# answer58 - 5801 a0 a1 a2 a2006 a2007 I a 2007 = a 2006 1...

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Unformatted text preview: 5801 a0, a1, a2,, a2006, a2007 I a 2007 = a 2006 + 1 a12 = a0 2 + 2a0 + 1 a 2 2 = a12 + 2a1 + 1 2 2 a 2007 = a 2006 + 2a 2006 + 1 2 2 \ a 2007 = a0 + 2( a 0 + a1 + + a 2006 ) + 2007 a0, 0, a1 = a0 + 1 a 2 = a1 + 1 a1 + a 2 + + a 2007 O ( * a0, 0, 2( a1 + a 2 + + a 2007 ) = a 2007 2 - 2007 + 2a 2007 1 ( a 2007 + 1) 2 - 2008 2 \ a2007, 1 , 1 2 46 - 2008 = 54 2 1 2 44 - 2008 = 36 2 a1963, 1, a1 + a 2 + + a 2007 = a1, a2, , , a2007 , 1 2 , 44 - 2008 = 36 , 2 \, a1 + a 2 + + a 2007 a0, a2, , , a1964, 0, a1, a3, , a1965, 1, a1966, 2, a1967, 3, , , a2007, 43 (* 8 O , 1. ~I ( O 8 a 2007 = 43 36 E pc*Y2. ( ت* O . 4 E *Y , 7, 1, ai -1 (1 i 2007) 14 ت* O( 2 2 ai = ai -1 + 2ai -1 + 1 36 (1 i 2007) G a 2007 = 43 Xc*Y pE 36 3X E *Yp c . 4 E *Y- {ai }i2007 =0 6, , u P , @Gd , @Gd , , 5, , 2, , 1, , 0, , 2, " * 1, 1, 3, 6, 5802 , x y + ~b y 6, z xy z(x y), z(6, z), 6z z2 x y \ x y t2, (6, z)t (, 6z z2), 0 , -2 z 6 (6, z)2, 4(, 6z z2) 0 , x y 4, z 2, x b%H x y z 6 xy yz zx 0 z ~b * + , x2, y2, z2, (x y z)2, 2( xy yz zx), 36 \ x2, y2, 36, z2 , x y 2 6, z ~+ b (x , 'b + y 2 12 + 12 ( x + y ) 2 *b' x y = 1 1 )( ) (36 - z ) 2 ( 6 - z ) 2 2 -2 z 6 2, x= y=4 z , x2, y2, z2, (x y z)2, 2( xy yz zx), 36 \ x2, y2, 36, z2 xy z(x y), z(6, z), 6z z2 , x 2 + y 2 2 xy x y b' 4, z 36 - z 2 2( -6 z + z 2 ) 2, -2 z 6 , x2, y2, z2, (x y z)2, 2( xy yz zx), 36 \ x2, y2, z2, 36 b ) X b)X S x2, y2, z2, 36 , E x y z* b 6 X ) z , b , x , P, t , t , t, b , x* E x y , zb x, B, 0 , 6 , 0 , C, 0 , 0 , 6, E ABC * h F t, 2, A, 6 , 0 , 0, P, 2 , 2 , 2, , PC AB * b,x C AB xy P, z, CQ , Q, z, P B PQ AB Q, 4 , 4 , , 2 , * s ) , u Q, Q, , 2, o A Q , , 1. } * O : X) * 2. 3. , 7, ~ Z , 6, [email protected] @[@ . P u , 5, [email protected] @[@ , 4, , 0, 2, *OX) * : } , gsp ( 2 GSP4.06,x b ) 18 , 0 Fh 1 z -2 18 , * xb @ , 8, c *E - [ p * C , , , 3, 1, 4, E [ p * w E [ p * w Y E 1 x= y=4 z = -2 z 12 - 2 z 6 x,b 2 5803 * O AC Q, 3 cm , BD CD hl AQ BO BO AD B,C , AD ( BO B Os B AD QR = AD P, AB PC (* O3 R, Q R A B O C D * * : O X } ) [, P APC=APQ=ADQ=CDQ=QDC CAP=DAP=DQP=DQC=CQD APC QDC, 2 2 2 PC DC = PA DQ 2 2 2 PC = PB + BC = PB + BA = PA PC = PA DC = DQ RAC=QAD ARC=90=AQD RQ CD = AQD ARC, AQ AD AQ = AD - DQ = 36 - 4 = 4 2 2 4 2 RQ = 4 2 = 6 3 * O X ( } *: R ) 2 2 Q R S A B O C D P [, , PD ( QR = 1 AQ 3 BP = x, AP = 4 + x 2 , PD = 16 + x 2 AD x BP = AP PD AP = 2 3 = PC , PD = 2 6 AQC, PDC, 1 4 2 RQ = 4 2 = 3 3 , * O } X:*) . P:w*p[-EY` hG h (G* h (G* h (G* h ? (G* h ? (G* h (G* h 2 , , , , , , , , 2 * (fsh AQ AC AQ 4 = = AQ = 4 2 PD PC 2 6 2 3 ...7 0 ) * O } X:*) , , 7 7 7 7 7 7 7 7 7 , (G* h (G* h (G* h (G* h (G* h (G* h (G* h (G* h h , , , , , , , , , 7 7 7 7 4 4 4 4 5804 ? [, , n hG n n + 1, n + O 2X: h } 誻* * 2 2 2 2 0=0 +0, 1=0 +1, 2=1 +1] (, h G h ) 2 2 , 0 = 02 + 02 8 = 22 + 22 2 2 2 2 1=1 +0 , 9 = 3 +0 , ... 2 = 12 + 12 10 = 32 + 12 n = ( x - 1) 2 + y 2 2 2 n + 1 = x + 0 (x, y n + 2 = x 2 + 12 ) ..................() y2 2x+1+y2=(n+1)- 2x+1+y2 2x=y2+2 x= +1 n=x2- 2 x Xڻ* y Xڻ y=2m (m ), x=2m2+1 , , a a n = ( 2m 2 ) 2 + ( 2m ) 2 2 2 2 n + 1 = ( 2m + 1) + 0 (m n + 2 = ( 2m 2 + 1) 2 + 12 () ) , n n n+1, n+2 Ha * (m, n) = (0, 0), (1, 8), (2, 80), ... 80 = 8 2 + 4 2 2 2 81 = 9 + 0 2... 82 = 9 2 + 12 (m Ha * 0 = 02 + 02 8 = 22 + 22 2 2 2 2 1=1 +0 , 9 = 3 +0 , 2 = 12 + 12 10 = 32 + 12 Y* Ъ X h-E ) n = ( 2m 2 + 2m ) 2 + 0 2 2 2 2 n + 1 = ( 2m + 2m ) + 1 n + 2 = ( 2m 2 + 2m - 1) 2 + ( 2m + 1) 2 n = ( 2m 2 + 2m ) 2 + 0 2 2 2 2 n + 1 = ( 2m + 2m ) + 1 n + 2 = ( 2m 2 + 2m - 1) 2 + ( 2m + 1) 2 @-E+.:w*p[ h a x , , , [ @ P a x * a 7x 109 , , , x a 9, , a x * a, x 234 , , n = ( 2m 2 - 2m ) 2 + 0 2 2 2 2 n + 1 = ( 2m - 2 m ) + 1 n + 2 = ( 2m 2 - 2m - 1) 2 + ( 2m - 1) 2 n = (m 2 + m) 2 + (m 2 + m) 2 2 2 2 2 n + 1 = ( m + 2m) + ( m - 1) n + 2 = ( m 2 + m - 1) 2 + ( m 2 + m + 1) 2 x a 702 , , , 125 , a 5x m 7, 812 , , , , , 8, 810 , * a x 1180 , * a, x , 606 , * , x a 5805 , 16 @1 @ 7 j , 1 96 , a j 24 Hh * O 2 a HOh 8 3a * j j 32 + 24 + 20 + 8 + 8 + 4 * = 96 j ) EA A, B, C, D, E, Fj f= f= f= f= f= f= 2, 3, 4, 5, 4, 12 , B C B A B aj * 2a HOh * 8 j 32 20 Hh O 4a * j 2 2 a j 4 * j 2 , j ( , * 1 E -Z * j A , B , C , D , E , F B D E C E F B D E A B C B A D C E D B , 2 4 + 3 8 + 4 4 + 5 4 + 4 4 + 12 1 =* 96 h O 1..:@*p[-E - [ ) @ g @w @*p[-E - [ P @ g .: @w @ E -Z 2. (15 , ) , 7, 1 1 P7 P7 * 23 H h O @g @ @g @ E -+ E -+ @ @ & 6, @[ g @ f 5, g [ @@ W (4 , ), ( (4 , ) ' # E # E E p * w : E p * w :w E p * ...
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