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)

(

)

[

] [

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(

)

[ (

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( ) ]

( )

war AP

-1

A

T

, Q=(AP

-1

A

T

)

-1

, k=Qw, V=-P

-1

A

T

k, dh

e

=dh+V, V

T

PV=k

T

w, m

0

,

war C

LL

=m

o

2

[I-P

-1

A

T

Q]P

-1

, H

SZ

=H

N

+dh, G=[mac dh], C

HH

=m

0

2

GC

LL

G

T

(f(x)*g(x))’=f’*g+f*g’; (f(x)/g(x))’=(f’*g-f*g’)/(g^2); (z(w(x))’=z’(w)*w’;

sin->cos; cos->-sin; tg->1/(cos^2); ctg->-1/(sin^2); arcsin->1/p(1-x^2);

arccos->-1/p(1-x^2); arctg->1/(1+x^2); racctg->-1/(1+x^2)

Sześcian: P=6a

2

V=a

3

D=a(p3) d=a(p2); walec: P=2pir

2

+2pirH V=pir

2

H;

Stożek: P=pir

2

+pirl V=(pir

2

H)/3; Prostopadloscian: P=2ab+2aH+2bH V=abH;

tr różnobocz: P=(ah)/2=0,5cbsinα; ostrosłup: P=P

p

+P

b

V=(P

p

H)/3;Tr równobocz: P=(a

2

(p3))/4;

tr prostoka: P=(ab)/2=(ch)/a=0,5acsinα; prostoka: P=ab=d

2

sinαcosα; romb: P=ah=a

2

sinα=(d

1

d

2

)/2;

rownolegl: P=ah=absinα; trapez: P=0,5(a+b)h=0,5(a+b)csinα