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è®¡ç® (-3)2n+1+3•(-3)2nç»ææ£ç¡®çæ¯( )
A. 32n+2 B. -32n+2 C. 0 D. 1
2. æ以ä¸5个å½é¢:â 3a2+5a2=8a2â¡m2•m2=2m2 â¢x3•x4=x12 â£(-3)4•(-3)2=-36 â¤(x-y)2•(y-x)3=(y-x)5 ä¸,æ£ç¡®å½é¢ä¸ªæ°æ( )
A. 1个 B. 2个 C. 3个 D. 4个
3. éå2x(x-1)-x(2x-5)=12çxå¼æ¯( )
A. x=1 B. x=2 C. x=4 D. x=0
4. 设(5a+3b)2=(5a-3b)2+M,åMçå¼æ¯( )
A. 30ab B. 60ab C. 15ab D. 12ab
5. å·²ç¥xa=3 xb=5 åx3a+2bçå¼ä¸º( )
A. 27 B. 675 C. 52 D. 90
6. -anä¸(-a)nçå
³ç³»æ¯( )
A. ç¸ç
B. äºä¸ºç¸åæ°
C. å½n为å¥æ°æ¶,å®ä»¬ç¸ç; å½n为å¶æ°æ¶,å®ä»¬äºä¸ºç¸åæ°
D. å½n为å¥æ°æ¶,å®ä»¬äºä¸ºç¸åæ°; å½n为å¶æ°æ¶,å®ä»¬ç¸ç
7.ä¸å计ç®æ£ç¡®çæ¯( )
A .(-4x)(2x2+3x-1)=-8x3-12x2-4x B. (x+y)(x2+y2)= x3+ y3
C. (-4a-1)(4a-1)=1-16a2 D. (x-2y)2=x2-2xy+4y2
8. ä¸åä»å·¦å°å³çåå½¢ä¸,å±äºå å¼å解çæ¯( )
A.( x+1)( x-1)=- x2-1 B. x2-2x+1= x(x-2)+1
C. a2-b2=(a+b)(a-b) D. mx+my+nx+ny=(x+y)m+n(x+y)
9.è¥x2+mx-15=(x+3)(x+n),åmçå¼ä¸º( )
A. -5 B. 5 C. -2 D. 2
10. 4(a-b)2-4(b-a)+1å解å å¼çç»ææ¯( )
A.(2a-2b+1)2 B. (2a+2b+1)2
C. (2a-2b-1)2 D. (2a-2b+1) (2a-2b-1)
填空é¢ã
11.计ç®3xy2·(-2xy)=
12.å¤é¡¹å¼6x2y-2xy3+4xyzçå
¬å å¼æ¯
13.å¤é¡¹å¼(mx+8)(2-3x)å±å¼åä¸å«x项, åm=
14.设4x2+mx+121æ¯ä¸ä¸ªå®å
¨å¹³æ¹å¼,åm=
15.å·²ç¥a+b=7,ab=12,åa2+b2=
ä¸. 解çé¢( å
±55å )
16. è®¡ç® (a2)4a-(a3)2a3
17. 计ç®(5a3b)·(-4abc) ·(-5ab)
18. å·²ç¥22n+1+4n=48, æ±nçå¼.
19. å
åç®,åæ±å¼ (x+3)(x-4)-x(x-2) ,å
¶ä¸x=11
20. å©ç¨ä¹æ³å
¬å¼è®¡ç®
(1) 1.02Ã0.98 (2) 992
21. å å¼å解 4x-16x3
22. å å¼å解 4a(b-a)-b2
23. å·²ç¥(x+my)(x+ny)=x2+2xy-6y2,æ± -(m+n)•mnçå¼.
24. å·²ç¥a+b=3, ab= -12,æ±ä¸ååå¼çå¼.
(1) a2+b2 (2) a2-ab+b2
éå é¢ã
1. ä½ è½è¯´æ为ä»ä¹å¯¹äºä»»æèªç¶æ°n,代æ°å¼n(n+7)-(n-3)(n-2)çå¼é½è½è¢«6æ´é¤å?
2. å·²ç¥a,b,c æ¯â³ABCçä¸è¾¹çé¿,ä¸æ»¡è¶³:
a2+2b2+c2-2b(a+c)=0,è¯å¤ææ¤ä¸è§å½¢çå½¢ç¶.
ææ«æ´å¼å¤ä¹ é¢çæ¡
ä¸. éæ©é¢( å
±10é¢ æ¯å°é¢3å å
±30å)
1. C , 2. B 3. C 4. B 5. B 6. C 7. C 8. C 9.C 10. A
äº.填空é¢( æ¯é¢3å å
±15å )
11. -6x2y3 12. 2xy(3x-y2+2z) 13. 12 14. 44 15. 25
ä¸. 解çé¢( å
±55å )
16. 解: åå¼=a8a-a6a3= a9-a9= 0
17. 解: åå¼=( -20a4b2c)(-5ab)= 100 a5b3c
18. 解: 22n+1+4n=48 22n·2+ 22n = 48 22n (1+2)=48 22n = 16 22n =24 n=2
19. 解: åå¼=x2-4x+3x-12-x2+2x
=x-12
æX=11代å
¥x-12å¾:
x-12=-1
20. (1)解: åå¼=(1+0.02)(1-0.02)=1-0.004=0.9996
(2) 解: åå¼=(100-1)2=10000-200+1=9801
21. 解: åå¼=4x(1-4 x2)=(1+2x)(1-2x)
22. 解: åå¼=4ab-4a2-b2 =-(4a2-4ab+ b2 )=- (2a-b) 2
23. 解: (x+my)(x+ny)=x2+2xy-6y2,
x2+(m+n)xy+mny2= x2+2xy-6y2
å³: m+n=2 mn=-6
-( m+n)·mn=(-2) ·(-6)=12
24. (1) 解: a2+b2
= a2+2ab+b2 -2ab
=(a+b) 2- 2ab
æa+b=3, ab= -12代å
¥(a+b) 2- 2abå¾:
(a+b) 2- 2ab=9+24=33
(2) 解: a2-ab+b2
= a2-ab+3ab+ b2-3ab
= a2+2ab+b2 -3ab
=(a+b) 2-3ab
æa+b=3, ab= -12代å
¥(a+b) 2- 3abå¾:
(a+b) 2- 3ab=9+36=45
éå é¢(10å æ¯é¢5å)
解: n(n+7)-(n-3)(n-2)=n2+7n-(n2-5n+6)
= n2+7n-n2+5n-6=12n-6=6(2n-1)
å³: 代æ°å¼n(n+7)-(n-3)(n-2)çå¼é½è½è¢«6æ´é¤
解: a2+2b2+c2-2b(a+c)=0 a2+b2+ b2+c2-2ba-2bc=0
(a-b) 2+(b-c) 2=0 å³: a-b=0 , b-c=0 a=b= c
æ以â³ABCæ¯çè¾¹ä¸è§å½¢.
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