2015中考数学真题专题实数的运算-计算题5
2015中考数学真题专题实数的运算—计算题
1.(2010福建福州) 计算:|-3|+(-1) 0-9 【答案】原式=3+1-3=1
-2
2.(2010 福建德化)(1)(5分)计算: |-2|-(23) 0+(-) ;
1
2
【答案】解:原式=2-1+4=5
120
()-4--3÷-20103.(2010 福建晋江)(8分)计算:. 3
1
【答案】 解:原式=4-9÷-1
3
=4-9⨯3-1=-24
12-1
4.(2010 福建泉州南安)计算: (-1) ÷-(5-8) ⨯3+4.
4
1
【答案】解:原式=1⨯4-(-3) ⨯+2………………5分
3
=4+1+2…………… ……………7分 =7……………………………… … 9分
5.(2010年福建省泉州)
计算:|-3|+(π-3) 04⨯2-1. 【答案】
解:原式=3+1-
81
+4⨯ „„„„„„„„„„„„„„„„„(7分) 42
=4-2+2 „„„„„„„„„„„„„„„„„„„„„„(8分) =4 „„„„„„„„„„„„„„„„„„„„„„„„ (9分) 6.(2010 福建莆田)
计算:|2|【答案】
-22 1-21(-) +02-tan 60(π-3. 14) 27.(2010甘肃兰州)(本小题满分4分)—+2
【答案】(本题满分10分)
(1)(本小题满分4分)
解:原式=
2--1+4+ ……………………………………………2分
=2-+3+ ………………………………………………………3分 =5 …………………………………………………………………………4分
⎛1⎫
8. (2010 四川成都)计算:6tan 30︒+(3. 6-π)-+ ⎪.
⎝2⎭
-1
【答案】(1)解:原式
=6+1-2=3 9.(2010四川凉山)
计算:(cos 60) -1÷(-1) 2010+|2【答案】
(tan 30-
1) 0。
10.(
2010四川眉山)计算:(
【答案】
解:原式=3-1+ ……………………(4分)
=2
………………………………(6分) 11.(2010 四川南充)计算:
1-1
) -
2) 0(-2)
23
(-2
)
2
+
8cos30︒--3.
【答案】解:原式=4+2⨯8 =4+3 =1. 12. (2010四川宜宾)
-3
(1)计算:2010+1)0+(– 3) –1 – |2–2|–2sin45°
【答案】2010+1)0+(– 3–1 –
|2–2|–2sin45°
=1+(-324.
1
1
0-1
()13. (2010四川巴中)
-1) -2sin 45︒-
14
【答案】原式=32-1-2⨯
2-4 2
1-
14. (2010四川内江)已知a =() 1,b =2cos45°+1, c =(2010-π) 0,d =|1-2|.
3
(1)请化简这四个数;
(2)根据化简结果,列式表示这四个数中“有理数的和”与“无理数的积”的差,然后计算结果.
1-2
【答案】解:(1)a =() 1=3,b =2cos45°+1=2+12+1, c =(2010-π) 0=1,
32d =|12|=2-1 ······················································································································4分 (2)∵a ,c 为有理数,b ,d 为无理数, ························································································5分 ∴a +c -bd =3+1-2+1) (2-1) ·······························································································6分 =4-(2-1)
=3. ·······································································································································7分 15.(2010四川内江)已知非负数a ,b ,c 满足条件a +b =7,c -a =5,设S =a +b +c 的最大值为m ,最小值为n ,则m -n = . 【答案】7
16.(2010 四川绵阳)(1)计算:(π-2010)0 +(sin60︒)1-︱tan30︒-︱+.
-
【答案】(1)原式= 1 +(
223-1322= 3 += 3. ) -|-|+ 2 = 3 +--
2333317.(2010四川 泸州) 计算:(-1)2010+-
3) -1
【答案】(-1)2010+-
3) -1 =1+3-4+(=1+3-4+2=2
1-1
18.(2010 四川自贡)计算(π-2) °+() -27cos30°
3
12
)-1
【答案】-
1 2
19.(2010四川广安)
计算:|-
1|(π+4) 0-sin 300.
2【答案】|-
1|(π+4) 0-sin 300+ 2=
11
-3+1-+2+1 22
=2-1
20.(2010四川达州)
计算:(-1) 2010-1) 0. 【答案】解: 原式=1-1 =0.
1-1
) --3-20100+2 4
【答案】解:原式 = -4-3-1+2 = -6
1-10
22.(2010云南曲靖)计算:-(-2) +(-1) -()
3
21. (2010云南昆明)
计算:(-【答案】解:原式=3+2+1-3 =3 23.(2010宁夏回族自治区)
1
计算:(π-3.14) 0+(-) -1-
2
【答案】解:原式=1+32+(-2) -(2-1)
=1+2-2-2+1
=22
-1044
24.(2010青海西宁)计算:() -(3. 14-π) +0. 25⨯4
1
2
4
【答案】. 解:原式=2-1+((⨯4) = 2-1+1 = 2
14
25.(2010贵州遵义)计算:∣-22∣--2-1+(3-2)0 【答案】解:原式
=1
+1„„„„„„„„„„„„„„„4分 2
=
1
„„„„„„„„„„„„„„„„„„„„„„6分 2
26.(2010贵州铜仁) (-2010) 0+│1
2sin60°
=0
【答案】解:原式=1
1-2
1
27.(2010辽宁本溪)
3⨯(-) -2-(2010-π) 0-4sin 45︒.
3
【答案】
⎛1⎫
28.(2010内蒙呼和浩特)
计算:(2010-π) 0- ⎪+2cos60︒2.
⎝2⎭
【答案】解:原式=1-2+1
2)„„„„„„„„„„„„3分
2
=2
5分
o -20
29.(2010内蒙赤峰)计算:-2-4sin 45-() +22-(3-2)
-1
1
2
【答案】解:原式=2-4⨯
2
-4+22-1„„„„„„„„„„„„„„„„„„3分 2
13
=-3 „„„„„„„„„„„„„„„„„„„„„„„„„„1分
2-10
30.(2010鄂尔多斯)计算:-2+-27-() ⨯(π-2)
2-10【答案】(1)计算:-2+3-27-() ⨯(π-2)
1
3
解:原式=-4-3-3=-10