内容正文:
第2课时 比例的基本性质
比例
4
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优翼文化
一
复习导入
10 : 4 = 2.5
你能写出几个比值是2.5的比吗?
15 : 6 = 2.5
8 :3.2 = 2.5
你能把它们组成比例吗?
优翼文化
二
探究新知
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2.4 : 1.6 = 60 : 40
内项
外项
两端的两项叫做比例的外项,中间的两项叫做比例的内项。
组成比例的四个数,叫做比例的项。
二
探究新知
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2.4 : 1.6 = 60 : 40
内项
外项
把这个比例写成分数形式:
2.4和40仍然是外项,1.6和60仍然是内项。
2.4
1.6
=
60
40
二
探究新知
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计算下面比例中两个外项的积和两个内项的积。
比较一下,你能发现什么?
外项积是:
2.4×40=96
1.6×60=96
2.4 : 1.6 = 60 : 40
(1)
内项积是:
外项积是:
内项积是:
3×15=45
5×9 = 45
1
(2)
二
探究新知
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外项积是:
2.4×40=96
1.6×60=96
2.4 : 1.6 = 60 : 40
(1)
内项积是:
外项积是:
内项积是:
(2)
3×15=45
5×9 = 45
在比例里,两个外项的积等于两个内项的积。这叫做比例的基本性质。
二
探究新知
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你能用字母表示这个性质吗?
用字母表示比例的基本性质:
a∶b=c∶d(b、d≠0)
=
或
ad=bc
三
对应练习
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做一做
优翼
(1)6:3和8:5
6×5=30
3×8=24
不能组成比例
(2)0.2:2.5和4:50
0.2×50=10
2.5×4=10
可以组成比例
应用比例的基本性质,判断下面哪组中的两个比可以组成比例。
三
对应练习
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