题目内容
| x÷
|
|
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| 8×(
|
| 3-
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(
|
| (
|
|
考点:分数的四则混合运算
专题:运算顺序及法则
分析:(1)先化简,再根据等式的性质,两边同时除以
计算即可求解;
(2)根据等式的性质,两边同时乘以
计算即可求解;
(3)先化简,再根据等式的性质,两边同时减去
,两边再同时除以3计算即可求解;
(4)(5)将除法变为乘法,再根据乘法分配律计算即可求解;
(6)(7)根据乘法分配律计算即可求解;
(8)先算乘法,再根据减法的性质计算即可求解;
(9)先根据乘法分配律计算,再根据加法结合律计算;
(10)先算小括号里面的加法,再算中括号里面的乘法,最后计算括号外面的除法;
(11)先算小括号里面的除法和加法,再算括号外面的乘法;
(12)先算乘法,再算减法.
| 3 |
| 5 |
(2)根据等式的性质,两边同时乘以
| 3 |
| 4 |
(3)先化简,再根据等式的性质,两边同时减去
| 5 |
| 7 |
(4)(5)将除法变为乘法,再根据乘法分配律计算即可求解;
(6)(7)根据乘法分配律计算即可求解;
(8)先算乘法,再根据减法的性质计算即可求解;
(9)先根据乘法分配律计算,再根据加法结合律计算;
(10)先算小括号里面的加法,再算中括号里面的乘法,最后计算括号外面的除法;
(11)先算小括号里面的除法和加法,再算括号外面的乘法;
(12)先算乘法,再算减法.
解答:
解:(1)
x+
x=15
x=15
x=25
(2)x÷
=
x÷
×
=
×
x=
(3)
×5+3x=2
+3x=2
3x=
x=
(4)
÷
+
÷
=
×
+
×
=(
+
)×
=1×
=
(5)
×
+
÷3
=
×
+
×
=(
+
)×
=
×
=
(6)8×(
+
)
=8×
+8×
=1
+7
=8
(7)
×9+
=
×(9+1)
=
×10
=4
(8)3-
×
-
=3-
-
=3-(
+
)
=3-1
=2
(9)(
+
)×9+
=
×9+
×9+
=4+
+
=4+(
+
)
=4+1
=5
(10)
÷[
×(
+
)]
=
÷[
×
=
÷
=2
(11)(
+
÷
)×
=(
+
)×
=
×
=
(12)
×6-
=
×(6-1)
=
×5
=3
| 1 |
| 5 |
| 2 |
| 5 |
| 3 |
| 5 |
x=25
(2)x÷
| 3 |
| 4 |
| 8 |
| 15 |
x÷
| 3 |
| 4 |
| 3 |
| 4 |
| 8 |
| 15 |
| 3 |
| 4 |
x=
| 2 |
| 5 |
(3)
| 1 |
| 7 |
| 5 |
| 7 |
3x=
| 9 |
| 7 |
x=
| 3 |
| 7 |
(4)
| 2 |
| 3 |
| 5 |
| 8 |
| 1 |
| 3 |
| 5 |
| 8 |
=
| 2 |
| 3 |
| 8 |
| 5 |
| 1 |
| 3 |
| 8 |
| 5 |
=(
| 2 |
| 3 |
| 1 |
| 3 |
| 8 |
| 5 |
=1×
| 8 |
| 5 |
=
| 8 |
| 5 |
(5)
| 7 |
| 12 |
| 1 |
| 3 |
| 2 |
| 5 |
=
| 7 |
| 12 |
| 1 |
| 3 |
| 2 |
| 5 |
| 1 |
| 3 |
=(
| 7 |
| 12 |
| 2 |
| 5 |
| 1 |
| 3 |
=
| 59 |
| 60 |
| 1 |
| 3 |
=
| 59 |
| 180 |
(6)8×(
| 3 |
| 16 |
| 7 |
| 8 |
=8×
| 3 |
| 16 |
| 7 |
| 8 |
=1
| 1 |
| 2 |
=8
| 1 |
| 2 |
(7)
| 2 |
| 5 |
| 2 |
| 5 |
=
| 2 |
| 5 |
=
| 2 |
| 5 |
=4
(8)3-
| 10 |
| 21 |
| 3 |
| 2 |
| 2 |
| 7 |
=3-
| 5 |
| 7 |
| 2 |
| 7 |
=3-(
| 5 |
| 7 |
| 2 |
| 7 |
=3-1
=2
(9)(
| 4 |
| 9 |
| 1 |
| 23 |
| 14 |
| 23 |
=
| 4 |
| 9 |
| 1 |
| 23 |
| 14 |
| 23 |
=4+
| 9 |
| 23 |
| 14 |
| 23 |
=4+(
| 9 |
| 23 |
| 14 |
| 23 |
=4+1
=5
(10)
| 4 |
| 7 |
| 1 |
| 2 |
| 1 |
| 7 |
| 3 |
| 7 |
=
| 4 |
| 7 |
| 1 |
| 2 |
| 4 |
| 7 |
=
| 4 |
| 7 |
| 2 |
| 7 |
=2
(11)(
| 1 |
| 2 |
| 2 |
| 3 |
| 5 |
| 6 |
| 3 |
| 5 |
=(
| 1 |
| 2 |
| 4 |
| 5 |
| 3 |
| 5 |
=
| 13 |
| 10 |
| 3 |
| 5 |
=
| 39 |
| 50 |
(12)
| 3 |
| 5 |
| 3 |
| 5 |
=
| 3 |
| 5 |
=
| 3 |
| 5 |
=3
点评:考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算定律简便计算.
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