Øïàðãàëêè ïî ìàòåìàòèêå - ôîðìóëû

cos2=cos2-sin2=2cos2-1=1-2sin2

asin+bcos= x=arctg(b/a)

sin18o= sin36o=

a/sin=2R a2=b2+c2-2bccos

S3=absin/2=pr=aha/2=

R=abc/4S r=2S/(a+b+c)

(c+d)c=a2

(c+d)d=b2

h2=cd

(f+h)h=(g+i)i=e2

ad=cb

aob=

=ab

mpk=

..==..

=½mk=½mok

C=2 S=R2 l=Ra(ðàä.)=Ro/180o

An=180o(n-2)/n S=arn/2=R2n•sin(3600/n)/2

âïèñ.: A+C=B+D=3600

AC•CD+BC•AD=BD•AC

îïèñ.: a+c=b+d S=pr

òðàï: S=½•d1•d2•sin=a•[ñåð.ë³í.]=½ •h(a+c)

c÷åðåç ïåð. ä³àã.=2ab(a+b) cì³æ ñåð.ä³àã.=(a-b)/2

âïèñ.êîëî: cåð.ë³í.=á³÷í³é ñòîð. , h2=ab

ä³ã. ïåðï.: h=á³÷í³é ñòîðîí³

ðîìá: S=ah=½•d1•d2=a2•sin() r=h/2

ïàðàë: S=ah=ab•sina=½•d1•d2•sin()

d12+d22=a(a2+b2)

ïðÿì. ïàðàë.: [l â³ä ñ äî dï.ï.]=

êóá: [l â³ä dêóáà äî dãðàí³]=a/6

âñ³ ï³ä îäíèì êóòîì: ðåáðà – R ãðàí³ – r

Sá Sï V

Ïðÿ.ïð Po•H Sá+2So So•H

Ïîõ.ïð Po•l Sá+2So So•H

ϳð n•Sãðàí Sá+So So•H/3

Ïðàâ ½Po•a Sá+So So•H/3

Çð³ç n•Sãðàí Sá+So1+ So2 H(So1+So2 +So1So2)/3

Ïð.çð ½(Po1+ Po2) •a Sá+So1+ So2 H(So1+So2 +So1So2)/3

Öèë³íä 2RH 2r(h+r) R2H

Êîíóñ RL r(L+r) R2H/3

Çð.êîí L(R+r) Sá+ So1+So2 h(R2+r2+ Rr)/3

Êóëÿ L=2R 4R2 4R3/3

x2+px+q=0 x1x2=q x1+x2= - b

f(x)=f(x0)+f /(x0)(x-x0) - äîòè÷íà

ïîõ³äíà: xnnxn-1 sinxcosx cosx-sinx

tgx1/cos2x ctgx-1/sin2x

axaxlna lnx1/x loga kx k / x •loga kx

ïåðâ³ñíà: cosxsinx sinx-cosx

xnxn+1/(n+1) ax ax/lna 1/xlnx

àðèôì.ïð.: an=a1+d(n-1) Sn=(a+an)•n/2

ãåîì..ïð.: bn=b1qn-1 Sn=b1(1-qn)/(1-q)

ñïàäíà: S=b1/(1-q)

Âåêòîðè: a•b=x1x2+y1y2+z1z2

|a|=x2+y2+z2 a+b=c(xa+xb;ya+yb)

cos(a^b)=(a•b)/|a|•|b| a•b=xa•xb+ya•yb

a | ba•b=0 a||bxa/xb=ya/yb

|•a|=||•|a|

logaxy=logax+logay logax/y=logax-logay

logax=logbx/logba