初二數學。計算題檢查

時間 2021-08-30 09:08:27

1樓:淘氣的小阿凡提

①5√8-2√32+√50=5*3√2-2*4√2+5√2=√2(15-8+5)=12√2②√6-√3/2-√2/3=√6-√6/2-√6/3=√6/6③(√45+√27)-(√4/3+√125)=(3√5+3√3)-(2√3/3+5√5)=-2√5+7√5/3④(√4a-√50b)-2(√b/2+√9a)=(2√a-5√2b)-2(√2b/2+3√a)=-4√a-6√2b⑤√4x*(√3x/2-√x/6)=2√x(√6x/2-√6x/6)=2√x*(√6x/3)=2/3*|x|*√6⑥(x√y-y√x)÷√xy=x√y÷√xy-y√x÷√xy=√x-√y⑦(3√7+2√3)(2√3-3√7)=(2√3)^2-(3√7)^2=12-63=-51⑧(√32-3√3)(4√2+√27)=(4√2-3√3)(4√2+3√3)=(4√2)^2-(3√3)^2=32-27=5⑨(3√6-√4)?=(3√6)^2-2*3√6*√4+(√4)^2=54-12√6+4=58-12√6⑩(1+√2-√3)(1-√2+√3)=[1+(√2-√3)][1-(√2-√3)]=1-(√2-√3)^2=1-(2+3+2√6)=-4-2√6(1)5√12×√18=5*2√3*3√2=30√6;(2)-6√45×(-4√48)=6*3√5*4*4√3=288√15;(3)√(12a)×√(3a)/4=√(36a^2)/4=6a/4=3a/2.5.

x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2=[x(y+z)-y(x-z)]^2=(xz+yz)^2=z^2(x+y)^26.3(a+2)^2+28(a+2)-20=[3(a+2)-2][(a+2)+10]=(3a+4)(a+12)7.(a+b)^2-(b-c)^2+a^2-c^2=(a+b)^2-c^2+a^2-(b-c)^2=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)=(a+b-c)(a+b+c+a-b+c)=2(a+b-c)(a+c)8.

x(x+1)(x^2+x-1)-2=(x^2+x)(x^2+x-1)-2=(x^2+x)^2-(x^2+x)-2=(x^2+x-2)(x^2+x+1)=(x+2)(x-1)(x^2+x+1)9.9x^2(x-1)^2-3(x^2-x)-56=9x^2(x-1)^2-3x(x-1)-56=[3x(x-1)-8][3x(x-1)+7]=(3x^2-3x-8)(3x^2-3x+7)有理數練習練習一(b級)(一)計算題:(1)23+(-73)(2)(-84)+(-49)(3)7+(-2.

04)(4)4.23+(-7.57)(5)(-7/3)+(-7/6)(6)9/4+(-3/2)(7)3.

75+(2.25)+5/4(8)-3.75+(+5/4)+(-1.

5)5.x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2=[x(y+z)-y(x-z)]^2=(xz+yz)^2=z^2(x+y)^26.3(a+2)^2+28(a+2)-20=[3(a+2)-2][(a+2)+10]=(3a+4)(a+12)7.

(a+b)^2-(b-c)^2+a^2-c^2=(a+b)^2-c^2+a^2-(b-c)^2=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)=(a+b-c)(a+b+c+a-b+c)=2(a+b-c)(a+c)8.x(x+1)(x^2+x-1)-2=(x^2+x)(x^2+x-1)-2=(x^2+x)^2-(x^2+x)-2=(x^2+x-2)(x^2+x+1)=(x+2)(x-1)(x^2+x+1)9.9x^2(x-1)^2-3(x^2-x)-56=9x^2(x-1)^2-3x(x-1)-56=[3x(x-1)-8][3x(x-1)+7]=(3x^2-3x-8)(3x^2-3x+7)1.

125*3+125*5+25*3+252.9999*3+101*11*(101-92)3.(23/4-3/4)*(3*6+2)4.

3/7×49/9-4/35.8/9×15/36+1/276.12×5/6–2/9×37.

8×5/4+1/48.6÷3/8–3/8÷69.4/7×5/9+3/7×5/910.

5/2-(3/2+4/5)11.7/8+(1/8+1/9)12.9×5/6+5/613.

3/4×8/9-1/314.7×5/49+3/1415.6×(1/2+2/3)16.

8×4/5+8×11/517.31×5/6–5/618.9/7-(2/7–10/21)19.

5/9×18–14×2/720.4/5×25/16+2/3×3/421.14×8/7–5/6×12/1522.

17/32–3/4×9/2423.3×2/9+1/324.5/7×3/25+3/725.

3/14××2/3+1/626.1/5×2/3+5/627.9/22+1/11÷1/228.

5/3×11/5+4/329.45×2/3+1/3×1530.7/19+12/19×5/631.

1/4+3/4÷2/332.8/7×21/16+1/233.101×1/5–1/5×2134.

50+160÷4035.120-144÷18+3536.347+45×2-4160÷5237(58+37)÷(64-9×5)38.

95÷(64-45)39.178-145÷5×6+4240.812-700÷(9+31×11)41.

85+14×(14+208÷26)43.120-36×4÷18+3544.(58+37)÷(64-9×5)45.

(6.8-6.8×0.

55)÷8.546.0.

12×4.8÷0.12×4.

847.(3.2×1.

5+2.5)÷1.648.

6-1.6÷4=5.38+7.

85-5.37=49.7.

2÷0.8-1.2×5=6-1.

19×3-0.43=50.6.

5×(4.8-1.2×4)=51.

5.8×(3.87-0.

13)+4.2×3.7452.

32.52-(6+9.728÷3.

2)×2.553.[(7.

1-5.6)×0.9-1.

15]÷2.554.5.

4÷[2.6×(3.7-2.

9)+0.62]55.12×6÷(12-7.

2)-656.12×6÷7.2-657.

0.68×1.9+0.

32×1.958.58+370)÷(64-45)59.

420+580-64×21÷2860.136+6×(65-345÷23)15-10.75×0.

4-5.762.18.

1+(3-0.299÷0.23)×163.

(6.8-6.8×0.

55)÷8.564.0.

12×4.8÷0.12×4.

865.(3.2×1.

5+2.5)÷1.666.

3.2×6+(1.5+2.

5)÷1.667.0.

68×1.9+0.32×1.

968.10.15-10.

75×0.4-5.769.

5.8×(3.87-0.

13)+4.2×3.7470.

32.52-(6+9.728÷3.

2)×2.571.[(7.

1-5.6)×0.9-1.

15]÷2.572.5.

4÷[2.6×(3.7-2.

9)+0.62]73.12×6÷(12-7.

2)-674.12×6÷7.2-675.

33.02-(148.4-90.

85)÷2.51)76.(25%-695%-12%)*3677.

/4*3/5+3/4*2/578.1-1/4+8/9/7/979.+1/6/3/24+2/2180.

/15*3/581.3/4/9/10-1/682./3+1/2)/5/6-1/3]/1/783.

/5+3/5/2+3/484.(2-2/3/1/2)]*2/585.+5268.

32-256986.3+456-52*887.5%+632588.

/2+1/3+1/42)89+456-783)5%+.3/7×49/9-4/34)9×15/36+1/275)2×5/6–2/9×36)3×5/4+1/47)94÷3/8–3/8÷68)95/7×5/9+3/7×5/99)6/2-(3/2+4/5)10)8+(1/8+1/9)11)8×5/6+5/612)1/4×8/9-1/313)10×5/49+3/1414)1.5×(1/2+2/3)15)2/9×4/5+8×11/516)3.

1×5/6–5/617)4/7-(2/7–10/21)18)19×18–14×2/719)5×25/16+2/3×3/420)4×8/7–5/6×12/1521)7/32–3/4×9/2422)1、2/3÷1/2-1/4×2/52、2-6/13÷9/26-2/33、2/9+1/2÷4/5+3/84、10÷5/9+1/6×45、1/2×2/5+9/10÷9/206、5/9×3/10+2/7÷2/57、1/2+1/4×4/5-1/88、3/4×5/7×4/3-1/29、23-8/9×1/27÷1/2710、8×5/6+2/5÷411、1/2+3/4×5/12×4/512、8/9×3/4-3/8÷3/413、5/8÷5/4+3/23÷9/1123)1.2×2.5+0.

8×2.524)8.9×1.

25-0.9×1.2525)12.

5×7.4×0.826)9.

9×6.4-(2.5+0.

24)(27)6.5×9.5+6.

5×0.50.35×1.

6+0.35×3.40.

25×8.6×46.72-3.

28-1.720.45+6.

37+4.555.4+6.

9×3-(25-2.5)2×41846-620-3804.8×46+4.

8×540.8+0.8×2.

51.25×3.6×8×2.

5-12.5×2.428×12.

5-12.5×2023.65-(3.

07+3.65)(4+0.4×0.

25)8×7×1.251.65×99+1.

6527.85-(7.85+3.

4)48×1.25+50×1.25×0.

2×87.8×9.9+0.

78(1010+309+4+681+6)×123×9146×782×6×8545.15×7/8+6.1-0.

606251.3/7×49/9-4/32.8/9×15/36+1/273.

12×5/6–2/9×34.8×5/4+1/45.6÷3/8–3/8÷66.

4/7×5/9+3/7×5/97.5/2-(3/2+4/5)8.7/8+(1/8+1/9)9.

9×5/6+5/610.3/4×8/9-1/311.7×5/49+3/1412.

6×(1/2+2/3)13.8×4/5+8×11/514.31×5/6–5/615.

9/7-(2/7–10/21)16.5/9×18–14×2/717.4/5×25/16+2/3×3/418.

14×8/7–5/6×12/1519.17/32–3/4×9/2420.3×2/9+1/321.

5/7×3/25+3/722.3/14××2/3+1/623.1/5×2/3+5/624.

9/22+1/11÷1/225.5/3×11/5+4/326.45×2/3+1/3×1527.

7/19+12/19×5/628.1/4+3/4÷2/329.8/7×21/16+1/230.

101×1/5–1/5×2131.50+160÷40(58+370)÷(64-45)32.120-144÷18+3533.

347+45×2-4160÷5234(58+37)÷(64-9×5)35.95÷(64-45)36.178-145÷5×6+42420+580-64×21÷2837.

812-700÷(9+31×11)(136+64)×(65-345÷23)38.85+14×(14+208÷26)39.(284+16)×(512-8208÷18)40.

120-36×4÷18+3541.(58+37)÷(64-9×5)42.(6.

8-6.8×0.55)÷8.

543.0.12×4.

8÷0.12×4.844.

(3.2×1.5+2.

5)÷1.6(2)3.2×(1.

5+2.5)÷1.645.

6-1.6÷4=5.38+7.

85-5.37=46.7.

2÷0.8-1.2×5=6-1.

19×3-0.43=47.6.

5×(4.8-1.2×4)=0.

68×1.9+0.32×1.

948.10.15-10.

75×0.4-5.749.

5.8×(3.87-0.

13)+4.2×3.7450.

32.52-(6+9.728÷3.

2)×2.551.[(7.

1-5.6)×0.9-1.

15]÷2.552.5.

4÷[2.6×(3.7-2.

9)+0.62]53.12×6÷(12-7.

2)-6(4)12×6÷7.2-6102×4.57.

8×6.9+2.2×6.

95.6×0.258×(20-1.

25)1)127+352+73+44(2)89+276+135+33(1)25+71+75+29+88(2)243+89+111+579405-2940÷28×21920-1680÷40÷7690+47×52-398148+3328÷64-75360×24÷32+7302100-94+48×5451+(2304-2042)×234215+(4361-716)÷81(247+18)×27÷2536-720÷(360÷18)1080÷(63-54)×80(528+912)×5-61788528÷41×38-904264+318-8280÷69(174+209)×26-9000814-(278+322)÷151406+735×9÷453168-7828÷38+504796-5040÷(630÷7)285+(3000-372)÷361+5/6-19/123x(-9)+7x(-9(-54)x1/6x(-1/3)1.18.1+(3-0.

299÷0.23)×12.(6.

8-6.8×0.55)÷8.

53.0.12×4.

8÷0.12×4.84.

(3.2×1.5+2.

5)÷1.6(2)3.2×(1.

5+2.5)÷1.65.

6-1.6÷4=5.38+7.

85-5.37=6.7.

2÷0.8-1.2×5=6-1.

19×3-0.43=7.6.

5×(4.8-1.2×4)=0.

68×1.9+0.32×1.

98.10.15-10.

75×0.4-5.79.

5.8×(3.87-0.

13)+4.2×3.7410.

32.52-(6+9.728÷3.

2)×2.511.[(7.

1-5.6)×0.9-1.

15]÷2.512.5.

4÷[2.6×(3.7-2.

9)+0.62]13.12×6÷(12-7.

2)-614.12×6÷7.2-615.

33.02-(148.4-90.

85)÷2.57×(5/21+9/714)a^3-2b^3+ab(2a-b)=a^3+2a^2b-2b^3-ab^2=a^2(a+2b)-b^2(2b+a)=(a+2b)(a^2-b^2)=(a+2b)(a+b)(a-b)2.(x^2+y^2)^2-4y(x^2+y^2)+4y^2=(x^2+y^2-2y)^23.

(x^2+2x)^2+3(x^2+2x)+x^2+2x+3=(x^2+2x)^2+4(x^2+2x)+3=(x^2+2x+3)(x^2+2x+1)=(x^2+2x+3)(x+1)^24.(a+1)(a+2)+(2a+1)(a-2)-12=a^2+3a+2+2a^2-3a-2-12=3a^2-12=3(a+2)(a-2)5.x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2=[x(y+z)-y(x-z)]^2=(xz+yz)^2=z^2(x+y)^26.

3(a+2)^2+28(a+2)-20=[3(a+2)-2][(a+2)+10]=(3a+4)(a+12)7.(a+b)^2-(b-c)^2+a^2-c^2=(a+b)^2-c^2+a^2-(b-c)^2=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)=(a+b-c)(a+b+c+a-b+c)=2(a+b-c)(a+c)8.x(x+1)(x^2+x-1)-2=(x^2+x)(x^2+x-1)-2=(x^2+x)^2-(x^2+x)-2=(x^2+x-2)(x^2+x+1)=(x+2)(x-1)(x^2+x+1)寫完一遍後再別這些題寫一遍,以此類推,老師們看作業都是一看而過不會一個一個批的。

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