【文档说明】2022年中考数学一轮复习习题精选《实数的运算(含二次根式)》(含答案).doc,共(22)页,650.000 KB,由MTyang资料小铺上传
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一、选择题1.(燕山地区一模)实数a,b在数轴上对应的点的位置如图所示,则正确的结论是A.0baB.2aC.bD.0ba答案:D2.(市怀柔区初二期末)下列运算结果正确的是A.9)9(2
B.2(2)2C.623D.525答案:B3.(市门头沟区八年级期末)9的平方根是A.3B.3C.3D.81答案:B4.(市石景山区初二期末)估计13的值在A.1和2之间B.2和3之间C.3和4之间D.4和5之间答案:C5.(延庆区八年级
第一学区期末)下列变形中,正确的是A.(23)2=2×3=6B.2)52(=-52C.169=169D.)4()9(=49答案:D6.(市顺义区八年级期末)下列运算错误的是A.236B.623C.235D.2(2)2答案:C7.(怀柔区初一第一学期期末)4.观察
算式28)25(71)4(,在解题过程中,能使运算变得简便的运算律是A.乘法交换律B.乘法结合律C.乘法交换律、结合律D.乘法对加法的分配律答案C8.(平谷区初一第一学期期末)下列算式中,运算结果为负数
的是()A.(2)ba-5-4-3-2-15432102题图B.2C.3(2)D.2(2)答案C9.(石景山区初一第一学期期末)2.计算11001010,结果正确的是A.100B.10
0C.1D.1答案:D10.(平谷区初一第一学期期末)计算221=答案:41二、填空题11.(平谷区初一第一学期期末)10.小丽家冰箱冷冻室温度为-5℃,调高4℃后的温度为___________.答案:-1℃12.(平谷区初一第一学期期末)13.已知02)1(2yx,则y
x的值为答案:113.(怀柔区初一第一学期期末)16.学习了有理数的运算后,老师出了一道题:计算-5-3的值,小罗同学是这样做的:-5-3=-5+(-3)=-8,他的理由是:减去一个数等于加上这个数的相反数.聪明的你还有什么方法计算此题?请写出你的计算过程:,你这样计算的理
由是:.答案:-5-3=-(5+3)=-8(1)添上前面带有“-”号的括号时,括号内各数的符号都要改变.(2)同号的两数相加,符号不变,并把两个加数的绝对值相加.(答案不唯一)14.(海淀区七年级第一学期期末)16.规定图形b
ca表示运算abc,图形zywx表示运算xzyw.则132+4576=________________(直接写出答案).答案:8;15、(延庆区初一第一学期期末)16.按下面的程序计算:NoYes>149计算4x-2的值输入
x输出结果如果输入x的值是正整数,输出结果是150,那么满足条件的x的值有个.答案:316.(市大兴区检测)计算:013118272.答案32217、(大兴第一学期期末)10.计算:2sin60°-tan45
°+4cos30°=__________.答案:33-118.(朝阳区七年级第一学期期末)11.计算11512________.436答案:919.(昌平区初二年级期末)计算123=
.答案:3320.(市丰台区初二期末)计算2(5)的结果是.答案:521.(市丰台区初二期末)一个正方形的面积是10cm2,那么这个正方形的边长约是cm.(结果保留一位小数)答案:3.222.(市怀柔区初二期末)-4没有平方根的理由是.答案:因为任何一个实数的
平方都是一个非负数(或任何一个实数的平方都不等于-4)23..(市怀柔区初二期末)比7大且比10小的整数是____________.答案:324.(市石景山区初二期末)写出两个无理数,使得它们的和为有理数,则这两个无理数可以为①_______________;②_______________.
解:31;23(答案不唯一)25.(市平谷区初二期末)计算32yx=___________解:338yx26、(市顺义区八年级期末)计算:2(32)=.答案:52627、.(市顺义区八年级期末)若实数xy
,满足350xy,则代数式2xy的值是.答案:1528.(延庆区八年级第一学区期末)小明编写了一个如下程序:输入x→2x→立方根→倒数→算术平方根→21,则x为.答案:±8三、解答题29.(昌平区初一第一学期期末)计算:-3-2+(-4)-(-1).答案:解:原式=-3-2-4+1„„
„„„„„„„„2分=-5-4+1„„„„„„„„„„3分=-9+1„„„„„„„„„„4分=-8.„„„„„„„„„„5分30.(昌平区初一第一学期期末)18.计算:(-3)×6÷(-2)×12.答案:解:原式
=11822()„„„„„„„„„„2分=192„„„„„„„„„„4分=92.„„„„„„„„„„5分31.(昌平区初一第一学期期末)19.计算:153(24)368.答案:解:原式=153242424368„
„„„„„„„„„1分=8–20+9„„„„„„„„„„4分=-3.„„„„„„„„„„5分32.(昌平区初一第一学期期末)计算:213(12)6(1)2.答案:解:原式=19+12+62„„„„„„„„„„3分=-9-6+6„„
„„„„„„„„4分=-9.„„„„„„„„„„5分33.(朝阳区七年级第一学期期末)计算:41230(5).答案:解:原式1(2)(6)268.34.(东城区初一第一学期期末)计算题:(1)10﹣(﹣5)+(
﹣9)+6;(2)﹣14﹣5×[2﹣(﹣3)2];(3)626172+--+-5353()()().答案:(1)10﹣(﹣5)+(﹣9)+6.解:原式=10+5﹣9+6………2分=12.………3分(2)﹣14﹣5×[2﹣(﹣3)2].解:原式=﹣1﹣5×(2﹣9)………2分=﹣
1+35=34.………3分(3)626172+--+-5353()()().解:原式=6217-2+533………1分=-2-6………2分=-8.………3分35.(丰台区初一第一学期期末)计算:376.答案:解:原式=6–7–3
……2分=–4.……3分36.(丰台区初一第一学期期末)20.计算:32652118.答案.解:原式=–9+15–12……3分=–6.……4分37.(丰台区初一第一学期期末)21.计算:4832116
.答案.解:原式=483216……2分=12–4……3分=8.……4分38.(丰台区初一第一学期期末)22.计算:23234332.答案.解:原式=22789
43……2分=23843……3分=3243=21.……4分39.(海淀区七年级第一学期期末)19.计算:(1)21862;(2)411293
.答案.解:(1)21862436…………………………………..2分40…………………………………..3分(2)411293169…………………………………..2分594………………………
…………..3分40.(怀柔区初一第一学期期末)17.计算:13(15)(23).答案.解:原式=13-15+23„„„„„„„„„„„„„„3分=21„„„„„„„„„„„„„„4分41.(怀柔区初一第一学期期末)18.计算:5
33()(1)64.答案.解:原式=54()27„„„„„„„„„„„„„„3分=107„„„„„„„„„„„„„„4分42.(怀柔区初一第一学期期末)计算:23133(2)4.答案解:原式=19384()=32„„„„„„„„„„„
„„„3分=-1„„„„„„„„„„„„„„4分43.(怀柔区初一第一学期期末)计算:13116()64124.答案解:原式1316()46412„„„„„„„„„„„„„„„„1分13124()6412„„„„„„„„„„„„„„
„„2分4182„„„„„„„„„„„„„„„„„„„„„3分12„„„„„„„„„„„„„„„„„„„„„„4分44.(门头沟区七年级第一学期期末)计算:(1)482;(2)1361242
.答案:(1)4+8+2;解:原式=482„„„„„„„„„„„„„„„„„„„„„„„„„1分=122=14.„„„„„„„„„„„„„„„„„„„„„„„„„„„2分(
2)136+1242;解:原式=32„„„„„„„„„„„„„„„„„„„„„„„„„„2分=5„„„„„„„„„„„„„„„„„„„„„„„„„„„„3分45.(门头沟区七年级第一学期期末)
19.计算:(1)231243412;(2)2442313.答案:(1)231243412;解:原式=16+18+2„„„„„„„„„„„„„„„„„„„„„
„„„„3分=4„„„„„„„„„„„„„„„„„„„„„„„„„„„„4分(2)2442313.解:原式=1641„„„„„„„„„„„„„„„„„„„„„„„„3分=165
„„„„„„„„„„„„„„„„„„„„„„„„„4分=16+5=11„„„„„„„„„„„„„„„„„„„„„„„„„„„„5分46.(平谷区初一第一学期期末)17.计算:)()(1712129175答案解:)()(1712129175171212917
5„„„„„„„„„„„„„„„„„„„„„„2=1-9-12„„„„„„„„„„„„„„„„„„„„„„„„„3=1-21„„„„„„„„„„„„„„„„„„„„„„„„„„4=-20„„„„„„„„„„„„„„„„„
„„„„„„„547.(平谷区初一第一学期期末)18.计算:8)41()2(163答案解:8)41()2(163=8)41()8(16„„„„„„„„„„„„„„„„„2=)2()8(16„„
„„„„„„„„„„„„„„„„„„„3=-2-2„„„„„„„„„„„„„„„„„„„„„„„„„„4=-4„„„„„„„„„„„„„„„„„„„„„„„„„„„548.(平谷区初一第一学期期末)计算:)24()872161
(.答案解:)24()872161(=)24(87)24(21)24(61„„„„„„„„„„„„„„„„„3=-4-12+21„„„„„„„„„„„„„„„„„„„„„„„„
4=5„„„„„„„„„„„„„„„„„„„„„„„„„„549.(石景山区初一第一学期期末)2018328(1)()3.答案:解:原式183(8)„„„„„„„„3分3.„„„„„„„„„„5分50.(石景山区初一第一学期期末)2
5133()(12)634.答案.解:原式5139[(12)(12)(12)]634„„„„„„„„„3分9(1049)„„„„„„„„„„4分6.„„„„„„„„„„5分51.(石景山区初一
第一学期期末)直接写出计算结果:(1)27;(2)13()12;(3)11(1)362;(4)(2018)(326).答案:(1)5;(2)14;(3)2;(4)0.52.(顺义区初一第一学期期末)21.17(33)10(16)答
案:解:原式17331016„„„„„„„„„„„„„„„„„„„„„2分6016„„„„„„„„„„„„„„„„„„„„„„„„„4分44„„„„„„„„„„„„„„„„„„„„„„„„„„„5分53.(顺义区
初一第一学期期末)22.76()(3.2)()437答案:解:原式2(3.2)4„„„„„„„„„„„„„„„„„„„„„„„3分6.44„„„„„„„„„„„„„„„„„„„„„„„„4分10.4„„„„„„„„„„„„„„„„„„„„
„„„„„5分54.(顺义区初一第一学期期末)23.1515156()14()9()171717.解:原式15()(6149)17„„„„„„„„„„„„„„„„„„2分15()(1)17„
„„„„„„„„„„„„„„„„„„„„4分1517„„„„„„„„„„„„„„„„„„„„„„„„„„5分55.(顺义区初一第一学期期末)24.2217(3)(27)6(3)(2)()23
解:原式579(27)6(9)()()23„„„„„„„„„„„1分1257()()3323„„„„„„„„„„„„„„„
„2分157()333„„„„„„„„„„„„„„„„„„„„3分1233„„„„„„„„„„„„„„„„„„„„„„4分123313„„„„„„„„„„„„
„„„„„„„„„„„5分56.(西城区七年级第一学期期末)19.(21)(9)(8)(12)答案解:(21)(9)(8)(12)=-21+9-8+12..............................
.............................................................1分=-29+21..................................
...........................................................................3分=-8..........................................
.............................................................................4分57.(西城区七年级第一学期期末)20.311()()(2
)424答案.解:311()()(2)424319424.............................................................
..........................................2分314429............................................................................
............................3分164分58.(西城区七年级第一学期期末)21.31125(25)25()424解:31125(25)25()424=311252525424............
...................................................................1分=31125()424.....................................
........................................................2分=25................................................................................
...................................................4分59.(西城区七年级第一学期期末)3213(2)0.254[()]4028答案解:3213(2)0.254[()]4028=1380.254
()4048...............................................................................1分=180.254()408
...................................................................................2分=24840.................
...................................................................................3分=10........................................................
...........................................................4分60.(延庆区初一第一学期期末)17.计算:(1)7+(-28)-(-9)(2)23136()
3412(3)32128(2)4答案(1)解:7289原式………2分1628…………3分12…………4分(2)解:原式=2313636363412………………3分=24273……………………………
4分=48……………………………………5分(3)解:原式=18844………………2分=11………………………………4分=-2……………………………………5分61.(燕山地区一模)计算:.计算:4cos30°-12+0+||1-3答案:4cos30°-12+0+||1-
3=13132234=362.(顺义区初三练习)计算:013212sin452.答案:013212sin45212212132„„„„„„„„„„„„„„„„„„„„„4分1
3„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„5分63.(通州区一模)答案:64.(延庆区初三统一练习)计算:0113tan3013(2)()3.答案:原式=333+3-1+1-3……4分=23-3……5分65.(西城区九年级统一测试)计算:11184sin30
215.答案:1118()4sin3021513254(21)2„„„„„„„„„„„„„„„„„„„„„4分325221222.„„„„„„„„„„„„„„„„„„„„„„„„„„„„„5分6
6.(门头沟区初三综合练习)计算:201254sin603.答案:原式92123„„„„„„„„„„„„„„„„„„„„„„„„„„„„4分823.„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„5分67.(平谷区中考统一练习
)计算:1013132sin603.答案:1013132sin603=3313122······················
····················································4=1·····················································
···············································568.(海淀区第二学期练习)计算:11()123tan30|32|3.答案:原式=33233233„„„„„„4分=523.„„„„„„5分69.(怀柔区一模)计算
:102130tan3)3(31.答案:原式3311323…………………………………………………4分.…………………………………………………………………5分70.(丰台区一模)计算:082cos45(3π
)|12|.答案:082cos45(3π)|12|.=22221212……………………4分=22.……………………5分71.(市朝阳区一模)计算:10)31()10(30cos412.答案:解:原式=312
3432„„„„„„„„„„„„„„„„„4分=4.„„„„„„„„„„„„„„„„„„„„„„„„5分72.(房山区一模)计算:2014sin30322(3)答案:
解:原式=1412342………………………………………………4分=73…………………………………………………………………………5分73.(石景山区初三毕业考试)计算:012sin455()1833°.答案:解:原式
=2251322„„„„„„4分422.74.(东城区一模)计算:2012sin60-π-2++1-33.3=2-1+9+3-1----------42=23+7------------------------517.解:原式分分75.(市朝阳区综合练习(一))
计算:2sin30°+.8)4()31(01答案:解:原式2213212„„„„„„„„„„„„„„„„„„„„„„„„„4分225.„„„„„„„„„„„„„„„„„„„„„„„5分76.(年昌平区第一学期期末质量抽测)计算:2s
in30tan60cos60tan45.77.(东城第一学期期末)计算:2cos30-2sin45+3tan60+1-2.答案:32=2-2+33+2-1----------422=3-2+33+2-1=43-1------------------------5
17.解:原式分分78.(房山区第一学期检测)17.计算:3tan30cos60sin45.答案:79.(丰台区第一学期期末)17.计算:2cos30sin45tan60.答案:17.解:2cos30sin45tan
60=322322,……3分=2332……4分=22.……5分80.(年海淀区第一学期期末)17.计算:2sin30°2cos45°8.81.(怀柔区第一学期期末)17.计算:4sin45°-8+(
3-1)0+|-2|.答案:17.解:原式=4×22-22+1+2……………………………………………………4分=3………………………………………………………………………………………5分82.(门头沟区第一学期期末调研试卷)17.计算:201π+3122
sin602.解:原式3123242„„„„„„„„„„„„„„„„„„„4分33.„„„„„„„„„„„„„„„„„„„„„„„„5分83.(密云区初三(上)期末)17.计算:03tan302cos602cos45.答案:17.解:原式=312
3221322„„„„„„„„„„„„„„„„„„.4分=2„„„„„„„„„„„„„„„„„„.5分84.(平谷区第一学期期末)17.计算:112sin30832.答案:17.解:原式=1222232
..............................................................................4=622.....................
.....................................................................................585.(石景山区第一学期期末)17.计算:
60sin260cos145cos30tan32.答案:解:原式=232211)22(3332………………………………4分=32213=23.………………………………………………………………5分86.(顺义区初
三上学期期末)计算:2212sin458tan60.答案:18.计算:2212sin458tan60.22122232212223………………………………………………….4分(每项1分)2…………………
……………………………………………………….5分87.(通州区第一学期期末)计算:453046030tansintancos.答案:88.(西城区第一学期期末)17.计算:22sin30cos45
tan60.答案:89.(燕山地区第一学期初四年级期末)17.计算:3tan30°+cos245°-2sin60°;答案:3tan30°+cos245°-2sin60°;=232)22(3332………..3′=3213
……………..4′=21……………………..……..5′90.(昌平区二模)计算:06sin452318(223)°.答案.解:06sin452318(223)°332223+1„„„„„„„„„„„„„„„„„„
„„„„4分33.„„„„„„„„„„„„„„„„„„„„„„„„„„„5分91.(朝阳区二模)17.计算:011123tan30(2018)()2.答案:解:原式2133332„„„„„„„„„„„„„„„„„„4分13.„„„„„
„„„„„„„„„„„„„„„„„„„„5分92.(东城区二模)计算:332sin60+2+12.答案:3=3-2-8+23217.解:原式----------------------------------
-------------------------------4分=3-5--------------------------------------------------------------------------------------5分93.(丰台区二模)计算:
203182sin60(1)2.答案.解:203182sin60(1)2.=322142……………………4分=73.……………………5分94.(海淀区二模)
计算:021184sin45(22)()2.答案.解:原式=2324142=23.95.(昌平区初二年级期末)计算:128182.=142322„„„„„„„„„„„„„„„„„3分=42232„„„„„„„„„„„„„„„„„„„„„„„
„„„„„„4分=242.„„„„„„„„„„„„„„„„„„„„5分96.(市东城区初二期末)(5分)计算:101326()(21)2解:97.(市丰台区初二期末)计算:123331|31|.答案:98.(市
海淀区八年级期末)计算:(1)024920183;(2)22(1510)5xyxyxy.解:(1)原式=14319---------------------------------------------3分=19.-----------------
----------------------------------4分(2)原式=22151105xyxyxy------------------------------1分=5(12)5xyxyxy---------------------------------
-2分=32xy.---------------------------------------------4分99.(市怀柔区初二期末)计算:031283(32).解:原式=23231„„„„„„„4分=333„„„„„„„5分100.(市怀
柔区初二期末)计算:1(83)662.解:原式=433232„„„„„„„4分=43.„„„„„„„5分101.(市门头沟区八年级期末)计算:381232.解:原式22323„„„„„„„„„„„„„„„„„„„„„„„„3分
433.„„„„„„„„„„„„„„„„„„„„„„„„„„„„5分102.(市平谷区初二期末)计算:)(2228解:)22(28222222103.(市平谷区初二期末)计算:302721201718.解:原式312123
„„„„„„„„„„„„„„4124„„„„„„„„„„„„„„„„„„„„5104.(市平谷区初二期末)计算:2132525.解:原式132325„„„„„„„„„„„„„„„„„„„4327
„„„„„„„„„„„„„„„„„„„„„„„„5105.(市石景山区初二期末)计算:238272.解:原式2332⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯3分33⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯5分106.(市石景山区初二期末)计算:111826363
.解:原式362323⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯4分23523⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯5分107.(市顺义区八年级期末)(4分)15201025解:原式=5255„„„„„„„„„„„„„„„3分(各1分)=25„„„„„„„„„„„„„„„„4
分108.(市顺义区八年级期末)(5分)计算:5(515)(1523)(1523)解:原式=553(1512)„„„„„„„„„„„„„4分(前2分后2分)=853„„„„„„„„„„„„„„„„5分109.(延庆
区八年级第一学区期末)计算:238)3(1230答案:解:原式=„„„„4分=„„„„5分110.(延庆区八年级第一学区期末)计算:11842(21)8答案:解:原式23242224
⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯4分3222222⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯5分101.(西城区二模)计算:06cos6027(π2)32.解:16331(23)2„„„„„„„„„„„„„„„„„„„„„4分333123223.„„„„„„„„„„
„„„„„„„„„„„„„„„„„„„5分