数学分时根式化简

来源:百度知道 编辑:UC知道 时间:2024/06/20 15:25:06
1.若a/b+c+d=b/a+c+d=c/a+b+d=d/a+b+c=n 则n的值一定为??

2.化简 √6+4√3+3√2/(√6+√3)(√3+√2) √是根号的意思 /是分数线

3.已知xy/x-y=-1/3 则 2x+3xy-2y/x-y-2xy =?

4.一直 y1=2x y2=2/y1 y3=2/y2 ...... y2000=2/y1999 则 y99*y2000=?

5.已知 1/a-1/b=1 则a-2ab-b/2a-3ab-2b=?

因为a/(b+c+d)=b/(a+c+d)
所以{a/(b+c+d)} +1 = {b/(a+c+d)} +1
所以{a/(b+c+d)} + {(b+c+d)/(b+c+d)} = {b/(a+c+d)} + {(a+c+d)/(a+c+d)}
所以 (a+b+c+d)/(b+c+d) = (a+b+c+d) / (a+c+d)
所以 (b+c+d)*(a+b+c+d) = (a+b+c+d)*(a+c+d) 分子分母交叉相乘
当(a+b+c+d) 不等于 0 时
所以 (b+c+d) = (a+c+d)
所以 a=b
类似可得 a=b=c=d
所以n= 1/3
当(a+b+c+d) 等于 0 时 无解 ----舍去

(√6+4√3+3√2)/[(√6+√3)(√3+√2)]
=[(√6+√3)+3(√3+√2)]/[(√6+√3)(√3+√2)]
=(√6+√3)/[(√6+√3)(√3+√2)]+3(√3+√2)/[(√6+√3)(√3+√2)]
=1/(√3+√2)+3/(√6+√3)
=√3-√2+√6-√3
=√6-√2

解:
xy/x-y=-1/3取倒数
x-y/xy=-3
1/x-1/y=3

分子和分母同时除以xy
(2x+3xy-2y)/(x-2xy-y)
=(2/y+3-2/x)/(1/y-2-1/x)
=(-6+3)/(-3-2)=3/5

1/a-1/b=1,
(b-a)/ab=1
b-a=ab
a-b=-ab

2a+3ab-2b/a-2ab-b
=(-2ab+3ab)/(-ab-2ab)
=ab/-3ab
=-1/3

1.因为a/(b+c+d)=b/(a+c+d)
所以{a/(b+c+d)} +1 = {b/(a+c+d)} +1
所以{a/(b+c+d)} + {(b+c+d)/(b+c+d)} = {b