-

, .

-

: ,,

: ,,

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

a×sina+b×cosa=x=arctg(b/a)

sin18o= sin36o=

a/sina=2R a2=b2+c2-2bc×cosa

S3=ab×sina/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

Ðaob=

=Èab

Ðmpk=

..==..

=Èmk=Ðmok

C=2p S=pR2 l=Ra(.)=pRao/180o

ÐAn=180o(n-2)/n S=arn/2=R2nsin(3600/n)/2

.: ÐA+ÐC=ÐB+ÐD=3600

ACCD+BCAD=BDAC

.: a+c=b+d S=pr

: S=d1d2sinb=a[..]= h(a+c)

c . .=2ab(a+b) c ..=(a-b)/2

.: c..= . , h2=ab

. .: h=

: S=ah=d1d2=a2sin(a) r=h/2

: S=ah=absina=d1d2sin(a)

d12+d22=a(a2+b2)

. .: [l d..]=

: [l d d]=a/Ö6

: R r

S

S

V

.

PoH

S+2So

SoH

.

Pol

S+2So

SoH

ϳ

nS

S+So

SoH/3

Poa

S+So

SoH/3

nS

S+So1+ So2

H(So1+So2 +ÖSo1So2)/3

.

(Po1+ Po2) a

S+So1+ So2

H(So1+So2 +ÖSo1So2)/3

2pRH

2pr(h+r)

pR2H

pRL

rp(L+r)

pR2H/3

.

pL(R+r)

S+ So1+So2

ph(R2+r2+ Rr)/3

L=2pR

4pR2

4pR3/3

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

f(x)=f(x0)+f /(x0)(x-x0) -

: xnnxn-1 sinxcosx cosx-sinx

tgx1/cos2x ctgx-1/sin2x

axaxlna lnx1/x loga kx k / x loga kx

: cosxsinx sinx-cosx

xnxn+1/(n+1) ax ax/lna1/xlnx

..: an=a1+d(n-1) Sn=(a+an)n/2

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

: S=b1/(1-q)

: ab=x1x2+y1y2+z1z2

|a|=Öx2+y2+z2 a+b=c(xa+xb;ya+yb)

cos(a^b)=(ab)/|a||b| ab=xaxb+yayb

a | bab=0 a||bxa/xb=ya/yb

|la|=|l||a|

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

logax=logbx/logba

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