初二上数学计算题50道有答案求解
2012-02-07
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解方程√3 X-1=√2 X
求X
{√5 X-3√ Y=1}
{√3 X-√5 Y=2}
注:X全部不在根号内
√(1/2x)^2+10/9x^2
=√[1/(4x^2)+10/(9x^2)]
=√49/36x^2
若x>0,=7/(6x)
若x<0,=-7/(6x)
√a^4mb^2n+1
=√(a^2mb^n)^2+1
=a^2mb^n+1
√(4a^5+8a^4)(a^2+3a+2)
=√[4a^4(a+2)][(a+2)(a+1)]
=√[4a^4(a+2)^2(a+1)]
=2a^2(a+2)√(a+1)
. 3√(1/6)-4√(50)+30√(2/3)
答案3√(1/6)-4√(50)+30√(2/3)
= 3×√6/6-4×5√2+30×√6/3
=√6/2-20√2+10√6
2. (1-根号2)/2乘以(1+根号2)/2
题是这样的二分之一减根号2乘以二分之一加根号2
答案:(1-根号2)/2乘以(1+根号2)/2
=(1-√2)*(1-√2)/4
=(1-2)/4
=-1/4
1.3√(1/6)-4√(50)+30√(2/3) 答案3√(1/6)-4√(50)+30√(2/3) = 3×√6/6-4×5√2+30×√6/3 =√6/2-20√2+10√6 2. (1-根号2)/2乘以(1+根号2)/2 题是这样的二分之一减根号2乘以二分之一加根号2 答案:(1-根号2)/2乘以(1+根号2)/2 =(1-√2)*(1-√2)/4 =(1-2)/4 =-1/4 3.√(1/2x)^2+10/9x^2 √[(1/2x)^2+10/9x^2] =√(x^2/4+10x^2/9) =√(9x^2/36+40x^2/36) =√(49x^2/36) =7x/6; 4.√a^4mb^2n+1(a、b为正数) [√(a^4mb^2n)]+1(a、b为正数) =a^2mb^n+1; 5.√(4a^5+8a^4)(a^2+3a+2)(a>=0) √[(4a^5+8a^4)(a^2+3a+2)](a>=0) =√[4a^4(a+2)(a+2)(a+1)] =√[(2a^2)^2(a+2)^2(a+1)] =2a^2(a+2)√(a+1).
求X
{√5 X-3√ Y=1}
{√3 X-√5 Y=2}
注:X全部不在根号内
√(1/2x)^2+10/9x^2
=√[1/(4x^2)+10/(9x^2)]
=√49/36x^2
若x>0,=7/(6x)
若x<0,=-7/(6x)
√a^4mb^2n+1
=√(a^2mb^n)^2+1
=a^2mb^n+1
√(4a^5+8a^4)(a^2+3a+2)
=√[4a^4(a+2)][(a+2)(a+1)]
=√[4a^4(a+2)^2(a+1)]
=2a^2(a+2)√(a+1)
. 3√(1/6)-4√(50)+30√(2/3)
答案3√(1/6)-4√(50)+30√(2/3)
= 3×√6/6-4×5√2+30×√6/3
=√6/2-20√2+10√6
2. (1-根号2)/2乘以(1+根号2)/2
题是这样的二分之一减根号2乘以二分之一加根号2
答案:(1-根号2)/2乘以(1+根号2)/2
=(1-√2)*(1-√2)/4
=(1-2)/4
=-1/4
1.3√(1/6)-4√(50)+30√(2/3) 答案3√(1/6)-4√(50)+30√(2/3) = 3×√6/6-4×5√2+30×√6/3 =√6/2-20√2+10√6 2. (1-根号2)/2乘以(1+根号2)/2 题是这样的二分之一减根号2乘以二分之一加根号2 答案:(1-根号2)/2乘以(1+根号2)/2 =(1-√2)*(1-√2)/4 =(1-2)/4 =-1/4 3.√(1/2x)^2+10/9x^2 √[(1/2x)^2+10/9x^2] =√(x^2/4+10x^2/9) =√(9x^2/36+40x^2/36) =√(49x^2/36) =7x/6; 4.√a^4mb^2n+1(a、b为正数) [√(a^4mb^2n)]+1(a、b为正数) =a^2mb^n+1; 5.√(4a^5+8a^4)(a^2+3a+2)(a>=0) √[(4a^5+8a^4)(a^2+3a+2)](a>=0) =√[4a^4(a+2)(a+2)(a+1)] =√[(2a^2)^2(a+2)^2(a+1)] =2a^2(a+2)√(a+1).
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