内容正文:
小升初重点专题练习----较复杂的计算
一、四则混合运算。
[1-(3.1-3.09)]÷ ÷
800-345÷15×8+263 ×34++65÷4
19÷[(+)÷]
4.5÷[(-3÷7.5)×3] 4+×-÷-
〔20.14×(-0.75)+20.14÷〕×( ÷)
〔3.14+(3.14-3.14)×3.14〕÷3.14
二、简便计算。
×3.2+5.6×0.5+1.2×50%
×29×23
139×-137× 3.75×735-×5730+16.2×62.5
999×274+1274 2017÷2017
148×+86×+74× (2+3+1)÷(++)
三、较复杂的计算。
1994×
四、分数裂项。
55×(++++)
五、换元法解题。
20142014×20142013-20142015×20142012
(0.1+0.12+0.123+0.1234)×(0.12+0.123+0.1234+0.12345)-(0.1+0.12+0.123+01234+0.12345)×(0.12+0.123+0.1234)
(1+)×()-(1+++)×()
六、重码数。
七、定义新运算。
已知:如果规定一种新运算※,定义x※y=xy﹣2。根据运算符号的意义完成下列各题。
(1)求2※4 的值;
(2)求(1※5)※6的值;
(3)3※m=13求m的值。
参考答案:
一、四则混合运算。
0 0.594 879 25 150 10 12.5 0 40.28 1
二、简便计算。
÷19+ ×+×+×
=19×-×+ =×
=1-+ =×
=1+ =
=1
×3.2+5.6×0.5+1.2×50%
=×(3.2+5.6+1.2) =2377×2.84+2.84×126-2.84×3
=×10 =2.84×(2377+126-3)
=5 =2.84×2500
=7100
×29×23
=×29×23+×29×23
=46+87
=133
=
=(-)+(-)-(+)
=(76-53)×+(76-23)×-(23+53)×
=23×+53×-76×
=1+1-1
=1
139×-137×
=137×-137×
=(-)×137
=1×137
=137
3.75×735-×5730+16.2×62.5
=0.375×7350-0.375×5730+16.2×62.5
=0.375×(7350-5730)+16.2×62.5
=0.375×1620+16.2×62.5
=37.5×16.2+16.2×62.5
=(37.5+62.5)×16.2
=100×16.2
=1620
999×274+1274
=999×274+274+1000
=(999+1)×274+1000
=(274+1)×1000
=275×1000
=275000
2017÷2017
=2017÷
=2017×
=
=
=
=
=1+
=10
=
=
=
=28+
=28
148×+86×+74×
=39×+86×+24×
=(39+86+24)×
=149×
=148
(2+3+1