锟斤拷锟斤拷锟斤拷锟叫旓拷(sh锟斤拷)锟絎(xu锟斤拷)锟斤拷式锟截憋拷

锟斤拷锟斤拷锟斤拷锟斤線锟斤拷式

锟斤拷锟斤拷y=ax^2+bx+c锟斤拷锟斤拷y锟斤拷锟斤拷ax锟斤拷平锟斤拷锟斤拷锟斤拷b

锟斤拷锟斤拷a>0锟絩(sh锟斤拷)锟絖锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷a<0锟絩(sh锟斤拷)锟絖锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷c=0锟絩(sh锟斤拷)锟斤拷锟斤線锟斤拷(j锟斤拷ng)锟絕原锟絚(di锟斤拷n)

锟斤拷锟斤拷b=0锟絩(sh锟斤拷)锟斤拷锟斤線锟斤拷锟絈锟絊锟斤拷y锟絊

锟斤拷锟斤拷锟斤拷锟斤線锟斤拷(bi锟斤拷o)锟斤拷(zh锟斤拷n)锟斤拷锟教ｏ拷y^2=2px

锟斤拷锟斤拷锟斤拷锟斤拷示锟斤拷锟斤線锟侥斤拷锟絚(di锟斤拷n)锟斤拷x锟斤拷锟斤拷锟斤拷锟絊锟较ｏ拷锟斤拷锟絚(di锟斤拷n)锟斤拷锟斤拷(bi锟斤拷o)锟斤拷(p/2锟斤拷0)锟斤拷(zh锟斤拷n)锟斤拷锟斤拷锟教烇拷x=-p/2

锟斤拷锟斤拷锟斤拷锟节掞拷锟斤線锟侥斤拷锟絚(di锟斤拷n)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷S锟斤拷锟绞癸拷锟叫橈拷(bi锟斤拷o)锟斤拷(zh锟斤拷n)锟斤拷锟斤拷y^2=2pxy^2=-2pxx^2=2pyx^2=-2py

锟斤拷锟斤拷锟斤拷e锟斤拷式

锟斤拷锟斤拷锟紸锟斤拷锟絯锟絜锟斤拷式4/3(pi)(r^3)

锟斤拷锟斤拷锟紸锟斤拷锟斤拷e锟斤拷式(pi)(r^2)

锟斤拷锟斤拷锟紸锟斤拷锟斤拷锟絃锟斤拷式2(pi)r

锟斤拷锟斤拷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

锟斤拷锟斤拷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

锟斤拷锟斤拷锟紸锟侥橈拷(bi锟斤拷o)锟斤拷(zh锟斤拷n)锟斤拷锟斤拷(x-a)2+(y-b)2=r2注锟斤拷(a锟斤拷b)锟角圓锟斤拷锟斤拷锟斤拷(bi锟斤拷o)

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

锟斤拷锟斤拷锟斤拷锟斤線锟斤拷(bi锟斤拷o)锟斤拷(zh锟斤拷n)锟斤拷锟斤拷y2=2pxy2=-2pxx2=2pyx2=-2py

锟斤拷锟斤拷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'

锟斤拷锟斤拷锟紸锟絖锟斤拷(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

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

锟斤拷锟斤拷锟斤拷锟絃锟斤拷式l=a*ra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

锟斤拷锟斤拷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

锟斤拷锟斤拷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eL锟角傦拷(c锟斤拷)锟斤拷锟絃

锟斤拷锟斤拷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

锟斤拷锟斤拷锟紼锟紸锟斤拷锟絃計(j锟斤拷)锟姐公式

锟斤拷锟斤拷锟紼锟紸锟斤拷锟絃锟斤拷式锟斤拷L=2πb+4(a-b)

锟斤拷锟斤拷锟紼锟紸锟斤拷锟絃锟斤拷锟斤拷锟斤拷锟紼锟紸锟斤拷锟斤拷锟絃锟斤拷锟斤拷該锟紼锟紸锟教帮拷锟絊锟絃锟斤拷霃斤拷膱A锟斤拷锟絃锟斤拷2πb锟斤拷锟斤拷锟斤拷锟侥憋拷锟斤拷該锟紼锟紸锟絃锟斤拷锟絊锟絃锟斤拷a锟斤拷锟絚锟教帮拷锟絊锟絃锟斤拷b锟斤拷锟侥诧拷锟斤拷

锟斤拷锟斤拷锟紼锟紸锟斤拷e計(j锟斤拷)锟姐公式

锟斤拷锟斤拷锟紼锟紸锟斤拷e锟斤拷式锟斤拷S=πab

锟斤拷锟斤拷锟紼锟紸锟斤拷e锟斤拷锟斤拷锟斤拷锟紼锟紸锟斤拷锟斤拷e锟斤拷锟节圓锟斤拷锟绞ｏ拷π锟斤拷锟斤拷該锟紼锟紸锟絃锟斤拷锟絊锟絃锟斤拷a锟斤拷锟絚锟教帮拷锟絊锟絃锟斤拷b锟斤拷锟侥乘積锟斤拷

锟斤拷锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟斤拷式

锟斤拷锟斤拷sin(2kπ+α)=sinα

锟斤拷锟斤拷cos(2kπ+α)=cosα

锟斤拷锟斤拷tan(2kπ+α)=tanα

锟斤拷锟斤拷cot(2kπ+α)=cotα

锟斤拷锟斤拷sin(π+α)=-sinα

锟斤拷锟斤拷cos(π+α)=-cosα

锟斤拷锟斤拷tan(π+α)=tanα

锟斤拷锟斤拷cot(π+α)=cotα

锟斤拷锟斤拷sin(-α)=-sinα

锟斤拷锟斤拷cos(-α)=cosα

锟斤拷锟斤拷tan(-α)=-tanα

锟斤拷锟斤拷cot(-α)=-cotα

锟斤拷锟斤拷sin(π-α)=sinα

锟斤拷锟斤拷cos(π-α)=-cosα

锟斤拷锟斤拷tan(π-α)=-tanα

锟斤拷锟斤拷cot(π-α)=-cotα

锟斤拷锟斤拷sin(2π-α)=-sinα

锟斤拷锟斤拷cos(2π-α)=cosα

锟斤拷锟斤拷tan(2π-α)=-tanα

锟斤拷锟斤拷cot(2π-α)=-cotα

锟斤拷锟斤拷sin(π/2+α)=cosα

锟斤拷锟斤拷cos(π/2+α)=-sinα

锟斤拷锟斤拷tan(π/2+α)=-cotα

锟斤拷锟斤拷cot(π/2+α)=-tanα

锟斤拷锟斤拷sin(π/2-α)=cosα

锟斤拷锟斤拷cos(π/2-α)=sinα

锟斤拷锟斤拷tan(π/2-α)=cotα

锟斤拷锟斤拷cot(π/2-α)=tanα

锟斤拷锟斤拷sin(3π/2+α)=-cosα

锟斤拷锟斤拷cos(3π/2+α)=sinα

锟斤拷锟斤拷tan(3π/2+α)=-cotα

锟斤拷锟斤拷cot(3π/2+α)=-tanα

锟斤拷锟斤拷sin(3π/2-α)=-cosα

锟斤拷锟斤拷cos(3π/2-α)=-sinα

锟斤拷锟斤拷tan(3π/2-α)=cotα

锟斤拷锟斤拷cot(3π/2-α)=tanα

锟斤拷锟斤拷(锟斤拷锟斤拷k∈Z)

锟斤拷锟斤拷sin(A+B)=sinAcosB+cosAsinBsin(A-B)=sinAcosB-sinBcosA

锟斤拷锟斤拷cos(A+B)=cosAcosB-sinAsinBcos(A-B)=cosAcosB+sinAsinB

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

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

锟斤拷锟斤拷锟斤拷锟角癸拷式

锟斤拷锟斤拷tan2A=2tanA/(1-tan2A)ctg2A=(ctg2A-1)/2ctga

锟斤拷锟斤拷cos2a=cos2a-sin2a=2cos2a-1=1-2sin2a

锟斤拷锟斤拷锟斤拷枪锟绞�

锟斤拷锟斤拷sin(A/2)=√((1-cosA)/2)sin(A/2)=-√((1-cosA)/2)

锟斤拷锟斤拷cos(A/2)=√((1+cosA)/2)cos(A/2)=-√((1+cosA)/2)

锟斤拷锟斤拷tan(A/2)=√((1-cosA)/((1+cosA))tan(A/2)=-√((1-cosA)/((1+cosA))

锟斤拷锟斤拷ctg(A/2)=√((1+cosA)/((1-cosA))ctg(A/2)=-√((1+cosA)/((1-cosA))

锟斤拷锟斤拷锟酵差化锟絜

锟斤拷锟斤拷2sinAcosB=sin(A+B)+sin(A-B)2cosAsinB=sin(A+B)-sin(A-B)

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

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

锟斤拷锟斤拷tanA+tanB=sin(A+B)/cosAcosBtanA-tanB=sin(A-B)/cosAcosB

锟斤拷锟斤拷ctgA+ctgBsin(A+B)/sinAsinB-ctgA+ctgBsin(A+B)/sinAsinB

锟斤拷锟斤拷某些锟斤拷(sh锟斤拷)锟斤拷前n锟�(xi锟斤拷ng)锟斤拷

锟斤拷锟斤拷1+2+3+4+5+6+7+8+9+…+n=n(n+1)/21+3+5+7+9+11+13+15+…+(2n-1)=n2

锟斤拷锟斤拷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

锟斤拷锟斤拷13+23+33+43+53+63+…n3=n2(n+1)2/41*2+2*3+3*4+4*5+5*6+6*7+…+n(n+1)=n(n+1)(n+2)/3

锟斤拷锟斤拷锟斤拷(d锟斤拷o)锟斤拷(sh锟斤拷)锟斤拷式

锟斤拷锟斤拷y=f(x)=c(c锟介常锟斤拷(sh锟斤拷))锟絫f'(x)=0

锟斤拷锟斤拷f(x)=x^n(n锟斤拷锟斤拷锟斤拷0)f'(x)=nx^(n-1)(x^n锟斤拷示x锟斤拷n锟轿凤拷)

锟斤拷锟斤拷f(x)=sinxf'(x)=cosx

锟斤拷锟斤拷f(x)=cosxf'(x)=-sinx

锟斤拷锟斤拷f(x)=a^xf'(x)=a^xlna(a>0锟斤拷a锟斤拷锟斤拷锟斤拷1锟斤拷x>0)

锟斤拷锟斤拷f(x)=e^xf'(x)=e^x

锟斤拷锟斤拷f(x)=logaXf'(x)=1/xlna(a>0锟斤拷a锟斤拷锟斤拷锟斤拷1锟斤拷x>0)

锟斤拷锟斤拷f(x)=lnxf'(x)=1/x(x>0)

锟斤拷锟斤拷f(x)=tanxf'(x)=1/cos^2x

锟斤拷锟斤拷f(x)=cotxf'(x)=-1/sin^2x

锟斤拷锟斤拷锟斤拷(d锟斤拷o)锟斤拷(sh锟斤拷)锟絓(y锟斤拷n)锟姐法锟絫

锟斤拷锟斤拷锟接凤拷锟斤拷锟絫锟斤拷(f(x)-g(x))'=f'(x)-g'(x)

锟斤拷锟斤拷锟絧锟斤拷锟斤拷锟絫锟斤拷(f(x)+g(x))'=f'(x)+g'(x)

锟斤拷锟斤拷锟剿凤拷锟斤拷锟絫锟斤拷(f(x)g(x))'=f'(x)g(x)+f(x)g'(x)

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟絫锟斤拷(g(x)/f(x))'=(g'(x)f(x)-f'(x)g(x))/(f(x))^2

锟斤拷锟斤拷锟斤拷锟絇(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(xu锟斤拷)锟斤拷(f锟斤拷)锟斤拷(x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竭★拷锟斤拷前锟斤拷(zh锟斤拷n)锟斤拷锟斤拷志愿锟斤拷锟�(b锟斤拷o)锟斤拷锟饺★拷锟�?j锟斤拷n)?sh锟斤拷)锟斤拷锟斤拷

锟竭匡拷锟絩(sh锟斤拷)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(di锟斤拷n)

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