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First, 2-ab +(b+1)2=0 can push out b = -1 a = -2
As prompted, consider b = a + 1, then 1 (a-x)(b-x) = 1 (a-x)(a-x+1) = 1 (a-x) -1 (a-x+1).
Here x refers to the number in the range 0-2010.
So the original formula is decomposed as -> 1 a - 1 (a+1) +1 (a-1)-1 a + 1 (a-2) -1 (a-1).
1/(a-3) -1/(a-2) +1/(a-2010) -1/(a-2009)
The positive terms are 1 a + 1 (a-1) +1 (a-2) +1 (a-2010).
The negative term is - 1 (a+1)-1 a - 1 (a-1).
After the intermediate offset, it is 1 (a-2010) -1 (a+1) = - 1 2012 + 1 = 2011 2012
The idea is this, the landlord can check for himself if there is a problem.
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Because |2-2b|Greater than or equal to 0, so b=1(b+1) squared is greater than or equal to 0, so b=-1
So this question was wrong from the beginning.
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2-2b +(b+1)2=0 Error.
Find 1 ab+1 (a-1)(b-1)+1 (a-2)(b-2)+....The value of 1 (a-2010) (b-2010) (hint 1 n(n+1) = 1 n-1 n+1 less condition.
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5. When A moves to B, the length of one AB is moved, and when B moves to A, the length of another AB is moved, so the length of 3 wooden strips = (20-5) 3=5
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[5 k-n]= [5 k] n (n is a positive integer) when k 2, xk=xk-1+1-5= xk-1+1-5xk-1+1-5= xk-1+1-5(-1+2)= xk-1-4 In the same way, yk=yk-1+[5 k-1]-[5 k-2]= yk-1+1 When x=1, x1=1, y1=1;
When x=2, x2=1-4=-3 , y2=1+1=2;
When x=3, x3=1-4 2= -7 , y3=1+1 2=3;
When x=4, x4=1-4 3= -11 , y4=1+1 3=4;
When x= n, xn=1-4 (n-1)=5-4n , yn=1+1 (n-1)=n;
When x= 10, x10=5-4 10= - 45, y10=10;
When x= 2009, x2009=5-4 2009=-8031, y2009=2009
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x(k)=x(k-1)+1-5[t[(k-1)/5]-t[(k-2)/5]],y(k)=y(k-1)+t[(k-1)/5]-t[(k-2)/5].
I guess so
t[(k-1) 5] is equation (1).
t[(k-1) 5] is equation (2).
Let n be a positive integer.
2t[(k-1)/5]-t[(k-2)/5]=1x=6-5=1
y=1+1=2
When n5+1t[(k-1) 5]-t[(k-2) 5]=0x=k-5n
y=1+n
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