Repetytorium - Egzamin ósmoklasisty. Matematyka

( ) = ( ) = ( − ) = ( − − )
c) Trapez ABCD, gdzie A= 3, −4 , B 3, 6 , C 2, 3 , D 2, 4 .
Trapez ABCD
AB = 10, AD = 5,
CD = 7
BC =
2 2 2 2
( 3−( −2)
) + ( 6−3) = 5 + 3 = 34
O = AB + BC + CD + DA
O = 10 + 34 + 7 + 5 = 22 + 34
( AB + CD )⋅ AD
P =
2
( 10 + 7) ⋅ 5
P =
2
P = 42,
5
( ) = ( ) = ( − )
d) KLM, gdzie K = −21 , , L 32 , , M 1, 2.
KL =
2 2
( 3−( −2)
) + ( 2−1) = 26
ML =
MK =
( ) = =
2 2
( 3−1) + 2−( −2)
20 2 5
( ) = =
2 2
( −2−1) + 1−( −2)
18 3 2
O = 26+ 2 5+
3 2
-
KLM
1⋅
5
4⋅
2
3⋅
3
P = 54 ⋅ = 20 P I = = 25 , P
2
II = = 4 P
2
III = =
2
PKLM = P − ( PI + PII + PIII
)= 20 − 11 = 9
( ) = ( − ) = ( ) = ( )
e) OPRS, gdzie O = −31 , , P 0, 2, R 21 , , S 25 , .
OPRS-
OPR i ORS
-
3⋅
5
P OPR = = 75 ,
2
4⋅
5
P ORS = = 10
2
POPRS = POPR + PORS
= 7, 5 + 10 = 17, 5.
45 ,
78