计算:√(1+19992+19992/20002)-1/2000

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计算:√(1+19992+19992/20002)-1/2000
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计算:√(1+19992+19992/20002)-1/2000
计算:√(1+19992+19992/20002)-1/2000

计算:√(1+19992+19992/20002)-1/2000
令a=1999
b=2000
则1+1999²+1999²/2000²
=1+a²+a²/b²
=(b²+a²b²+a²)/b²
=(b²-2ab+a²+2ab+a²b²)/b²
=[(b-a)²+2ab+a²b²]/b²
=(1²+2ab+a²b²)/b²
=(ab+1)²/b²
所以原式= (ab+1)/b-1/b
=ab/b
=a
=1999

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