. . . (4- . — ! !), 2002

10. §7| | 10. § 9

§8.

10.53.
, :
) 33r2 S p2/33;

) S (a2+b2+c2)/43.

10.54*.
, a2+b2+c2(ab)2(bc)2(ca)2 43 S.

10.55*.
,
)S3 (3/4)3(abc)2;

)
3

hahbhc
4

3
S
3

rarbrc

.


* **


10.56*.
BC,CA AB ABC A1,B1 C1, AA1, BB1 CC1 . , SA1B1C1/SABC 1/4.
10.57*.
BC,CA AB ABC A1,B1 C1. a=SAB1C1,b=SA1BC1, c=SA1B1C u=SA1B1C1. ,
u3+(a+b+c)u2 4abc.
10.58*.
BC,CA AB ABC A1,B1 C1. , AB1C1, A1BC1, A1B1C :
) SABC/4;

) SA1B1C1.

. 9.33, 9.37, 9.40, 10.9, 20.1, 20.7.


10. §7| | 10. § 9

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