第一篇：清華附中一年一度的“數(shù)學(xué)百題大賽”——期中前篇(絕版資料,外傳是便宜了你們～)

初二上學(xué)期數(shù)學(xué)百題競(jìng)賽

姓名班級(jí)學(xué)號(hào)成績(jī)

一．判斷題

1）a8?a5?a8?5?a40???2）a2????a????3323）a6?a2?a3?a???4）a10?a5?a2?0???5）m3?m3?m6???6）m3?m3?m2??? ??37）?m3?3?m9???

9）??2?2???2?3?26???

11）?6xy?2?12x2y2???

13）??x3?2??x6???

15）??3a2b3?2??9a4b6???

17）xmn?m??xm?n?1???

19）2511??511?2???

二．填空題

1）x3?x

33）?x3?3

5）?a3b?3

7）????3

2a2b3???

????

29a3b2c???

9）bn?1?cm?2?bn?1?cm?

1311）???

??1?2

????233

??2?????

8）am?a2n?a2mn???10）?a3?3?a6???12）3a2?2a2?6a2???14）a?b2c?3?ab6c3??? m16）??1?m?2????0.5?m???1??4?????18）?a?b?2??b?a?2???a?b?4???20）y2?y3?y5???2）x3?x34）?103?36）??3x2y3?38）?2x2?3??5x2y?10）??ab?3???a2b????a2b2c?212）10.2514??230-1-

?3?13）???

?10?

2007

?1???3??3?

2007

?3??1??1?

14）????1????

?4??3??2?

1010200

5?22006

21）am?an?_______22）??a???a???a??________ 23）x5?____??x6?____??x1324）xn?2?x1?n?_______ 25）xm?n?5?xm?2??____?26）1010?m?10m?8?______ ??

27）???m?3

???m?_______29）?a3???a2??_______31）???y?3?

?_______33）?

?m

3?2

??m2?

?______35）???a2

b?

3?3

?______37）若a3??8a6b9，則x?______39）若xm?9,xn?81，則x2m?n?_____23

41）????1?2???????1?2???_____43）??5?16

???2?15

?_____3020

45）750

???1??7?????1?

?7?

?

?_____47）3a3?4b4?______3

49）???1?

2xy2??

?2xy2

??

?_______

51）??3?108???4?103?

?______53）??2ab??3a2?2ab?4b2?

?______55）?x?2??x?3??_______28）?a?b?3

?b?a?2

?a?b??_____

30）??a2?

?______

32）??22

?

?______

34）????12xy2?

??

?______

36）若?x3

?x

m?

?x14，則m?_____ 38）若644?83?2x，則x?______ 40）若a3n?4，則a6n?______

42）?0.125?16???8?17

?______

44）24?44???0.125?

4?______

46）??4?

2005

?0.252006?_____

48）2a3?5a3?_______

50）??1?

??3x2y??

??2xy2?

?______

52）426?525?_________ 54）??x?5???x?5??_______ 56）?3x?1??2x?5??_______

1??1??

57）?x???x???_______58）a?a?b??b?a?b??______

2??3??

59）a10?a2?_____60）1010?_____?102

61）-24x2y3÷(-8x2y2)=________62)(6×106)÷(-3÷103)=.63)12a3b÷(-3a2b)=________64)(-1x2y2)÷(-1xy2)=.5565)12x5y6z14÷(-2x3y3z6)÷3x2y2z=______66)[(-x-y)3-2(x+y)2-4(x+y)]÷(x+y)=_____

三．因式分解

67）3a + 6a2 =__________68）8a3b2 +12ab3c =_________ 69）12xyz – 9x2y2 =_______________70）2a(b +c)– 3(b+c)2 =__________71）p(a2 +b2)– q(a2 + b2)=____________72）4x2 – 9=__________________73）25x2-1=_________________74）a2b – b3=_________________ 75）x4 – y4=___________________76）3x4 – 27y4=_____________ 77）(a+b)2-(x+y)2=_______________78）(x+y)2 –(x+y)=_____________ 79）x2-4x +4 =_______________80）x2y2 + 2xy +1 =_______________ 四.填空題 81）??2?

2n?1

?2???2?

2n

82）若3x2?2x?1?x?b?中不含x2項(xiàng)，則b的值是83）比較2100,375,550三數(shù)的大小，并用“>”號(hào)連接起來(lái)是.84）若

?a?3?2?b?2?0，則ab?4ba的值為.2

??

85）若a，b為有理數(shù)，且2a2?2ab?b2?4a?4?0，則a2b?b2a的值為86）若1?x?x2?x3?0，則x?x2?x3????x2008的值為.?2m?5n?p??58n

87）已知?，則m的值為.32?3m?2n?p?9

答題紙一、二、三、四、判斷題

填空題

因式分解

附加題