初二下数学分式方程计算题[ ( x-4 ) / ( x^2 - 1 ) ] ÷ [ ( x^2 - 3x - 4 ) / ( x^2 + 2x + 1 ) ] + (1 / x-1 )其中 x = 2√2 + 1

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初二下数学分式方程计算题[ ( x-4 ) / ( x^2 - 1 ) ] ÷ [ ( x^2 - 3x - 4 ) / ( x^2 + 2x + 1 ) ] + (1 / x-1 )其中 x = 2√2 + 1
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初二下数学分式方程计算题[ ( x-4 ) / ( x^2 - 1 ) ] ÷ [ ( x^2 - 3x - 4 ) / ( x^2 + 2x + 1 ) ] + (1 / x-1 )其中 x = 2√2 + 1
初二下数学分式方程计算题
[ ( x-4 ) / ( x^2 - 1 ) ] ÷ [ ( x^2 - 3x - 4 ) / ( x^2 + 2x + 1 ) ] + (1 / x-1 )
其中 x = 2√2 + 1

初二下数学分式方程计算题[ ( x-4 ) / ( x^2 - 1 ) ] ÷ [ ( x^2 - 3x - 4 ) / ( x^2 + 2x + 1 ) ] + (1 / x-1 )其中 x = 2√2 + 1
[ ( x-4 ) / ( x^2 - 1 ) ] ÷ [ ( x^2 - 3x - 4 ) / ( x^2 + 2x + 1 ) ] + (1 / x-1 )
=(x-4)/[(x+1)(x-1)×(x+1)²/[(x-4)(x+1)]+1/(x-1)
=1/(x-1)+1/(x-1)
=2/(x-1)
2/2√2
=√2/2

[ ( x-4 ) / ( x^2 - 1 ) ] ÷ [ ( x^2 - 3x - 4 ) / ( x^2 + 2x + 1 ) ] + 1 /( x-1 )
=[ ( x-4 ) / ( x^2 - 1 ) ] [ ( x^2 + 2x + 1 )/ ( x^2 - 3x - 4 ) ] + 1 /( x-1 )
=[ ( x-4 ) / (x+...

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[ ( x-4 ) / ( x^2 - 1 ) ] ÷ [ ( x^2 - 3x - 4 ) / ( x^2 + 2x + 1 ) ] + 1 /( x-1 )
=[ ( x-4 ) / ( x^2 - 1 ) ] [ ( x^2 + 2x + 1 )/ ( x^2 - 3x - 4 ) ] + 1 /( x-1 )
=[ ( x-4 ) / (x+ 1 ) (x-1)] [ ( x + 1 )^2/ ( x+1)(x - 4 ) ] + 1 /( x-1 )
=1 /( x-1 )+ 1 /( x-1 )
=2 /( x-1 )
当x = 2√2 + 1时,原式= (√2) /2

收起

√2/2