题目内容
计算或化简:(1)
| 12 |
| 18 |
| 0.5 |
| 3 | ||
|
(2)(2
| 5 |
| 3 |
| 5 |
| 3 |
(3)
| 18 |
| 2 | ||
|
| ||
| 2 |
| 5 |
分析:本题考查二次根式的化简,根据实数的运算法则及二次根式的乘法运算,第(2)题中运用平方差公式计算,第三题中要注意(
-1)0=1.
| 5 |
解答:解:(1)
-
-
+
=2
-3
-
+
=3
-
;
(2)(2
+3
)2-(2
-3
)2
=(2
+3
+2
-3
)(2
+3
-2
+3
)
=4
×6
=24
;
(3)
-
-
+(
-1)0
=3
-
-
+1
=
+1.
| 12 |
| 18 |
| 0.5 |
| 3 | ||
|
| 3 |
| 2 |
| ||
| 2 |
| 3 |
| 3 |
7
| ||
| 2 |
(2)(2
| 5 |
| 3 |
| 5 |
| 3 |
=(2
| 5 |
| 3 |
| 5 |
| 3 |
| 5 |
| 3 |
| 5 |
| 3 |
=4
| 5 |
| 3 |
=24
| 15 |
(3)
| 18 |
| 2 | ||
|
| ||
| 2 |
| 5 |
=3
| 2 |
| 2 |
| 2 |
=
| 2 |
点评:涉及知识:任何非0数的0次幂等于1,二次根式的化简.平方差公式.
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