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乳糜胸--韋方寧整式的乘法和因式分解練習(xí)題集整式的乘法和因式分解練習(xí)題集

/整式的乘法和因式分解練習(xí)題集整式的乘法與因式分解

一.選擇題(共16小題)1.下列運(yùn)算正確的是()A.||= B.x3?x2=x6 C.x2+x2=x4 D.(3x2)2=6x42.下列運(yùn)算正確的是()A.a(chǎn)+2a=3a2 B.a(chǎn)3?a2=a5 C.(a4)2=a6 D.a(chǎn)4+a2=a43.若a+b=3,a2+b2=7,則ab等于()A.2 B.1 C.﹣2 D.﹣14.已知x+y=﹣5,xy=3,則x2+y2=()A.25 B.﹣25 C.19 D.﹣195.若4a2﹣kab+9b2是完全平方式,則常數(shù)k的值為()A.6 B.12 C.±12 D.±66.下列運(yùn)算中正確的是()A.(x4)2=x6 B.x+x=x2 C.x2?x3=x5 D.(﹣2x)2=﹣4x27.設(shè)M=(x﹣3)(x﹣7),N=(x﹣2)(x﹣8),則M與N的關(guān)系為()A.M<N B.M>N C.M=N D.不能確定8.(﹣am)5?an=()A.﹣a5+m B.a(chǎn)5+m C.a(chǎn)5m+n D.﹣a5m+n9.若(x﹣3)(x+4)=x2+px+q,那么p、q的值是()A.p=1,q=﹣12 B.p=﹣1,q=12 C.p=7,q=12 D.p=7,q=﹣1210.(xn+1)2(x2)n﹣1=()A.x4n B.x4n+3 C.x4n+1 D.x4n﹣111.下列計(jì)算中,正確的是()A.a(chǎn)?a2=a2 B.(a+1)2=a2+1 C.(ab)2=ab2 D.(﹣a)3=﹣a312.下列各式中不能用平方差公式計(jì)算的是()A.(x﹣y)(﹣x+y) B.(﹣x+y)(﹣x﹣y) C.(﹣x﹣y)(x﹣y) D.(x+y)(﹣x+y)13.計(jì)算a5?(﹣a)3﹣a8的結(jié)果等于()A.0 B.﹣2a8 C.﹣a16 D.﹣2a1614.已知m+n=2,mn=﹣2,則(1﹣m)(1﹣n)的值為()A.﹣3 B.﹣1 C.1 D.515.已知多項(xiàng)式2x2+bx+c分解因式為2(x﹣3)(x+1),則b、c的值為()A.b=3,c=﹣1 B.b=﹣6,c=2 C.b=﹣6,c=﹣4 D.b=﹣4,c=﹣616.計(jì)算(﹣a﹣b)2等于()A.a(chǎn)2+b2 B.a(chǎn)2﹣b2 C.a(chǎn)2+2ab+b2 D.a(chǎn)2﹣2ab+b2

二.填空題(共7小題)17.分解因式:x2﹣1=.18.分解因式:2x3﹣8x=.19.分解因式:3ax2﹣6axy+3ay2=.20.分解因式:m3﹣4m2+4m=.21.x2+kx+9是完全平方式,則k=.22.化簡(jiǎn):(﹣2a2)3=.23.因式分解:y3﹣4x2y=.

三.解答題(共3小題)24.分解因式:(1)(a2+b2)2﹣4a2b2(2)(x2﹣2xy+y2)+(﹣2x+2y)+1.25.已知,求的值.26.請(qǐng)認(rèn)真觀察圖形,解答下列問(wèn)題:(1)根據(jù)圖中條件,用兩種方法表示兩個(gè)陰影圖形的面積的和(只需表示,不必化簡(jiǎn));(2)由(1),你能得到怎樣的等量關(guān)系?請(qǐng)用等式表示;(3)如果圖中的a,b(a>b)滿(mǎn)足a2+b2=53,ab=14,求:①a+b的值;②a4﹣b4的值.

整式的乘法與因式分解參考答案與試題解析

一.選擇題(共16小題)1.下列運(yùn)算正確的是()A.||= B.x3?x2=x6 C.x2+x2=x4 D.(3x2)2=6x4【分析】分別利用絕對(duì)值以及同底數(shù)冪的乘法運(yùn)算法則、合并同類(lèi)項(xiàng)、積的乘方運(yùn)算法則分別化簡(jiǎn)求出答案.【解答】解:A、|﹣1|=﹣1,正確,符合題意;B、x3?x2=x5,故此選項(xiàng)錯(cuò)誤;C、x2+x2=2x2,故此選項(xiàng)錯(cuò)誤;D、(3x2)2=9x4,故此選項(xiàng)錯(cuò)誤;故選:A.【點(diǎn)評(píng)】此題主要考查了絕對(duì)值以及同底數(shù)冪的乘法運(yùn)算、合并同類(lèi)項(xiàng)、積的乘方運(yùn)算等知識(shí),正確掌握運(yùn)算法則是解題關(guān)鍵.

2.下列運(yùn)算正確的是()A.a(chǎn)+2a=3a2 B.a(chǎn)3?a2=a5 C.(a4)2=a6 D.a(chǎn)4+a2=a4【分析】根據(jù)整式的加法和冪的運(yùn)算法則逐一判斷即可.【解答】解:A、a+2a=3a,此選項(xiàng)錯(cuò)誤;B、a3?a2=a5,此選項(xiàng)正確;C、(a4)2=a8,此選項(xiàng)錯(cuò)誤;D、a4與a2不是同類(lèi)項(xiàng),不能合并,此選項(xiàng)錯(cuò)誤;故選:B.【點(diǎn)評(píng)】本題主要考查冪的運(yùn)算和整式的加法,掌握同類(lèi)項(xiàng)的定義和同底數(shù)冪相乘、冪的乘方法則是解題的關(guān)鍵.

3.若a+b=3,a2+b2=7,則ab等于()A.2 B.1 C.﹣2 D.﹣1【分析】根據(jù)完全平方公式得到(a+b)2=9,再將a2+b2=7整體代入計(jì)算即可求解.【解答】解:∵a+b=3,∴(a+b)2=9,∴a2+2ab+b2=9,∵a2+b2=7,∴7+2ab=9,∴ab=1.故選:B.【點(diǎn)評(píng)】此題考查了完全平方公式,熟練掌握完全平方公式是解本題的關(guān)鍵.

4.已知x+y=﹣5,xy=3,則x2+y2=()A.25 B.﹣25 C.19 D.﹣19【分析】把x2+y2利用完全平方公式變形后,代入x+y=﹣5,xy=3求值.【解答】解:∵x+y=﹣5,xy=3,∴x2+y2=(x+y)2﹣2xy=25﹣6=19.故選:C.【點(diǎn)評(píng)】本題的關(guān)鍵是利用完全平方公式求值,把x+y=﹣5,xy=3當(dāng)成一個(gè)整體代入計(jì)算.

5.若4a2﹣kab+9b2是完全平方式,則常數(shù)k的值為()A.6 B.12 C.±12 D.±6【分析】利用完全平方公式的結(jié)構(gòu)特征判斷即可得到結(jié)果.【解答】解:∵4a2﹣kab+9b2是完全平方式,∴﹣kab=±2?2a?3b=±12ab,∴k=±12,故選:C.【點(diǎn)評(píng)】此題考查了完全平方式,熟練掌握完全平方公式是解本題的關(guān)鍵.

6.下列運(yùn)算中正確的是()A.(x4)2=x6 B.x+x=x2 C.x2?x3=x5 D.(﹣2x)2=﹣4x2【分析】根據(jù)同底數(shù)冪的乘法的性質(zhì),冪的乘方的性質(zhì),積的乘方的性質(zhì),對(duì)各選項(xiàng)分析判斷后利用排除法求解.【解答】解:A、(x4)2=x8,錯(cuò)誤;B、x+x=2x,錯(cuò)誤;C、x2?x3=x5,正確;D、(﹣2x)2=4x2,錯(cuò)誤;故選:C.【點(diǎn)評(píng)】本題考查了同底數(shù)冪的乘法,冪的乘方,積的乘方,理清指數(shù)的變化是解題的關(guān)鍵.

7.設(shè)M=(x﹣3)(x﹣7),N=(x﹣2)(x﹣8),則M與N的關(guān)系為()A.M<N B.M>N C.M=N D.不能確定【分析】根據(jù)多項(xiàng)式乘多項(xiàng)式的運(yùn)算法則進(jìn)行計(jì)算,比較即可得到答案.【解答】解:M=(x﹣3)(x﹣7)=x2﹣10x+21,N=(x﹣2)(x﹣8)=x2﹣10x+16,M﹣N=(x2﹣10x+21)﹣(x2﹣10x+16)=5,則M>N.故選:B.【點(diǎn)評(píng)】本題考查的是多項(xiàng)式乘多項(xiàng)式,掌握多項(xiàng)式乘以多項(xiàng)式的法則是解題的關(guān)鍵.

8.(﹣am)5?an=()A.﹣a5+m B.a(chǎn)5+m C.a(chǎn)5m+n D.﹣a5m+n【分析】根據(jù)積的乘方,等于把積的每一個(gè)因式分別乘方,再把所得的冪相乘;同底數(shù)冪相乘,底數(shù)不變指數(shù)相加計(jì)算即可.【解答】解:(﹣am)5?an=﹣a5m+n.故選:D.【點(diǎn)評(píng)】本題考查冪的乘方的性質(zhì)和同底數(shù)冪的乘法的性質(zhì),熟練掌握運(yùn)算性質(zhì)是解題的關(guān)鍵.

9.若(x﹣3)(x+4)=x2+px+q,那么p、q的值是()A.p=1,q=﹣12 B.p=﹣1,q=12 C.p=7,q=12 D.p=7,q=﹣12【分析】此題可以將等式左邊展開(kāi)和等式右邊對(duì)照,根據(jù)對(duì)應(yīng)項(xiàng)系數(shù)相等即可得到p、q的值.【解答】解:由于(x﹣3)(x+4)=x2+x﹣12=x2+px+q,則p=1,q=﹣12.故選:A.【點(diǎn)評(píng)】本題考查了多項(xiàng)式乘多項(xiàng)式的法則,根據(jù)對(duì)應(yīng)項(xiàng)系數(shù)相等求解是關(guān)鍵.

10.(xn+1)2(x2)n﹣1=()A.x4n B.x4n+3 C.x4n+1 D.x4n﹣1【分析】根據(jù)冪的乘方法計(jì)算.【解答】解:(xn+1)2(x2)n﹣1=x2n+2?x2n﹣2=x4n.故選:A.【點(diǎn)評(píng)】本題主要考查了冪的乘方與積的乘方,注意把各種冪運(yùn)算區(qū)別開(kāi),從而熟練掌握各種題型的運(yùn)算.

11.下列計(jì)算中,正確的是()A.a(chǎn)?a2=a2 B.(a+1)2=a2+1 C.(ab)2=ab2 D.(﹣a)3=﹣a3【分析】根據(jù)同底數(shù)冪的乘法法則對(duì)A進(jìn)行判斷;根據(jù)完全平方公式對(duì)B進(jìn)行判斷;根據(jù)冪的乘方與積的乘方對(duì)C、D進(jìn)行判斷.【解答】解:A、a?a2=a3,所以A選項(xiàng)不正確;B、(a+1)2=a2+2a+1,所以B選項(xiàng)不正確;C、(ab)2=a2b2,所以C選項(xiàng)不正確;D、(﹣a)3=﹣a3,所以D選項(xiàng)正確.故選:D.【點(diǎn)評(píng)】本題考查了完全平方公式:(a±b)2=a2±2ab+b2.也考查了同底數(shù)冪的乘法以及冪的乘方與積的乘方.

12.下列各式中不能用平方差公式計(jì)算的是()A.(x﹣y)(﹣x+y) B.(﹣x+y)(﹣x﹣y) C.(﹣x﹣y)(x﹣y) D.(x+y)(﹣x+y)【分析】根據(jù)公式(a+b)(a﹣b)=a2﹣b2的左邊的形式,判斷能否使用.【解答】解:A、由于兩個(gè)括號(hào)中含x、y項(xiàng)的符號(hào)都相反,故不能使用平方差公式,A正確;B、兩個(gè)括號(hào)中,﹣x相同,含y的項(xiàng)的符號(hào)相反,故能使用平方差公式,B錯(cuò)誤;C、兩個(gè)括號(hào)中,含x項(xiàng)的符號(hào)相反,y項(xiàng)的符號(hào)相同,故能使用平方差公式,C錯(cuò)誤;D、兩個(gè)括號(hào)中,含x項(xiàng)的符號(hào)相反,y項(xiàng)的符號(hào)相同,故能使用平方差公式,D錯(cuò)誤;故選:A.【點(diǎn)評(píng)】本題考查了平方差公式.注意兩個(gè)括號(hào)中一項(xiàng)符號(hào)相同,一項(xiàng)符號(hào)相反才能使用平方差公式.

13.計(jì)算a5?(﹣a)3﹣a8的結(jié)果等于()A.0 B.﹣2a8 C.﹣a16 D.﹣2a16【分析】先根據(jù)同底數(shù)冪相乘,底數(shù)不變指數(shù)相加計(jì)算,再合并同類(lèi)項(xiàng).【解答】解:a5?(﹣a)3﹣a8=﹣a8﹣a8=﹣2a8.故選:B.【點(diǎn)評(píng)】同底數(shù)冪的乘法的性質(zhì):底數(shù)不變,指數(shù)相加.合并同類(lèi)項(xiàng)的法則:只把系數(shù)相加減,字母與字母的次數(shù)不變.

14.已知m+n=2,mn=﹣2,則(1﹣m)(1﹣n)的值為()A.﹣3 B.﹣1 C.1 D.5【分析】多項(xiàng)式乘多項(xiàng)式法則,先用一個(gè)多項(xiàng)式的每一項(xiàng)乘以另一個(gè)多項(xiàng)式的每一項(xiàng),再把所得的積轉(zhuǎn)換成以m+n,mn為整體相加的形式,代入求值.【解答】解:∵m+n=2,mn=﹣2,∴(1﹣m)(1﹣n),=1﹣(m+n)+mn,=1﹣2﹣2,=﹣3.故選:A.【點(diǎn)評(píng)】本題考查了多項(xiàng)式乘多項(xiàng)式法則,合并同類(lèi)項(xiàng)時(shí)要注意項(xiàng)中的指數(shù)及字母是否相同.

15.已知多項(xiàng)式2x2+bx+c分解因式為2(x﹣3)(x+1),則b、c的值為()A.b=3,c=﹣1 B.b=﹣6,c=2 C.b=﹣6,c=﹣4 D.b=﹣4,c=﹣6【分析】根據(jù)因式分解是把一個(gè)多項(xiàng)式轉(zhuǎn)化成幾個(gè)整式積,可得答案.【解答】解:由多項(xiàng)式2x2+bx+c分解因式為2(x﹣3)(x+1),得2x2+bx+c=2(x﹣3)(x+1)=2x2﹣4x﹣6.b=﹣4,c=﹣6,故選:D.【點(diǎn)評(píng)】本題考查了因式分解的意義,利用了因式分解的意義.

16.計(jì)算(﹣a﹣b)2等于()A.a(chǎn)2+b2 B.a(chǎn)2﹣b2 C.a(chǎn)2+2ab+b2 D.a(chǎn)2﹣2ab+b2【分析】根據(jù)兩數(shù)的符號(hào)相同,所以利用完全平方和公式計(jì)算即可.【解答】解:(﹣a﹣b)2=a2+2ab+b2.故選:C.【點(diǎn)評(píng)】本題主要考查我們對(duì)完全平方公式的理解能力,如何確定用哪一個(gè)公式,主要看兩數(shù)的符號(hào)是相同還是相反.

二.填空題(共7小題)17.分解因式:x2﹣1=(x+1)(x﹣1).【分析】利用平方差公式分解即可求得答案.【解答】解:x2﹣1=(x+1)(x﹣1).故答案為:(x+1)(x﹣1).【點(diǎn)評(píng)】此題考查了平方差公式分解因式的知識(shí).題目比較簡(jiǎn)單,解題需細(xì)心.

18.分解因式:2x3﹣8x=2x(x﹣2)(x+2).【分析】先提取公因式2x,再對(duì)余下的項(xiàng)利用平方差公式分解因式.【解答】解:2x3﹣8x,=2x(x2﹣4),=2x(x+2)(x﹣2).【點(diǎn)評(píng)】本題考查因式分解,因式分解的步驟為:一提公因式;二看公式.運(yùn)用平方差公式進(jìn)行因式分解的多項(xiàng)式的特征:(1)二項(xiàng)式;(2)兩項(xiàng)的符號(hào)相反;(3)每項(xiàng)都能化成平方的形式.

19.分解因式:3ax2﹣6axy+3ay2=3a(x﹣y)2.【分析】先提取公因式3a,再對(duì)余下的多項(xiàng)式利用完全平方公式繼續(xù)分解.【解答】解:3ax2﹣6axy+3ay2,=3a(x2﹣2xy+y2),=3a(x﹣y)2,故答案為:3a(x﹣y)2.【點(diǎn)評(píng)】此題主要考查了用提公因式法和公式法進(jìn)行因式分解,一個(gè)多項(xiàng)式有公因式首先提取公因式,然后再用其他方法進(jìn)行因式分解,同時(shí)因式分解要徹底,直到不能分解為止.

20.分解因式:m3﹣4m2+4m=m(m﹣2)2.【分析】先提取公因式m,再對(duì)余下的多項(xiàng)式利用完全平方公式繼續(xù)分解.【解答】解:m3﹣4m2+4m=m(m2﹣4m+4)=m(m﹣2)2.故答案為:m(m﹣2)2.【點(diǎn)評(píng)】本題考查了用提公因式法和公式法進(jìn)行因式分解,一個(gè)多項(xiàng)式有公因式首先提取公因式,然后再用其他方法進(jìn)行因式分解,同時(shí)因式分解要徹底,直到不能分解為止.

21.x2+kx+9是完全平方式,則k=±6.【分析】這里首末兩項(xiàng)是x和3這兩個(gè)數(shù)的平方,那么中間一項(xiàng)為加上或減去x和3的積的2倍,故k=±6.【解答】解:中間一項(xiàng)為加上或減去x和3的積的2倍,故k=±6.【點(diǎn)評(píng)】本題是完全平方公式的應(yīng)用,兩數(shù)的平方和,再加上或減去它們積的2倍,就構(gòu)成了一個(gè)完全平方式.注意積的2倍的符號(hào),避免漏解.

22.化簡(jiǎn):(﹣2a2)3=﹣8a6.【分析】根據(jù)積得乘方與冪的乘方的運(yùn)算法則計(jì)算即可.【解答】解:(﹣2a2)3=(﹣2)3?(a2)3=﹣8a6.故答案為:﹣8a6.【點(diǎn)評(píng)】本題主要考查的是積得乘方與冪的乘方的運(yùn)算,掌握積得乘方與冪的乘方的運(yùn)算法則是解題的關(guān)鍵.

23.因式分解:y3﹣4x2y=y(y+2x)(y﹣2x).【分析】先提取公因式y(tǒng),再對(duì)余下的多項(xiàng)式利用平方差公式繼續(xù)分解.【解答】解:y3﹣4x2y,=y(y2﹣4x2),=y(y+2x)(y﹣2x).【點(diǎn)評(píng)】本題考查了提公因式法與公式法進(jìn)行因式分解,一個(gè)多項(xiàng)式有公因式首先提取公因式,然后再用其他方法進(jìn)行因式分解,同時(shí)因式分解要徹底,直到不能分解為止.

三.解答題(共3小題)24.分解因式:(1)(a2+b2)2﹣4a2b2(2)(x2﹣2xy+y2)+(﹣2x+2y)+1.【分析】(1)直接利用平方差公式分解因式,進(jìn)而利用完全平方公式分解因式即可;(2)直接利用完全平方公式分解因式得出即可.【解答】解:(1)(a2+b2)2﹣4a2b2=(a2+b2+2ab)(a2+b2﹣2ab)=(a+b)2(a﹣b)2;(2)(x2﹣2xy+y2)+(﹣2x+2y)+1=(x﹣y)2﹣2(x﹣y)+1=(x﹣y﹣1)2.【點(diǎn)評(píng)】此題主要考查了公式法分解因式,熟練應(yīng)用平方差公式和完全平方公式是解題關(guān)鍵.

25.已知,求的值.【分析】把兩邊平方得到+2=9,進(jìn)而求出的值.【解答】解:∵,∴+2=9,∴=7.【點(diǎn)評(píng)】本題主要考查了完全平方式的知識(shí)點(diǎn),解答本題的關(guān)鍵是把兩邊平方,此題基礎(chǔ)題,難度不大.

26.請(qǐng)認(rèn)真觀察圖形,解答下列問(wèn)題:(1)根據(jù)圖中條件,用兩種方法表示兩個(gè)陰影圖形的面積的和(只需表示,不必化簡(jiǎn));(2)由(1),你能得到怎樣的等量關(guān)系?請(qǐng)用等式表示;(3)如果圖中的a,b(a>b)滿(mǎn)足a2+b2=53,ab=14,求:①a+b的值;②a4﹣b4的值.【分析】(1)直接把兩個(gè)正方形的面積相加或利用大正方形的面積減去兩個(gè)長(zhǎng)方形的面積;(2)利用面積相等把(1)中的式子聯(lián)立即可;(3)注意a,b都為正數(shù)且a>b,利用(2)的結(jié)論進(jìn)行探究得出答案即可.【解答】解:(1)兩個(gè)陰影圖形的面積和可表示為:a2+b2或(a+b)2﹣2ab;(2)a2+b2=(a+b)2﹣2ab;(3)∵a,b(a>b)滿(mǎn)足a2+b2=53,ab=14,∴①(a+b)2=a2+b2+2ab=53+2×14=81∴a+b=±9,又∵a>0,b>0,∴a+b=9.②∵a4﹣b4=(a2+b2)(a+b)(a﹣b),且∴a﹣b=±5又∵a>b>0,∴a﹣b=5,∴a4﹣b4=(a2+b2)(a+b)(a﹣b)=53×9×5=2385.【點(diǎn)評(píng)】本題考查對(duì)完全平方公式幾何意義的理解與運(yùn)用,應(yīng)從整體和部分兩方面來(lái)理解完全平方公式的幾何意義;主要圍繞圖形面積展開(kāi)分析.您好,歡迎您閱讀我的文章,本W(wǎng)ORD文檔可編輯修改,也可以直接打印。閱讀過(guò)后,希望您提出保貴的意見(jiàn)或建議。閱讀和學(xué)習(xí)是一種非常好的習(xí)慣,堅(jiān)持下去,讓我們共同進(jìn)步。

項(xiàng)目經(jīng)理帶班檢查記錄項(xiàng)目經(jīng)理帶班檢查記錄

/項(xiàng)目經(jīng)理帶班檢查記錄項(xiàng)目經(jīng)理帶班檢查制度記錄表項(xiàng)目名稱(chēng):施工單位:編號(hào):檢查人員

檢查情況及存在隱患:年月日

整改日期

整改班組

整改責(zé)任人

項(xiàng)目安全員

執(zhí)行情況:整改責(zé)任人:

復(fù)查意見(jiàn):、復(fù)查人:年月日

我們認(rèn)識(shí)的數(shù)實(shí)踐作業(yè)我們認(rèn)識(shí)的數(shù)實(shí)踐作業(yè)

/我們認(rèn)識(shí)的數(shù)實(shí)踐作業(yè)《我們認(rèn)識(shí)的數(shù)》實(shí)踐作業(yè)班級(jí)姓名小朋友們,這一單元我們認(rèn)識(shí)了100以?xún)?nèi)的數(shù),這些數(shù)在生活中隨處可見(jiàn)。下面我們就用智慧的眼睛、靈巧的小手和聰明的頭腦,通過(guò)說(shuō)一說(shuō)、猜一猜、數(shù)一數(shù)這幾個(gè)環(huán)節(jié),來(lái)感受數(shù)與生活的密切聯(lián)系!《怎么都快樂(lè)》在語(yǔ)文書(shū)第35頁(yè)。說(shuō)一說(shuō)我爸爸的體重是75千克。我國(guó)有56個(gè)民族。一、

你會(huì)用100以?xún)?nèi)的數(shù)說(shuō)一句話(huà)嗎?。。。二、你能說(shuō)出自己家里每個(gè)人的年齡嗎?我們家里有()個(gè)人。稱(chēng)呼

年齡

把家庭成員的年齡從大到小排列:

今年我和爸爸的年齡相差()歲,再過(guò)5年,我和爸爸的年齡相差()歲。猜一猜活動(dòng)一:抓蠶豆游戲用大碗裝滿(mǎn)蠶豆,請(qǐng)小朋友和爸爸或媽媽張大手,每人盡力抓一把,估一估、數(shù)一數(shù),最后將結(jié)果填入下表?;顒?dòng)人

估一估

數(shù)一數(shù)

()粒

()粒

爸爸(媽媽?zhuān)?/p>

()粒

()粒

思考:我和爸爸(媽媽?zhuān)┱l(shuí)估得更準(zhǔn)些?為什么爸爸(媽媽?zhuān)┖臀易ヒ话褧?huì)相差很多?

活動(dòng)二:抓花生米游戲用大碗裝滿(mǎn)花生米,①小朋友張大手抓一把,估一估、再數(shù)一數(shù),將數(shù)據(jù)填入下表。②如果再讓你抓一次,估一估一把有多少粒,想想估的時(shí)候可以與什么比較呢?(提示:與抓的一把蠶豆的粒數(shù)比,也可以與第一次抓的花生米的粒數(shù)比)然后再數(shù)一數(shù),也把結(jié)果填入下表?;顒?dòng)次數(shù)

估一估

數(shù)一數(shù)

第一次

()粒

()粒

第二次

()粒

()粒

思考:為什么這次會(huì)估得比較準(zhǔn)?對(duì)這樣的估計(jì),你有什么經(jīng)驗(yàn)與大家分享?

活動(dòng)三:抓赤豆游戲用大碗裝滿(mǎn)赤豆,張大手抓一把,估一估,你抓了大約()粒,數(shù)一數(shù)是()粒。這次你估計(jì)得怎樣?

數(shù)一數(shù)從一樓到二樓有()級(jí)臺(tái)階,我家住在()樓,共()級(jí)臺(tái)階。我家里有()本課外書(shū)。剛才我們用認(rèn)識(shí)的數(shù)交流了生活中的事物,并且能進(jìn)行一些簡(jiǎn)單的估計(jì)。那你能到實(shí)際生活中去數(shù)一數(shù)物體的個(gè)數(shù)嗎?

你還數(shù)了生活中哪些物體的數(shù)量,請(qǐng)把它寫(xiě)下來(lái):

活動(dòng)反饋通過(guò)以上活動(dòng),你有哪些收獲?我的話(huà):

家長(zhǎng)的話(huà):

星級(jí)評(píng)定:☆☆☆☆☆(自評(píng))☆☆☆☆☆(家長(zhǎng)評(píng))

賓語(yǔ)從句專(zhuān)項(xiàng)練習(xí)題賓語(yǔ)從句專(zhuān)項(xiàng)練習(xí)題

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賓語(yǔ)從句專(zhuān)項(xiàng)練習(xí)題賓語(yǔ)從句專(zhuān)項(xiàng)練習(xí)題選擇填空1.Hesaid________shewouldleavethemessageontheheadmaster'sdesk.A.thatB.whereC.whichD.what2.Inthebookshop,areaderaskedtheshopkeeper________WhoMovedMyCheesewasaninterestingbook.A.thatB.howC.whatD.if3.A:Couldyoutellme________sheislookingfor?B:Hercousin,Susan.A.thatB.whoseC.whoD.which4.Iwanttoknow________.A.whatishisnameB.what'shisnameC.thathisnameisD.whathisnameis5.Couldyoutellme________?A.whendidTomcomebackB.whendoesTomcomebackC.whenTomwillcomebackD.whenTomcomesback6.A:Couldyoutellme________?B:I'mnotsure.A.howmanypeoplehavebeenoutofhospitalB.whenisThanksgivingDayC.whichanimaldoeshelikebestD.whattimewillthedolphinshowstart7.Mr.Kingdidn'tknow________yesterdayevening.A.whendoeshissoncomehomeB.whenhissoncomeshomeC.whendidhissoncomehomeD.whenhissoncamehome8.TheteachertoldusyesterdaythatDecember25________ChristmasDay.A.isB.wasC.hasbeenD.which9.Iwonder________youwouldliketocometomybirthdayparty.A.thatB.whetherC.thatifD.thatwhether10.A:I'mwaitingforthemail.Doyouknow________itwillarrive?B:Usuallyitcomesby4:00.A.howB.whereC.whenD.what11.Doyouknow________duringthecomingholiday?A.whatwillTomdoB.whatdidTomdoC.whatTomwilldoD.whatTomdid12.Theteachertoldusthatlight________muchfasterthansound.A.travelsB.traveledC.wouldtravelD.hadtraveled13.Doyouknowif________backnextweek?Ifhe________back,pleaseletmeknow.A.hecomes,willcomeB.willhecome,comesC.hewillcome,comesD.willhecome,willcome完成句子1.我不知道他昨天為什么沒(méi)去參加那次聚會(huì)。Idon’tknow_______________________________thepartyyesterday.2.你記起我上次所告訴過(guò)你的話(huà)了嗎?Haveyouremembered______________________________lasttime?3.你知道這是誰(shuí)的字典嗎?Doyouknow_____________________________________?4.請(qǐng)告訴我他們?cè)诘日l(shuí)。Pleasetellme______________________________________.5.他想知道那是正確答案嗎。Hewantedtoknow__________________________therightanswer.同義句轉(zhuǎn)換1.Hecan’tworkouttheproblem.Ibelieved.I____________________________________workouttheproblem.2.Howcanwegettotheplane?Idon’tknow.Idon’tknow___________________________gettotheplane.3.Wheredidyoufindthebook?Couldyoutellme?Couldyoutellme___________________________thebook?4.WhohasleftforHaikou?Nobodyknows.Nobodyknows____________________________________Haikou.5.Willyougotherebybus?Haveyoumadeadecision?Haveyoudecided___________________________therebybus?6.Wethinkthatit’simportantforustolearnEnglishwell.Wethink_____________________________________Englishwell.7.Idon’tknowwhytheyarestandingthere.Idon’tknow_________theyarestandingthere_________.8.Wenoticedthattheywereplayingfootballwhenwewenthome.Wenoticed__________________footballwhenwewenthome.習(xí)題(一)1Thegirlsaskedifthey____somefoodanddrinkwiththem.

A.tookB.takeC.takesD.willtake

2Catherinesaidthatshe___toGuangzhou.

A.hasnevergoneB.hadnevergoneC.hasneverbeenD.hadneverbeen

3Thestudentswanttoknowwhetherthey___dictionarytoday.

A.hadB.hasC.willhaveD.are

4SheaskedLindaif___goandgetsome.

A.couldsheB.shecouldC.shecanD.shemay

5Lindasaidthemoon___roundtheearth.

A.travelledB.hastravelledC.travellsD.hadtravelled習(xí)題(二)1Canyoutellme___youwereborn,Betty?

A.whoB.whatC.whenD.that

2Idon'tknow___theyhavepassedtheexam.

A.whatB.ifC.whenD.where

3Ihardlyunderstand.___hehastoldme.

A.thatB.whatC.whichD.who

4Shedidn'tknow___backsoon.

A.whetherhewouldbeB.ifwouldhebeC.hewillbe

5.Idon'tknow_____hestillliveshereaftersomanyyears.

A.whetherBwhereC.whatD.when

6.Doyouknow_____theylistenedtoyesterdayevening?

A.whatBwhenCwhyDhow

7.Heaskedme_____toldmetheaccident.

AwhomBwhichCwhoDwhose習(xí)題(三)1.Theydon'tknow?______theirparentsare.

AthatBwhatCwhyDwhich

2.Pleasetellme______whatlastyear.

A.wheredoesyoursisterworkBwheredidyoursisterworkCwhereyoursisterworksDwhereyoursisterworked

3.SheaskedmeifIknew______.

A.whosepenisitB.whosepenitwasC.whosepenitisD.whosepenwasit

4.Youmustremember________.

A.whatyourmothersaidB.whatdidyourmothersay

C.yourmothersaidwhatD.whathasyourmothersaid

5Didyouknow____?

A.whohewaslookingafterB.whowashelookingfor

C.whoheislookingforD.whoheislookingafter

6Couldyoutellme___?

A.whenwilltheyleaveBeijingB.whenwouldtheyleaveBeijing

C.whentheywillleaveBeijingD.whendidtheyleaveBeijing習(xí)題(四)1.Inthebookshop,areaderaskedtheshopkeeper_____WhoMovedMyCheesewasaninterestingbook.(北京市東城區(qū))

A.thatB.howC.whatD.if

2.—Idon'tknow_____Mr.Greenwillcometoseeus.

—HewillhelpuswithourEnglish.(杭州市)

A.whyB.whenC.howD.where

3.—Weneverknow_____theoldmanis.

—Theysayheisateacher.(鄂州市)

A.whatB.whoC.whichD.where

4.Iwastold_____BillGateswasthirteenhebegantoplaywithcomputers.(重慶市)

A.thathowB.howthatC.whenthatD.thatwhen

5.—Doyouknow_____?I'mgoingtoseehim.

—Sorry,Idon'tknow.(北京市海淀區(qū))

A.wheredoesMr.LiliveB.wheredidMr.Lilive

C.whereMr.LilivesD.whereMr.Lilived

6.—Wheredoyouthink_____he_____thecomputer?

—Sorry,Ihavenoidea.(南京市)

A./;boughtB.has;boughtC.did;buyD.does;buy

7.Idon'tfeelverywell.Mumaskedme_____thismorning.(重慶市)

A.whatthematterisB.whatiswrong

C.whatthematterwasD.whatwrongwas

8.—WhereisJack?

—Heisawaytospendhisholiday.He'sgoneeithertoHangzhouortoWuhan,butI'mnotsure_____.(南昌市)

A.thatB.whichC.whereD.there?賓語(yǔ)從句專(zhuān)項(xiàng)訓(xùn)練

I.從下列A、B、C、D中選擇一個(gè)正確選項(xiàng)填空。

1.Idon'tknow_________hewillcometomorrow._________hecomes,I'lltellyou.

A.if;WhetherB.whether;Whether

C.if;ThatD.if;If

2.Idon'tknow_________thedayaftertomorrow.

A.whendoeshecomeB.howwillhecome

C.ifhecomesD.whetherhe'llcome

3.Couldyoutellme_________thenearesthospitalis?

A.whatB.howC.whetherD.where

4.Couldyoutellme_________theradiowithoutanyhelp?

A.howdidhemendB.whatdidhemend

C.howhemendedD.whathemended

5.Iwanttoknow_________.

A.whomisshelookingafterB.whomsheislooking

C.whomisshelookingD.whomsheislookingafter

6.Doyouknowwhere_________now?

A.helivesB.doesheliveC.helivedD.didhelive

7.Doyouknowwhattime_________?

A.thetrainleaveB.doesthetrainleave

C.willthetrainleaveD.thetrainleaves

8.Idon'tknow_________.Canyoutellme,please?

A.howthetwoplayersareoldB.howoldarethetwoplayers

C.thetwoplayersarehowoldD.howoldthetwoplayersare

9.Thesmallchildrendon'tknow_________.

A.whatistheirstockingsinB.whatisintheirstockings

C.whereistheirstockingsinD.whatintheirstockings

10.Ican'tunderstand_________.

A.whatdoesChristmasmeanB.whatChristmasdoesmean

C.whatmeanChristmasdoesD.whatChristmasmeans

II.按要求轉(zhuǎn)換句型。

1.DoesMr.BrownenjoylivinginChina?Couldyoutellus?(改寫(xiě)句子)

→Couldyoutellus_________Mr.Brown_________livinginChina?

2.“Doesthegirlneedanyhelp?”heaskedme.(變?yōu)閺?fù)合句)

→Heaskedme_________thegirl_________somehelp.

3.Jimisnotastudent.Tomisnotastudent,either.(合并為一個(gè)句子)

_________Jim_________Tomisastudent.

4.Whendoesthetrainleave?Iwanttoknow.(改為含賓語(yǔ)從句的復(fù)合句)

Iwanttoknow_________thetrain_________.

5.Theywenthomeaftertheyhadfinishedtheirhomework.(用not...until改寫(xiě))

They_________gohome_________theyhadfinishedtheirhomework.

6.DidPetercomehereyesterday?LiLeiwantstoknow.(改為含賓語(yǔ)從句的復(fù)合句)

LiLeiwantstoknow_________Peter_________hereyesterday.賓語(yǔ)從句專(zhuān)題練習(xí)一.????????????選擇正確的答案.(???)1.Idon’tknow___________________.?????????A.whatdoeshelikebest????B.whathelikebest?????????C.whathedoeslikebest????D.whathelikesbest(???)2.Canyoutellme______________________?A.?????whereshelives??????B.wheredoesshelive????????????C.sheliveswhere???????D.whereshelive(???)3.Heaskedme_______________________________.????????A.whattimeisit??B.whattimeitis??C.whattimewasit??D.whattimeitwas(???)4.Doyouknow_______________________???????????A.howmuchdiditcost????B.howmuchitdidcost??????????C.howmuchitcost???????D.howmuchdoesitcost(???)5.Themanaskedher_______________________.??????????A,whydidshedoit??B.whyshedidit??Cwhyshedoes?D.whydoesshedoit(???)6.Nobodyknows_________________________.??????????A,whenwillshecomeback???B.whenshecomeback??????????C,whenshewillcomeback???D.whendoesshecomeback(???)7.Mumasked_______________________________.??????????A.wherehewas?B,wherewashe??C.whereheis???D.whereishe(???)8.Doyouknow_______________________________??????????A.whattheyarelookingfor????B.whataretheylookingfor?????????C,theyarelookingforwhat????D.whatdotheylookfor()9.Theteacherasked________________________________.????????A,whocananswerthisquestion???B.whocouldanswerthequestion????????C.whatquestiondidsheask??????D.sheansweredthisquestion(???)10.Iaskedher______________________________.?????????A.whetherhehasbeentoAustralia??B.whetherhashebeentoAustralia?????????C.whetherhehadbeentoAustralia??D.whetherhegoestoAustralia(???)11.Theteachertoldus________________________________.A.?????thatlighttraveledfasterthansound????B.iflighttraveledfasterthansound.C.thatlighttravelsfasterthansound??????D.iflighttravelsfasterthansound(???)12.Hesaidthat__________________________________.??????????A.heisdoinghishomework?????B.hedoeshishomework??????????C.hewasdoinghishomework????D.hedohishomework(???)13.Iaskedhim_________________________.?????????A.wheredidhego???B.wherehewent??C.wheredoeshego???D.wherehedidgo(???)14.Excuseme,couldyoutellme________________gettotheplane?????????Certainly.Gostraightalonehere.???????????A.howcanwe????B.howwecan???C.whencanwe???D.whenwecan(???)15.Doyouknow____________hewillridehereat8tomorrowmorning?????????????A.when????B.where????C.whether???D.how(???)16.Canyoutellmewhy______________________?????????BecauseIwanttohelpthepeoplethere.????????????A.doyougotoTibet(西藏)???B.didyougotoTibet????????????C.areyougoingtoTibet??????D.youaregoingtoTibet(???)17.Doyouknow_______________________________?????????????A.whattimedoesthetrainleave????B.whattimeleavesthetrain????????????C.whattimethetrainleave????????D.whattimethetrainleaves(???)18.Didhetellyou____________________attheschoolgate?????????????A.whohewaitedfor?????B.whoheiswaiting????????????C.whodidhewaitfor????D.whohewaswaiting(???)19.Couldyoutellme_______________________?????????????A.whoishe?????????????B.where’sthenearestrestaurant????????????C.ifhewillcometomorrow?D.whichwayistotheundergroundstation(???)20.Doyouknow_______________________________?????????Sorry.Idon’tknow.Youmayaskthewomanoverthere.????????????A.whentheshopopens????????B.whenistheshopopen?????????????C.whendoestheshopopen?????D.whenwilltheshopopen(???)21.Idon’tfeelwell.Mumaskedme______________-thismorning.????????A.whatthematteris??B.whatiswrong?C.whatwasthematter?D.whatwrongwas(???)22.Youmustremember________________________.???????????A.whatyourteachersaid????????B.whatdidyourteachersay???????????C.yourteachersaidwhat????????D.whathasyourteachersaid(???)23.Excuseme,sir.Couldyoutellme__________________________????????????A.whereisthebanknearest??????B.whereisthenearestbank???????????C.wherethenearestbankis??????D.thenearestbankiswhere(???)24.Wewanttoknow____________________inthefuture.????????????A.whatisourlifelike??????????B.whatourlifeislike????????????C.whatwillourlifelike????????D.whatourlifewillbelike(???)25Dad,doyouknow______________________???Inhalfanhour.??????????A.whenwillthefootballgamestart???????Bwhenthefootballgamewillstart‘?????????C.whenisthefootballgamegoingtostart?D.whenshallwestartthefootballgame(???)26.Couldyoutellme_______________________????????????A.whichbustheyarewaitingfor?????B.whichbusaretheywaitingfor???????????C.they’rewaitingforwhichbus??????D.whichbustheywait(???)27.Iaskedher__________________________.???????????A.whetherdidsheliketheredone????B.whethershelikestheredone???????????C.whetherdoessheliketheredone???D.whethershelikedtheredone(???)28.Ishalltakeback__________________justnow.????????????A.thatIsaid???B.whatdidIsay???C.howIsaid????D,whatIsaid(???)29.Heaskedme____________hehadcomehereornot.???????????A.why????B.how????C.that????D.whether(???)30.Canyouguess___________________thepeopleinthepictureare????????????A.when????B.whom???C.whose???D.who(???)31.I’mthinkingabout________________________________.???????A.ifI’llhelpher??B.whetherI’llhelpher??C.whatI’llhelpher??D.thatIhelpher(???)32.Weneverknow_____________.Theysayheisateacher.??????????A,whattheoldmanis????????B.whatistheoldman??C.whoistheoldman????????D.whichtheoldmanis(???)33.CanIhelpyou?Yes,canyoutellme___________________?

??????????A.howcanIusethetelephone????B.whereisthewashingroom??????????C.whichisthemostpopularbook?D.whenistheshopclosed(???)34,Doyouknow____-Mr.Black’saddress????????HemayliveatNO.28orNo.19ofBridgeStreet.I’mnotsureof____________.???????????A.where,which???B.where,what??C.what,which??D.what,where(???)35.Idon’tknow____________hestillliveshere.????????????A.where????B.what????C.when????D,whether(???)36.Canyoutellme___________sheiswaitingfor????????????A.why???B.whose???C.whom????D.which(???)37.Doyouknow________________________???Nextyear.???????????A.whenhecamehere???????B.whendidhecomehere???????????C.whenhewillcomehere???D.whenwillhecomehere(???)38.Doyouknow_________________duringthecomingsummerholiday??????????A.whatwillTomdo??B.whatdidTomdo??C.whatTomwilldo??D.whatTomdid(???)39.Jimdoesn’tunderstand__________________________________.???????????A.whichisthewaytothemuseum????B.whyhiswifealwaysgoesshopping???????????C.whatisthewaytothemuseum?????D.whydoesthewayalwaysgoshopping(???)40.Couldyoutellme_______________________?A.?????wherecanIbuythiskindofCDplayer?B.wherecouldIbuythiskindofCDplayerC.IcanbuythiskindofCDplayerwhere??D.whereIcanbuythiskindofCDplayer(???)41.Canyoutellme_______________________????????????A.what’sthethingwiththreelegs????B.whatthethinswiththreelegsis???????????C.thethingwiththreelegsiswhat????D.whatwiththreelegsisthething(???)42.Doyouknow______Icouldpasstheexam?Sorry,I’venoidea.??????????A.that???B.whether???C.what????D.which(???)43.Couldyoutellushowlong__________??Aboutthreedays.??????????A,dosthesportsmeetinglast????Bthesportsmeetinglast??????????Cwillthesportsmeetinglast????D.thesportsmeetingwilllast(???)44.Couldyoutellme______________??Hercousin,Susan

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