answer79 - , 8 = = n p 230769 , 9 = = n p B 10256 4 128205...

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A B C M N D 1 2 A B D C P M N kS B B ABC B AD B BC B M B AB B N B AC MDN = 90 ° BM 2 + CN 2 = DM 2 + DN 2 2 AD 2 = 4 1 ( AB 2 + AC 2 ) 2 MN B NDB PB B DP = DN B BP B MP B ∵ ∵ 1 = 2 BD = DC B ∴ ∵ BPD 2245 ∆ CND ( SAS ) 22 BP = CN B B DBP = DCNB AC // BP B MP = 2 2 DM DP + = 2 2 DM DN + = MN = 2 2 DM DN + = 2 2 CN BM + = 2 2 BP BM + ∴∠ MBP = 90 ° AC // BP ∴ ∠ BAC = 90 ° ( ) AD = 2 1 BC B B AD 2 = 4 1 BC 2 = 4 1 ( AB 2 + AC 2 ) 2 8 / ± 8 4 11 7 2 10 2 5 2 1 2 2 7 ( 7 296 ( 1 ( 1 ( 2 1 ( 1 ( 2 7 2 31 ( 7 2 10 2 8 2 6 ( 8 2 6 2 8 2 9 7901
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+ Ð 88 x y z B 1 z y x k ¨Á 4 24 10 4 áå 4 ( x , y , z )2 ðÐ 8 èF 8 z B ÀF z = 12 ( x , y , z ) = (86, 1, 1)2 (85, 2, 1)= (44, 43, 1)2 43 2 z = 22 ( x , y , z ) = (84, 2, 2)2 (83, 3, 2)= (43, 43, 2)2 42 2 z = 32 ( x , y , z ) = (82, 3, 3)2 (81, 4, 3)= (43, 42, 3)2 40 2 z = 42 ( x , y , z ) = (80, 4, 4)2 (79, 5, 4)= (42, 42, 4)2 39 2 z = 52 ( x , y , z ) = (78, 5, 5)2 (77, 6, 5)= (42, 41, 5)2 37 2 z = 62 8 y B 9 y (9, 9, 6)2 ( x , y , z ) = (76, 6, 6)2 (75, 7, 6)2 (74, 8, 6)2 3 2 z = 72 7 y B 8 y (9, 8, 7)2 ( x , y , z ) = (74, 7, 7)2 1 2 ( x , y , z )2 205 1 3 37 39 40 42 43 = + + + + + + 8 / 8 / 8 / 4 n B 1 6 , 1 3 , 1 2 2 2 2 + + + n n n ( B B ) 1 2 ( ) 3 6 ( 1 11 36 36 ) 1 6 )( 1 3 )( 1 2 ( 2 2 3 2 4 6 2 2 2 + + + = + + + = + + + n n n n n n n n n 2 1 ) 3 6 ( 2 1 2 0 2 2 + + < + < n n n B B 7902 7903
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< + 2 3 ) 3 6 ( n n 2 2 3 2 2 2 ) 1 3 6 ( ) 1 6 )( 1 3 )( 1 ( + + < + + + n n n n n 4 1 6 , 1 3 , 1 2 2 2 2 + + + n n n kS B B B 1 6 , 1 3 , 1 2 2 2 2 + + + n n n ( B C 8 z C 8 z S B BB B n B p S n B p S S n B 4 n B B B , 10 p q n + = 6 2 2 2 ( 29 p p q 99996 4 10 39 5 = - = p q 2564 = 2 2 2 6 10 p q n + = q B 5 2 ,2 99999 2564 10000 = p q B 9 4 p 2 6 2 102564 , 4 = = n p 128205 , 5 = = n p 153846 , 6 = = n p 179487 , 7 = = n p 205128
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Unformatted text preview: , 8 = = n p 230769 , 9 = = n p B 10256 4 128205 153846 179487 205128 230769 7 z 7 z S * PM * &lt; n a B : , 1 3 2 1 = = = a a a S * 3 2 n B n n n n a a a a + + = + + + 1 2 3 4 n n a a a a S + + + = 3 2 1 7904 7905 20603361 , 11201821 , 6090307 30 29 28 = = = a a a B B 28 S B 1000 2 2 2 , 1 3 2 1 = = = a a a n B n n n n a a a a + + = + + + 1 2 3 2 2 n n n n a a a a + =-+ + + 1 2 3 = = + + + + =-n k n k k k k k a a a a 1 1 1 2 3 ) ( ) ( 2 = = n k K n a S 1 , 1 1 3 3 2 a S a a a n n n-+ =-+ + ) ( 2 1 ) ( 2 1 2 1 3 n n n n n a a a a S + =-= + + + 2 13346834 ) ( 2 1 28 30 28 = + = a a S B 2 = 28 1 k k a B 1000 8342 2 8 / ) / 2 2 2 2...
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This note was uploaded on 03/25/2011 for the course MATH 1232 taught by Professor Dr.jiangzhengchien during the Spring '11 term at Nanjing University.

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answer79 - , 8 = = n p 230769 , 9 = = n p B 10256 4 128205...

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