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如果x=300,则xx−3-x+6x2−3x+1x的值为()A.0B.101990C.111110D.101100

题目详情
x
x−3
-
x+6
x2−3x
+
1
x
的值为(  )
A. 0
B.
101
990

C.
111
110

D.
101
100
x
x−3
xxx−3x−3
x+6
x2−3x
+
1
x
的值为(  )
A. 0
B.
101
990

C.
111
110

D.
101
100
x+6
x2−3x
x+6x+6x2−3xx2−3xx2−3xx2−3x2−3x
1
x
的值为(  )
A. 0
B.
101
990

C.
111
110

D.
101
100
1
x
11xx

101
990

C.
111
110

D.
101
100
101
990
101101990990
111
110

D.
101
100
111
110
111111110110
101
100
101
100
101101100100
▼优质解答
答案和解析
原式=
x
x−3
-
x+6
x(x−3)
+
1
x

=
x2
x(x−3)
-
x+6
x(x−3)
+
x−3
x(x−3)

=
x2−x−6+x−3
x(x−3)

=
x2−9
x(x−3)

=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
x
x−3
xxxx−3x−3x−3-
x+6
x(x−3)
+
1
x

=
x2
x(x−3)
-
x+6
x(x−3)
+
x−3
x(x−3)

=
x2−x−6+x−3
x(x−3)

=
x2−9
x(x−3)

=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
x+6
x(x−3)
x+6x+6x+6x(x−3)x(x−3)x(x−3)+
1
x

=
x2
x(x−3)
-
x+6
x(x−3)
+
x−3
x(x−3)

=
x2−x−6+x−3
x(x−3)

=
x2−9
x(x−3)

=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
1
x
111xxx
=
x2
x(x−3)
-
x+6
x(x−3)
+
x−3
x(x−3)

=
x2−x−6+x−3
x(x−3)

=
x2−9
x(x−3)

=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
x2
x(x−3)
x2x2x22x(x−3)x(x−3)x(x−3)-
x+6
x(x−3)
+
x−3
x(x−3)

=
x2−x−6+x−3
x(x−3)

=
x2−9
x(x−3)

=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
x+6
x(x−3)
x+6x+6x+6x(x−3)x(x−3)x(x−3)+
x−3
x(x−3)

=
x2−x−6+x−3
x(x−3)

=
x2−9
x(x−3)

=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
x−3
x(x−3)
x−3x−3x−3x(x−3)x(x−3)x(x−3)
=
x2−x−6+x−3
x(x−3)

=
x2−9
x(x−3)

=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
x2−x−6+x−3
x(x−3)
x2−x−6+x−3x2−x−6+x−3x2−x−6+x−32−x−6+x−3x(x−3)x(x−3)x(x−3)
=
x2−9
x(x−3)

=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
x2−9
x(x−3)
x2−9x2−9x2−92−9x(x−3)x(x−3)x(x−3)
=
(x−3)(x+3)
x(x−3)

=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
(x−3)(x+3)
x(x−3)
(x−3)(x+3)(x−3)(x+3)(x−3)(x+3)x(x−3)x(x−3)x(x−3)
=
x+3
x

当x=300时,原式=
303
300
=
101
100

故选D.
x+3
x
x+3x+3x+3xxx,
当x=300时,原式=
303
300
=
101
100

故选D.
303
300
303303303300300300=
101
100

故选D.
101
100
101101101100100100,
故选D.