锟斤拷锟叫旓拷(sh锟斤拷)锟絎锟截憋拷锟斤拷式知锟絉锟絚锟斤拷全

锟节旓拷(sh锟斤拷)锟絎锟侥學锟斤拷锟皆硷拷锟斤拷锟絵锟斤拷锟斤拷锟斤拷锟揭傦拷锟侥旓拷(sh锟斤拷)锟絎锟斤拷锟絵锟斤拷锟絰锟斤拷锟絖锟斤拷式锟斤拷锟斤拷锟叫旓拷(sh锟斤拷)锟絎锟叫很讹拷锟斤拷要锟截傦拷墓锟绞�锟斤拷锟斤拷么小锟斤拷锟酵岋拷锟斤拷锟斤拷锟斤拷要锟侥癸拷式锟給锟斤拷锟斤拷锟斤拷锟揭伙拷锟�锟斤拷

锟斤拷锟角癸拷式锟斤拷全

1.锟缴角和癸拷式锟斤拷

sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-sinBcosA

cos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB

tan(A+B)=(tanA+tanB)/(1-tanAtanB) tan(A-B)=(tanA-tanB)/(1+tanAtanB)

ctg(A+B)=(ctgActgB-1)/(ctgB+ctgA) ctg(A-B)=(ctgActgB+1)/(ctgB-ctgA)

2.锟斤拷锟角癸拷式锟斤拷

tan2A=2tanA/(1-tan2A) ctg2A=(ctg2A-1)/2ctga

cos2a=cos2a-sin2a=2cos2a-1=1-2sin2a

3.锟斤拷枪锟绞斤拷锟�

sin(A/2)=((1-cosA)/2) sin(A/2)=-((1-cosA)/2)

cos(A/2)=((1+cosA)/2) cos(A/2)=-((1+cosA)/2)

tan(A/2)=((1-cosA)/((1+cosA)) tan(A/2)=-((1-cosA)/((1+cosA))

ctg(A/2)=((1+cosA)/((1-cosA)) ctg(A/2)=-((1+cosA)/((1-cosA))

4.锟酵差化锟絜锟斤拷

2sinAcosB=sin(A+B)+sin(A-B) 2cosAsinB=sin(A+B)-sin(A-B)

2cosAcosB=cos(A+B)-sin(A-B) -2sinAsinB=cos(A+B)-cos(A-B)

sinA+sinB=2sin((A+B)/2)cos((A-B)/2 cosA+cosB=2cos((A+B)/2)sin((A-B)/2)

tanA+tanB=sin(A+B)/cosAcosB tanA-tanB=sin(A-B)/cosAcosB

ctgA+ctgBsin(A+B)/sinAsinB -ctgA+ctgBsin(A+B)/sinAsinB

锟斤拷锟絯锟紻锟轿硷拷平锟斤拷D锟轿的癸拷式

锟紸锟侥標準凤拷锟斤拷(x-a)2+(y-b)2=r2注锟斤拷(a,b)锟角圓锟斤拷锟斤拷锟斤拷

锟紸锟斤拷一锟姐方锟斤拷x2+y2+Dx+Ey+F=0注锟斤拷D2+E2-4F>0

锟斤拷锟斤線锟剿準凤拷锟斤拷y2=2pxy2=-2pxx2=2pyx2=-2py

直锟斤拷锟斤拷锟斤拷(c锟斤拷)锟斤拷eS=c*h斜锟斤拷锟斤拷锟斤拷(c锟斤拷)锟斤拷eS=c'*h

锟斤拷锟斤拷锟紽锟斤拷(c锟斤拷)锟斤拷eS=1/2c*h'锟斤拷锟斤拷锟絖锟斤拷(c锟斤拷)锟斤拷eS=1/2(c+c')h'

锟紸锟絖锟斤拷(c锟斤拷)锟斤拷eS=1/2(c+c')l=pi(R+r)l锟斤拷谋锟斤拷锟絜S=4pi*r2

某些锟斤拷(sh锟斤拷)锟斤拷前n項猴拷

1+2+3+4+5+6+7+8+9+…+n=n(n+1)/2 1+3+5+7+9+11+13+15+…+(2n-1)=n2

2+4+6+8+10+12+14+…+(2n)=n(n+1) 12+22+32+42+52+62+72+82+…+n2=n(n+1)(2n+1)/6

13+23+33+43+53+63+…n3=n2(n+1)2/4 1*2+2*3+3*4+4*5+5*6+6*7+…+n(n+1)=n(n+1)(n+2)/3

锟斤拷锟揭讹拷锟斤拷 a/sinA=b/sinB=c/sinC=2R 注锟斤拷 锟斤拷锟斤拷 R 锟斤拷示锟斤拷锟斤拷锟轿碉拷锟斤拷訄A锟诫徑

锟斤拷锟揭讹拷锟斤拷 b2=a2+c2-2accosB 注锟斤拷锟斤拷B锟斤拷邊a锟斤拷邊c锟侥夾锟斤拷

锟紸锟侥標準凤拷锟斤拷 (x-a)2+(y-b)2=r2 注锟斤拷(a,b)锟角圓锟斤拷锟斤拷锟斤拷

锟紸锟斤拷一锟姐方锟斤拷 x2+y2+Dx+Ey+F=0 注锟斤拷D2+E2-4F>0

锟斤拷锟斤線锟剿準凤拷锟斤拷 y2=2px y2=-2px x2=2py x2=-2py

直锟斤拷锟斤拷锟斤拷(c锟斤拷)锟斤拷e S=c*h 斜锟斤拷锟斤拷锟斤拷(c锟斤拷)锟斤拷e S=c'*h

锟斤拷锟斤拷锟紽锟斤拷(c锟斤拷)锟斤拷e S=1/2c*h' 锟斤拷锟斤拷锟絖锟斤拷(c锟斤拷)锟斤拷e S=1/2(c+c')h'

锟紸锟絖锟斤拷(c锟斤拷)锟斤拷e S=1/2(c+c')l=pi(R+r)l 锟斤拷谋锟斤拷锟絜 S=4pi*r2

锟紸锟斤拷锟斤拷(c锟斤拷)锟斤拷e S=c*h=2pi*h 锟紸锟紽锟斤拷(c锟斤拷)锟斤拷e S=1/2*c*l=pi*r*l

锟斤拷锟絃锟斤拷式 l=a*r a锟角圓锟侥角的伙拷锟饺旓拷(sh锟斤拷)r >0 锟斤拷锟斤拷锟斤拷e锟斤拷式 s=1/2*l*r

锟紽锟絯锟絯锟絜锟斤拷式 V=1/3*S*H 锟紸锟紽锟絯锟絯锟絜锟斤拷式 V=1/3*pi*r2h

斜锟斤拷锟斤拷锟絯锟絜 V=S'L 注锟斤拷锟斤拷锟斤拷,S'锟斤拷直锟斤拷锟斤拷锟斤拷e锟斤拷 L锟角傦拷(c锟斤拷)锟斤拷锟絃

锟斤拷锟絯锟絯锟絜锟斤拷式 V=s*h 锟紸锟斤拷锟絯 V=pi*r2h

锟斤拷锟絇(gu锟斤拷n)锟斤拷锟絔锟斤拷

锟斤拷锟斤拷锟竭匡拷锟斤拷(sh锟斤拷)锟絎锟斤拷锟斤拷锟斤拷锟斤拷

锟斤拷锟铰高匡拷锟結訊锟斤拷锟竭匡拷锟斤拷锟斤拷锟斤拷锟斤拷前锟绞傦拷锟斤拷志愿锟斤拷锟�锟斤拷锟饺★拷謹锟�(sh锟斤拷)锟斤拷锟斤拷

锟竭匡拷锟絩锟絞锟斤拷锟斤拷全锟斤拷锟斤拷要锟斤拷(ji锟斤拷)锟絚

锟組锟斤拷"锟竭匡拷锟絎(w锟斤拷ng)"微锟脚癸拷锟斤拷號