=sin22sinaa18 1+1x4 621xx-+=-=j cos=13sin-=15sin=-=-=-=-11311513152 232 651158 3 1158 3 1152 2()()sin b dbb c bc=-+sin()sinba2 2342 a

2、 b a b a b3 3 3 3+a b a b3 3 2 3 2 3+-a b a bab a b b a b aab b a b a ab b3 3 2 3 2 32 3 2 3 3 3 2 33 2 3 3 3 2 3 3 2 3+-+-+-+=a-=a b cos()()()()q=+-+=-+=-k k kK kk kk kkk2 2 2 21 22 12 32 1320 k k kk k2 2 21 22 10+-+()()()21111132+-+-x xxxxx=2+12-12+22=12-+-=12 113 32 x 1 1 2 5 17 10 32+-+=x x x 1=

3、8 22=2x-64 33 5x-17x 10=2x-64 4 x+293x-4086=02 222 5 17 105 17 10239 734652221 2x x xxx-+-+=-1 2 2 3 03 2x-64 0 3 4 6 1 PC=1 PD=6 PDC=arcsin66PDO=23arcsin66-=2P O2pp p p p623 6-x-3 2x+1 0 x X 30-2 x-+-1223 113xx ABC AB=a+b a=a+b cos.b=a+b sin y=a+b2 2 2 22 2 2 2sin()x+q 0 0 x-25-12x x 3-25-11 3 x 3

4、x-25=2x+52x-12=2x+12x-1 x-3 x 3()()()()x xx x-+-1 2 52 1 32 -12x 3 0-2 xxx+-23 113 sin cos()a a aa=+=-+=-=211121 2222 2tttttgttt tg S a b h s c c h S c c l=+=+=+121212()()()y=sin x+y=sinx j s=a+b+c2r R =C C a b C a b+C ab C bn0n1 n-1n2 n-2 2nn-1 n-1nn n d=|Ax By CA B0 02 2+A B2 2+A B2 2+cos aaa=-+12

5、1222tgtg cos tg2cos=cos-sin22a aa22=-+=-+cos sincos sin22 22 2121222 222a aa aaatgtg=30 1=3-4=1 1=-11218 Vhr hvrr r h=+=+pp6363 32 21222 2()()xaybxayby px2222222221 1 2+=-=rq=-epe 1 cos 111 S=12n a+a=n a nn 1 n 1a1+n S na n n d dn a d nn=+-=+-1211211212()()d 0 d 0 n=1-d Sna1 S=13 a=13 12 4d 0 d-313

6、7S dd12 02472473 0-n=1-ad=3-12d S 5.5-adn=3-12d 7x1n16-247d-3 0 SS 0-6 S 0-5S113 126aaa pd da pdadpadadadadpad77111 11 11 101 0001125121 7+-+-tgAtg ctgBctgCctgActgBctgC2 2 2 2 2 2+=ctgActgBctgCctgActbBctgC2 2 2 2 2 2+=tg tg tg tg 20 40 3 20 40 3+=1+4sin12Asin12Bsin12C sin50 cos80-12=2sin20 sin40 P=5

7、cos-5 3sin 0 2 233S 233S 3-3-3=2cos30 cos80/sin10 b=3b b=1a-1n n-1 nn xyx yx y=+=+=cossincos sin|qqq q2 2 2 211 1 y=1 xx x=2sin-2 2y 1 sin cos=1 2sin-y 1+2 32222 24 2 22-xxlp pp p p x=2=1 x=2sin=cos y=1 sin cos2 2 2 22222222222-xx xx =3x-2 x+x+x x+x+x+x+3y-2 y+y y y+y+y+y21 2 3 122232 21 2 3 122232 z-z=z-z z-z=|z|k=1 2 nD=n|z|D z=0k2k k22+-+-=+=|z zz zzz z z z zn z zzk k kkknkknkknkknkkn221 1 12 2121 D=m|z|2+=|zkkn21