第8章同底数幂的除法(1)练习含答案.doc

第4课时同底数幂的除法(1)

【基础巩固】

1．下列各式计算正确的是( )

A．(a＋1)2＝a2＋1 B．a2＋a3＝a5C．a8÷a2＝a6D．3a2－2a2＝1 2．a m＝3 ,a n＝2 ,则a m－n的值是( )

A．1.5 B．6 C．9 D．8

3．化简：6a6÷3a3＝_______．

4．(1)①195÷192＝_______ ,②(－1

4

)6÷(－

1

4

)2＝_______ ,③(－m)8÷(－m)3＝_______；

(2)①x9a÷x4a＝_______ ,②b2m÷bm－1＝_______；

(3)①(a－2)6÷(2－a)5＝_______ ,②(－a－b)5÷(a＋b)＝_______；

(4)①(－mn)9÷(mn)4＝_______ ,②(a2)3÷(－a2)2＝_______．

5．(1)若a m＋2÷a3＝a5 ,则m＝_______；(2)若a x＝5 ,a y＝3 ,则a y－x＝_______．6．计算：

(1)x10÷x5．x3；(2)－(－6)6．(－6)4÷(－6)8；

(3)(a－b)10÷(b－a)7；(4)(x n＋1)2÷(x2)n；

(5)(－xy)7÷(－xy)4；(6)(－2a)6÷[－(2a)]3．

【拓展提优】

7．已知3x＝a ,3y＝b ,则32x－y等于( )

A．

2

a

b

B．a2b C．2ab D．a2＋

1

b

8．计算(a2)3÷(a2)2的结果是( )

A．a B．a2C．a3D．a4 9．若3x＝4 ,9y＝7 ,则3x－2y的值为( )

A．4

7

B．

7

4

C．－3 D．

2

7

10．(1)①(－a)3÷(－a2)＝_______ ,②a10÷(a5÷a2)＝_______；

(2)①x n＋1÷x2n－3＝_______ ,②8m＋1÷4m＝_______

11．(1)若32÷8n－1＝2n ,则n＝_______；

(2)若a m＝3 ,a n＝－2 ,则a m＋n＝_______ ,a m－n＝_______．

12．计算：

(1)(－x)3÷(－x2)；(2)(－x2y3)5÷(－x2y3)2；(3)(4×108)÷(8×105)；

(4)x10÷(x4÷x2)；(5)279÷97÷3；(6)(－a)7÷a3．(－a)2；

(7)(a4)3÷(－a3)2．(－a)3；(8)(x3)2÷x2．x3－2x3．(－x5)2÷(x2)3．13．已知3×9m×27m＝321 ,求(－m2)3÷(m3．m2)的值．

14．(1)若x m＝10 ,x n＝－1 ,x k＝2 ,求x m－2k＋3n的值；(2)若3x＝4 ,3y＝6 ,求92x－y的值．

参考答案

【基础巩固】

1．C 2．A 3．2a34．(1)①193②(1

4

)4③－m5(2)①x5a②b m＋1

(3)①2－a ②－(a＋b)4(4)①－m5n5 ②a25．(1)6(2)3

5

6．(1)x8(2)－36 (3)(b

－a)3(4)x2(5)－x3y3(6)－8a3

【拓展提优】

7．A 8．B 9．A

10．(1)①a ②a7(2)①x4－n②2m＋3

11．(1)2 (2)－6 －1.5 12．(1)x (2)－x6y9(3)500 (4)x8(5)312(6)－a6(7)－a9(8)－x7

13．－4

14．(1)－2.5 (2)64 9

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同底数幂的除法

同底数幂的除法 教学建议1．知识结构： 2．教材分析 （1）重点和难点 重点：准确、熟练地运用法则进行计算．同底数幂的除法性质是幂的运算性质之一，是整式除法的基础，一定要打好这个基础. 难点：根据乘、除互逆的运算关系得出法则．教科书中根据除法是乘法的逆运算，从计算和这两个具体的同底数的幂的除法，到计算底数具有一般性的，逐步归纳出同底数幂除法的一般性质.所以乘、除互逆的运算关系得出法则是本节的难点. （2）教法建议： 1．教科书中根据除法是乘法的逆运算，从计算和这两个具体的同底数的幂的除法，到计算底数具有一般性的，逐步归纳出同底数幂除法的一般性质.教师讲课时要多举几个具体的例子，让学生运算出结果，接着，让学生自己举几个例子，再计算出结果，最后，让学生自己归纳出同底数的幂的除法法则. 2．性质归纳出后，不要急于讲例题，要对法则做几点说明、强调，以引起学生的注意.（1）要强调底数是不等

于零的，这是因为，若为零，则除数为零，除法就没有意义了.（2）本节不讲零指数与负指数的概念，所以性质中必须规定指数都是正整数，并且，要让学生运用时予以注意. 重点、难点分析 1．同底数幂的除法法则：同底数幂相除，底数不变，指数相减，即（，、都是正整数，且）. 2．指数相等的同底数的幂相除，商等于1，即，其中 . 3．同底数幂相除，如果被除式的指数小于除式的指数，则出现负指数幂，规定 （其中，为正整数）. 4．底数可表示非零数，或字母或单项式、多项式（均不能为零）. 5．科学记数法：任何一个数（其中1 ，为整数）. 同底数幂的除法（第一课时） 一、教学目标 1．掌握同底数幂的除法运算性质. 2．运用同底数幂的除法运算法则，熟练、准确地进行计算. 3．通过总结除法的运算法则，培养学生的抽象概括能力.

短文改错 主谓一致

高考英语短文改错考点解析：主谓一致 一、考点规律分析 从广义来说，英语中的一致问题涉及多个方面，如主谓一致、人称的一致、并列结构的前后一致等。由于人称的一致已归入“代词”考点、并列结构的前后一致已分别归入非谓语动词、时态等，所以这里只归纳主谓一致问题。 二、真题单句归纳 （1）Bill was standing at the side of the car，talking to two men who was helping him to repair it. （2）Playing football not only makes us grow up tall and strong but also give us a sense of fair play and team spirit. （3）Now my picture and the prize is hanging in the library. （4）But then there is always more mysteries to look into. （5）But not allinformation are good to society. （6）So then， a concert cost so much. I may just listen to music. （7）If I listen to my own records，there are no need to spend money. （8）…you will probably want to join the Stamp Collectors… Club which exist to add more stamps to your collection. （10）One evening she told me that something happened when their parents was out. 三、模拟单句演练 （1）Her parents were in Shanghai，and so was his. （2）As is known to us all，remembering English words are not easy. （3）The police was looking for the murderer everywhere in the city. （4）Writing English and speaking it is different things. （5）It is the parents and their son who wants to buy the bicycle. （6）What he said at the meeting were very important to us.

同底数幂的除法(新)

同底数幂的除法 一、学习目的 1、会用同底数幂的除法性质进行计算 2、理解零指数与负整数指数的意义 3、会用科学记数法表示绝对值较小的数 二、学习要求 1、掌握同底数幂的除法性质，能用字母式子和文字语言表述这一性质并能运用它熟练地进行运算 2、了解零指数和负整数指数的意义 3、了解正整数指数幂的运算性质可以推广到整数指数幂掌握整数指数幂的运算。 4、会用科学记数法表示数 三、例题分析 第一课时 [例1]根据除法是乘法的逆运算，所以由102×103=105,可得 105÷103=102（即105-3），由24×25=29可得29÷24=25（即29-4），思考当a≠0，m,n都是正整数且m>n时，a m÷a n应等于什么？利用这一结论， 计算：(1)x10÷x5(2) y9÷y (3) (-a5) ÷(-a) (4) (-m5) ÷(-m)2(5)(ab)4÷(ab)2(6) x n+3÷x n+1

提示：由a m-n·a n=a m，可知，a m÷a n=a m-n(a≠0,m,n都是正整数且m>n)；也可以由幂的定义，除法定义得出这一结论， 这就是说，同底数的幂相除，底数不变，指数相减。 说明：同底数幂相除，底数不变，指数相减，即a m÷a n=a m-n(a≠0,m、n都是正整数，并且m>n)，这就是同底数幂的除法性质，理解这一性质时，要特别注意底数a是不等于零的，若a为零，则除数为零，除法就没有什 么意义了。 [例2]同底数幂相除，如果被除式的指数等于除式的指数，例如： 45÷45，，a m÷a n=a m-n(a≠0)，可以看出，所得的商都等于1，另一方面，仿照同底数幂的除法性质来计算，得45÷45=45-5= 40， ，a m÷a m=a m-m=a0(a≠0)若我们规定 40=1,,当a≠0时，a0=1，那么同底数幂的除法性质就仍可使用，也就是说只要引入一个非零数的0次幂概念后，同底数幂的除法性质的使用范围就扩大了，（即m可以与n相等），由此我们规定：任何不等于0的数的0次幂 都等于1，利用这一性质计算：

主谓一致改错专项训练

主谓一致改错专项训练 A 级单项单句改错 1.Mr. Smith and Mrs. Smith are teacher. 2.Both coffee and beer is on sale in the shop. 3.Either the students or the teacher are to blame. 4.Notonlythestudentsbutalsotheirteacherdon'tknowaboutit. 5.Mr. Green besides his sons like sports. 6.Each of the books costs five yuan. 7.More than 30 percent of the surface are covered by water. 8.A new type of machine are on show now. 9.She is one of the teacher who have been to America. 10.Four hours are enough to do the work. B 级单项单句改错 1.The questions raised by the boy is very important. 2.The teacher and writer are her friend. 3.Tom, together with Mary and Alice, are going to swim thisafternoon. 4.Neither of these words are correct. 5.About 70 percent of the students is from the south, and therest of them are from the north and foreign countries. 6.Machines of this new type is made in Wuhan. 7.The windows which faces south are all broken. 8.She is the only one of the students who have been invitedto the party.

1.3 同底数幂的除法

1.3 同底数幂的除法 一、选择题 1.下列计算正确的是（ ） A. x 2+x 5=x 7 B. x 5﹣x 2=3x C. x 2?x 5=x 10 D. x 5÷x 2=x 3 2.计算（﹣2）0+9÷（﹣3）的结果是（ ） A. ﹣1 B. ﹣2 C. ﹣3 D. ﹣4 3.已知（2x ﹣3）0=1，则x 的取值范围是（ ） A. x ＞ 3 2 B. x ＜ 3 2 C. x= 3 2 D. x≠ 3 2 4.下列各式；①（﹣2）0；②﹣22；③（﹣2）3 ， 计算结果为负数的个数是（ ）个． A. 3 B. 2 C. 1 D. 0 5.计算：（ 12 ）﹣1﹣（π﹣1）0 ， 结果正确的是（ ） A. 2 B. 1 C. ﹣ 1 2 D. ﹣ 3 2 6.方程（x 2+x ﹣1）x+3=1的所有整数解的个数是（ ） A. 5个 B. 4个 C. 3个 D. 2个 7.若 a ?1+ b a+b ?1 =k ，则 a ?2+b 2a 2+b ?2 =（ ） A. k B. 1 2 k C. k 2 D. 1 2 k 2 8.若a=0.32 ， b=﹣3﹣2 ， c=（﹣1 3）﹣2 ， d=（﹣1 3）0 ， 则（ ） A. a ＜b ＜c ＜d B. b ＜a ＜d ＜c C. a ＜d ＜c ＜b D. c ＜a ＜d ＜b 二、填空题 9.计算x 6÷（﹣x ）4的结果等于________ 10.若a x =2，a y =3，则a 3x ﹣2y =________． 11.若（2x ﹣3）x+5=1，则x 的值为________． 12.若（m ﹣2）0无意义，则代数式（﹣m 2）3的值为________． 13.√x ?1 +（y ﹣2016）2=0，则x ﹣2+y 0=________． 14.对于实数a 、b ，定义运算：a ▲b= {a b (a >b,a ≠0)a ?b (a ≤b,a ≠0) ；如：2▲3=2﹣3= 1 8 ，4▲2=42=16．照此定义的 运算方式计算[2▲（﹣4）]×[（﹣4）▲（﹣2）]=________． 三、解答题 15.（p ﹣q ）4÷（q ﹣p ）3?（p ﹣q ）2 ．

主谓一致改错题 (2)

“主谓一致”改错专题训练 I. A级单项单句改错 1. Mr. Smith and Mrs. Smith are teacher. 2. Both coffee and beer is on sale in the shop. 3. Either the students or the teacher are to blame. 4. Not only the students but also their teacher don't know about it. 5. Mr. Green besides his sons like sports. 6. Each of the books costs five yuan. 7. More than 30 percent of the surface are covered by water. 8. A new type of machine are on show now. 9. She is one of the teacher who have been to America. 10. Four hours are enough to do the work. B级单项单句改错 1. The questions raised by the boy is very important. 2. The teacher and writer are her friend. 3. Tom, together with Mary and Alice, are going to swim this afternoon. 4. Neither of these words are correct. 5. About 70 percent of the students is from the south, and the rest of them are from the north and foreign countries. 6. Machines of this new type is made in Wuhan. 7. The windows which faces south are all broken. 8. She is the only one of the students who have been invited to the party. 9. When and where to hold the sports meet is not decided yet. 10. The number of people invited was fifty, but a number of them was absent for different reasons.

高考英语复习 主谓一致改错专题训练

2008高考英语复习主谓一致改错专题训练 I. A级单项单句改错 1. Mr. Smith and Mrs. Smith are teacher. 2. Both coffee and beer is on sale in the shop. 3. Either the students or the teacher are to blame. 4. Not only the students but also their teacher don't know about it. 5. Mr. Green besides his sons like sports. 6. Each of the books costs five yuan. 7. More than 30 percent of the surface are covered by water. 8. A new type of machine are on show now. 9. She is one of the teacher who have been to America. 10. Four hours are enough to do the work. B级单项单句改错 1. The questions raised by the boy is very important. 2. The teacher and writer are her friend. 3. Tom, together with Mary and Alice, are going to swim this afternoon. 4. Neither of these words are correct. 5. About 70 percent of the students is from the south, and the rest of them are from the north and foreign countries. 6. Machines of this new type is made in Wuhan. 7. The windows which faces south are all broken. 8. She is the only one of the students who have been invited to the party. 9. When and where to hold the sports meet is not decided yet. 10. The number of people invited was fifty, but a number of them was absent for different reasons.