2025小升初數(shù)學(xué)計(jì)算專項(xiàng)訓(xùn)練（共9個(gè)專題）

小升初數(shù)學(xué)計(jì)算精選600題

目錄

第一章四則混合運(yùn)算.....................................................................2

第二章裂項(xiàng)相消.........................................................................16

第三章?lián)Q元法..........................................................................29

第四章化簡(jiǎn)繁分?jǐn)?shù)......................................................................35

第五章定義新運(yùn)算......................................................................42

第六章放縮法..........................................................................51

第七章公式類計(jì)算......................................................................59

第八章解方程..........................................................................74

第九章計(jì)算綜合........................................................................83

參考答案.................................................................................90

第一章四則混合運(yùn)算

一、乘法分配律

1.計(jì)算僅+2]x27*I，四5551

2.計(jì)算一x-+-x-

(927；6996

4477

3.計(jì)算20x——6x—4.i+W-x7+-

7788

工替52543

5.TTW----X-6.ifW—x74+74xy

797

448.計(jì)算2.5+4+11.5

7.計(jì)算一x().8+-x60%

774

計(jì)算招小311

9.10.x8

17計(jì)哈（12

374

11.計(jì)算3.27x3+3.27—12.計(jì)算4+5x7.5+2.5x—

745

14.計(jì)算』x0.71+*x0.29

13.計(jì)算￡X(37+2)

66

5計(jì)算必備冷+1

16.計(jì)算20.12x37-201.2x1.9+4024x41%

17.ii?-x512+—x256+—x128+1—x64+3-x32

51545155

/111A7

18.計(jì)算9999x1+3333x1-6666x1---1330

I629；9

11fl11

19.計(jì)算

30105(579；315

計(jì)嗎316537_

20.計(jì)算一x54—16x—F27x—I—x321.x---F-x+--x+9

7575209122013

計(jì)算與，鳥，2」729712175

22.23.計(jì)算-----X------+------X------

171317131317121912191912

24.計(jì)算0.258x448+0.677x258-1.25x25.8

271x3126.i+^f3-x60-60-—+1

25.一x—

計(jì)哈i1316132\821J1.2512,

1448472

27.計(jì)算39x」+144x卜48x

147M7b47

28.計(jì)算19931993x1993-19931992x1992-19931992

計(jì)算132

29.33+一X——X—

511131151311135

30.計(jì)算756x213+27+765x327+27

100x89+100x99-89x11-89x89

31.計(jì)算?2

54x2+99x89+45x2

I11

32.計(jì)算1995x+6x-2001x?995+6+3

(6200119952001

??ASS-1+2+3+4+5+6+7+8+9+10+9+8+7+6+5+4+3+2+1

33.計(jì)算__________________….___________________

3333x6666+4444x8888

二、小數(shù)、分?jǐn)?shù)、百分?jǐn)?shù)及混合運(yùn)算的乘法分配律

itWl1--0.875+-1x24377

34.35.計(jì)算l，x——-x60%

I34599

計(jì)算0.125x3+1x8.25+12.5%g2

36.37.計(jì)算ZX6.4+3.6+2*

482()9

計(jì)算3+4x4,+0.75x391?

38.39.i+M-xl-+66x2.5%

7745

2

40.i+W0.2x7—+-X--14-5x341.計(jì)算0.4x5.2+-x2.2+40%x2.6

6565

14、1

42.計(jì)算2-x4——3.8x2.25—43.計(jì)算75%x1.375+5.625x75%+0.75

I454

44.計(jì)算3』X12.27-3』+4.73X3.125

88

i7II124

45.H^l-x7—x8+8xl—xL25-12.5%xl—x8+4

4131313135

1i/Qaa\。

46.計(jì)算2—+4—x-+l.68x-+2—

6I2555)5'

計(jì)算』+

47.43.875x57.125xLo.5x99-0.5x2

22

5775

48.計(jì)算一x-----0.625x一+6.25xO.lx一+-x一

8191919819

(s4(4422

49.計(jì)算5--0.8+2-x7.6--+2-X1.25

(99J-5-5

(竺J+1.65X竺一竺〕14)

50.計(jì)算4-2—+1.35

(90209090J15；

73(37、

51.計(jì)算—x2.232+4~x—x25%——x16-J-8—1.768x—

15151.1515)

21

52.計(jì)算4x(0.14+0.28)x^+4x0.56x0.56

三、湊整

12313137

53.ifW3-+6-+l-+8-54.+2.25--

434342()2()

3I計(jì)喏-（步）

55.計(jì)算4巳-9+8-56.

44

57.計(jì)算12.5x3,x25

58.計(jì)算25x3.2x12.5

5

59.計(jì)算79+799+7999+7999960.計(jì)算0.25x12.5x62.5x51.2

it?9-+99-+999-++99,?/

61.62.i+W999-+99-+9-+-

222I。個(gè)“9”29993

44444

63.計(jì)算9一+99—+199—+2999-+39999-+1

55555

計(jì)算嗎+99生+999邈+9999蹩

64.

999999999

2024個(gè)“7”

7777777777

65.計(jì)算：9一+99—+999—+9999---------F+99

88888888882024不一“；”

2024個(gè)“8”

四、約分

計(jì)算巴267.計(jì)算二x'x4849

66.x——x——

19171322234495()

68.計(jì)算卜,?“4)

70.計(jì)算等咨71.計(jì)算2。叱2。16翳

(7017、

72.計(jì)算2017+2017+業(yè)

(2018J

五、拆分

73.計(jì)算64，乂174.計(jì)算t44x37

17945

go

75.計(jì)算2015X煞76.計(jì)算123x—1

124

77.計(jì)算2014+現(xiàn)78.計(jì)算201—

201225

27322

79.計(jì)算41x三80.計(jì)算32x25*+37.9x6?

40555

、」的362+548x361江的267+123x894

81.-ti-?____________82.計(jì)算------------

-362x548-186894x124-627

lagI計(jì)算如翳

83.HW199—x8n—84.2/,

20025

0番100x102+1?S3749

85.計(jì)算----------86.i+W61---+71-4--+91---

2020x1313334455

87.計(jì)算51.2x8.1+11x9.25+637x0.1988.計(jì)算41.2x8.1+11x9—+0.19x537

4

2008987x655-3217714

89.計(jì)兌2008+2(X)8------+--------------------90.計(jì)算29‘x27上

2009987x654+6662815

20604-9270022060x2105%,八

91計(jì)算-----；——+2060

20152452

六、提取公因數(shù)

??A*.1+2+3++1001+3+5+7++99

92.計(jì)算---------------93.計(jì)算

2+4+6++2002+6+10+14++198

(0?4、，49SA

94.計(jì)算14*+26±+36-+1-+34+4±

I579jI579j

、i衿1x3x24+2x6x48+3x9x729&計(jì)算埠71H泊)

95.計(jì)算-------------------------

1x2x4+2x4x8+3x6x12

(555

97.計(jì)算《

I993311<993311

..21x3+2x6+3x9+4x124-5x15+6x18

98.計(jì)算---------------------------------

1x2+2x4+3x6+4x8+5x10+6x12

(4/44八(44~

99.計(jì)算+2+—x23+—x3+…+7+—x7

777

▲檔L1+2.2+3.3+4.4+5.5+6.6

100.IT#--------------------

2.2+4.4+6.6+8.8+11+13.2，Ob計(jì)算43/濟(jì)）

(7

711—371U(13—12+817:38

102.計(jì)算17—+27-------5—

271739172739,

計(jì)算卜盛短高+8高八?1迎8+248」

103.

1004251

I111J

算

n計(jì)i++

04.246-8-

1520

、［必0.1x0.2x0.4+0.2x0.4x0.8+0.3x0.6x1.24-0.4x0.8x1.6+0.5x1x2

105.Tl*W_____________________________________________________________________

"().1X().3X0.9+0,2X0.6x1.8+().3x0.9x2.7+0.4x1.2x3.6+().5x1.5x4.5

七、其他計(jì)算

工侑3737373737696969x696696

107.I108.計(jì)算

*7171717171969969x969696

17171717017017001700、179595

109.H--------X------------

\9595959509509500950()951717

計(jì)算上161

110.81224J

111.計(jì)算{[(77x78-6)-5679]-107+30}x37

計(jì)算6+6xf---l-|4-64--x-計(jì)算/EI用+1315

112.113.

(63力561219

114.計(jì)算6—0.4H—|x1.54-0.54

23

I1A

115.計(jì)算3.5+1—+6.5x12x1——0.3-15%

3I3

116.計(jì)算32--(32.4--x0.25jxl2

9.513J

計(jì)算啖停+#3%T

117.

I1c79

118.計(jì)算1—+2—1.125x——

1020236

119.i+W2-^|7—-5.25kl.5+10xA

9II12J18

計(jì)算1—+^3--2.25^1--5-

120.

15I3J4j3

121.計(jì)算10-3'(2-5--0.625卜(1.6+22]

8I12)I3)

1.1x1.96x30-1.21

122.計(jì)算5.36-(7.2-1.28x25)+11123.計(jì)算

區(qū)計(jì)算如|65一號(hào)b20」6H2一票）

(1)(23.2A一

125.計(jì)算6.875-2-x25%+3—+1—+44-2.5

2I243J

(11\(12、I155

126.計(jì)算0.75-2--1-4-4+1-+2--2---

I39JI23)26

127.計(jì)算1994H------1—F2—3—F4—5—I-+1992—1993—

23232323

128.計(jì)算(1--—3

X1--------|x-X

3x54x67x9)

第二章裂項(xiàng)相消

直接裂項(xiàng)

222223333

1.計(jì)算----+-----+------4-2.計(jì)算之+

1x33x55x77x99x1142870130208

3.itM494-|-!■+—+—++------

(612209900J

333、

4.計(jì)算200x一+--+

<1x44x77x1097x100,

5u.3計(jì)算-1-+?---1-+--I--+--1--++----1--+----1---

1x22x33x44x598x9999x100

6.計(jì)算上+工+_1_+上+3+工+_L

2x55x77x1111x1616x2222x2929

111111111

7.計(jì)算

2612203042567290

11

8.計(jì)算-----------F44H---------------

1x22x33x411x12

八「‘.J1434-3111434+3_7

9.L_?大口-----=-----------=-----=—,—I—=--------1----------=

343x43x43x412343x43x43^4-T2

____3_5-32_1153=5+38

“丁布一后一=而一=記，+-=+=一，

353^53^5~3^515

)

填空:

)

嗎-本1-1亮

1111[1

10.計(jì)算

1x22x33x44x519x2020x21

3333

11.計(jì)算-----+------4-

1x44x77x1097x100

1

12.計(jì)算+4-+

T^22^33744^59x10

J___1___1___1_計(jì)祐11J_J_J_

13.計(jì)算1+------14.—+-++

2612-20-30-4248163264

888888

15.計(jì)算一十——+-----+——

915342582513532009

計(jì)算:

16.------F------1------H-------

612304256

17.計(jì)算UWh

1

483

計(jì)算治79111315

18.--------1----------F-------H-----------

14440090017643136

23______________10______________

19.計(jì)算1

lx(l+2)(U2)x(l+2+3)(1+2+.+9)x(l+2+~+10)

20.計(jì)算----+----；~~:-------+----;—;------;—7---------

1x(1+2)(1+2)x(1+2+3)(1+2)x(1+2+3)x(l+2+3+4)

______________100______________

(1+2++99)x(l+2+...+100)

21.□內(nèi)填入11以內(nèi)的自然數(shù)，使得等式成立。

41_111

丁口+口+口

22.請(qǐng)找出4個(gè)不同的自然數(shù)，分別填入4個(gè)()中，使這個(gè)等式成立。

11111

-----=-----------1-----------1-----------1

2001()()()()

二、帶分?jǐn)?shù)裂項(xiàng)

24.i+^：|-!-+3-+5—+7—+9—jxl2

23.i+$?l-+2-+3—4+99——

26129900(26122030J

1

25.HM17—+15—+13—+11—+9i-5—+3-+1

907256423()20126

26.計(jì)算2008—+2009—+2010—+2011—+2012—

1854108180270

7

27.i+Wl+10+4—+2—+1—4

356399143

28.計(jì)算1+3-+5—+7----F9—+11----F13—+15----F17—

612203042567290

I357

29.i|-Wi-+3—+5—+7—

845120245

1

30.itWl-+2-+3-+4—+5—+6+7上+8

248163264256

9]2_12

31.+

計(jì)算1-"2030-42

三、裂和

彼計(jì)嗎畀導(dǎo)梟下■

”、」的5+66+77+88+99+1010+11

33.計(jì)算----------+-----------+-------------

5x66x77x88x99x1010x11

579111315

34.計(jì)算--------------+---------------+------

2x33x44x55x66x77^8

計(jì)算W9n__1212-1Z19

35.20+30-42+56-72+90

36.計(jì)算工6377_91105

26+30-42+56

105、31

"354963_7791-------I一二--

37.計(jì)算+20-30+42

<656)8」.8

<56728810412012

38.計(jì)算

11220304256)3

34134413444444441o34444444441

39.計(jì)算i-2x十+8x---------------+8x------------------

275277527775277777777527777777775

4。.計(jì)算g256

+

1535-6399143

!+!111111

—F--------F—

24.35..1921

41.計(jì)算1十-----------------十???十------------------------

111111111

-X—X——x—x——X—X———XX——

I23234345192021

L+1111

42.計(jì)算14匚+」4--

1x32x32x53x53x74x74x9

“r、…?111111

43.計(jì)算1+—+—+——+——+—+——

361()152128

四、構(gòu)造裂項(xiàng)

44.計(jì)算一!一+」1一+—!—+—!—

1x44x77x1010x1397x100

45.計(jì)算64x

8244880120168224

46.計(jì)算21/』」上」-士-2」

315356399143195255

47.計(jì)算LU109

2612HO

?2426282IO=?12?

M.計(jì)算市1

3^55^77^99x1111x13

1

49.計(jì)算-------4----------+---------+--------

1x33x55x77x999x101

22222

5().計(jì)算-----+------+-------+---------

1x55x99x1313x1717x21

111111

51.計(jì)算--------4----------+--------+----------+H-----------1-----------

2x44x66x88x1()96x9898x100

22222

52-計(jì)算商

4x77x1010x1397x100

1

53.計(jì)算-----+------+-------+

1x44x77x1049x52

224262202

54.計(jì)算---+----+----+

1x33x55x719x21

2

計(jì)算？一+《4一"+”A"-+14

55.

1x33x55x713x15

計(jì)算〉1

56.

33+63+6+93+6+9++90

222222

57.計(jì)算--------+---------+--------+---------+--+---------+----------

1x2x32x3x43x4x54x5x68x9x109x10x11

（1）計(jì)算1+—!—+----1--+，1

58.

1+21+2+31+2+3++10

+20巨粗。應(yīng).2。叫2。吃

（2）計(jì)算*+2+

1x22x32012x20132013x2014

111

59.計(jì)算

1+21+2+31+2+3+41+2++100

2OO22+2OO32

60.計(jì)算+2002x2003

1x22x33x4

9

61.

計(jì)算9+W+RWlx2xxlO

/57

62.計(jì)算1155x

、2x3x43x4x5

2007

63.計(jì)算------1----------1?…H---------------+-X

[1x20072x2006〃x(2008-〃),―200^6x2+12007x1J2008

-------+--------+…+-------------+■?+--------

11x20062x2005A?x(2007-/7)2006x1)

11111

A.--------B.--------C.--------D.--------E.

20072008200940152015028

64?計(jì)算宅92+1112+1992+1

+-----F112-1++992-1

/—192-1

65.計(jì)算"/盛79111913

—+—+—+—+—

1220303542

66.計(jì)算

23

lx(I+2)+(l+2)x(l+2+3)+(l+2+3)x(l+2+3+4)++(1+2+3+…+9)x(1+2+3+~~+10)

357

67.計(jì)算-------------1-------------4----------------F??H-------------

12X2222X3232X4272X82

五、整數(shù)裂項(xiàng)

68.計(jì)算3x4+4x5+5x6+…+19x20+20x21

69.已知S=lx2x3+2x3x4+3x4x5+…+2007x2008x2009,試求出

4s+(2007x2008x2009)的值。

70.i|?1x2+2x3+3x44-...+9x1071.計(jì).算1X2+2X3+3X4+,??+〃(〃+1)

72.i+M1x2+2x3+3x44-...+99x10073.計(jì)算3x5+5x7+7x9+??,+97x99

74.計(jì)算Ix3+3x5+5x7+7x9++97x99

75.計(jì)算1X2X3+2X3X4+3X4X5+?一+97X98X99

76.計(jì)算1X2X3+2X3X4+3X4X5+,?+18x19x20

77.計(jì)算2x4x6+4x6x8+6x8x10+.4-16x18x20

78.10x16x22+16x22x28+22x28x34+.+70x76x82

79.il-W1x3+2x4+3x5+4x64-.+98x1(X)+99x101

8().計(jì)算1X2+3X4+5X6+7X8+?+99x100

81.計(jì)算Ix2+2x3+3x4+…+49x50

82.計(jì)算1x4+4x7+7x10+…+49x52

83.i+W1x2x3+2x3x4+3x4x54-..+9x10x11

84.if?1x3x54-3x5x7+5x7x9+--.+17x19x21

85.計(jì)算9x15x21+15x21x27+21x27x33++69x75x81

86.if?Ix2x3x4+2x3x4x5+3x4x5x6+-+9x10x11x12

第三章?lián)Q元法

,工咨2621628420、628<4202621420(262628)

1.1十弟——X----------+——X-----------+——X-----------

4261862648J8621648426J6481426862J

11

2.計(jì)算141lllx14

I24八24+6J1+2+4+6八24J

11111111111111

3.計(jì)算上一+x1+--+---+---X

13141619JI13141613141619(131416

11111111)1I111W1111

4.計(jì)算1+—十—+—+—+—1+—+-+—+-+—x

234523456J23456J(2345)

Illi1111111I111

5.計(jì)算------1--------1--------1------x------1--------1--------1------x上一+—

11213141213141512131415121314

18^-^x14\1(111)(2r

6.計(jì)算-+-+x3+—十—+—x

93)(69瓦(69(6915J59>

J+150%

計(jì)算

7..345x3

1-+150%5—F?1—F150%]+2—1-

\3)313J45

8.已知A=(l+2+.+2009)x(2+3+…+2010),

8=(1+2++2009+2010)x(2+3++2009)

則在A和8中，較大的數(shù)是o

9.

13J112321713J(32\1)

上皆2(X)8+2007x2(X)92009+2(X)8x201()

10.計(jì)算----------------+----------------

2008x2009-12009x2010-1

15、15(\1

11.計(jì)晦xU8——-----x—

67)67(38

12.已知L為正整數(shù)，A=(l+2+L+2009)x(2+3+L+2010)

B=(1+2+L+2(X)9+201())X(2+3+L4-2(X)9),則在A和8中，較大的數(shù)是________

13.計(jì)算82x80—81x7914.計(jì)算98764x88765—98765x88764

計(jì)算1+:+3+八++，111

15.x