1.对于任意的两个数A和B,规定A△B=3×A−B÷3,求下面各式的值。
8△9 7△12
8△9 7△12
答案:
8△9 = 3×8 - 9÷3
= 24 - 3
= 21
7△12 = 3×7 - 12÷3
= 21 - 4
= 17
= 24 - 3
= 21
7△12 = 3×7 - 12÷3
= 21 - 4
= 17
2.已知A___B=(A + B)÷(A - B),求下面各式的值。
12____6 2____1____1
20____(10____9) (5____3)____(6____2)
12____6 2____1____1
20____(10____9) (5____3)____(6____2)
答案:
12
6 = (12 + 6)÷(12 - 6)
= 18÷6
= 3
2
1
1 = [(2 + 1)÷(2 - 1)]
1
= [3÷1]
1
= 3
1
= (3 + 1)÷(3 - 1)
= 4÷2
= 2
20
(10
9) = 20
[(10 + 9)÷(10 - 9)]
= 20
[19÷1]
= 20
19
= (20 + 19)÷(20 - 19)
= 39÷1
= 39
(5
3)
(6
2) = [(5 + 3)÷(5 - 3)]
[(6 + 2)÷(6 - 2)]
= [8÷2]
[8÷4]
= 4
2
= (4 + 2)÷(4 - 2)
= 6÷2
= 3
12
= 18÷6
= 3
2
= [3÷1]
= 3
= (3 + 1)÷(3 - 1)
= 4÷2
= 2
20
= 20
= 20
= (20 + 19)÷(20 - 19)
= 39÷1
= 39
(5
= [8÷2]
= 4
= (4 + 2)÷(4 - 2)
= 6÷2
= 3
3.已知x☆y=x÷(x−y),求下面各式的值。
24☆20 4☆(50☆25)
24☆20 4☆(50☆25)
答案:
24
20 = 24÷(24 - 20)
= 24÷4
= 6
4
(50
25) = 4
[50÷(50 - 25)]
= 4
[50÷25]
= 4
2
= 4÷(4 - 2)
= 4÷2
= 2
24
= 24÷4
= 6
4
= 4
= 4
= 4÷(4 - 2)
= 4÷2
= 2
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