11. 已知$a - b + c = 3$,$a^2 + b^2 + c^2 = 3$,则$a^3 + b^3 + c^3$的值为(
A.$-2$
B.$-1$
C.$1$
D.$2$
C
)A.$-2$
B.$-1$
C.$1$
D.$2$
答案
11.C
12. 计算$(-4a^2+12a^3b)÷(-4a^2)$的结果是(
A.$1-3ab$
B.$-3ab$
C.$1+3ab$
D.$-1-3ab$
A
)A.$1-3ab$
B.$-3ab$
C.$1+3ab$
D.$-1-3ab$
答案
12.A
13. 计算:$a^5÷ a^3=$
$a^2$
。答案
13.$a^2$
14. 计算:$2020^0 -1=$
0
。答案
14.0
15. 若$a=2b+1$,则$a^2 -4ab +4b^2 +2025=$
2026
答案
15.2026
16. 已知$a+b=3$,$ab=2$,则$a^2b+ab^2=$
6
。答案
16.6
三、解答题
17. 计算:
(1) $2(y^6)^2 - (y^4)^3$;
(2) $(ab^2c)^2 ÷ (ab^3c^2)$;
(3) $(-x - y)(x - y) + (x + y)^2$;
(4) $803 × 797$;
(5) $( \frac{1}{3}a + b )( \frac{1}{3}a - b )$;
(6) $(-6xy^6)(2xy^2 - \frac{1}{3}x^3y^2)$;
(7) $(-2mn^2)^2 - 4mn^3(mn + 1)$;
(8) $3a^2(a^3b^2 - 2a) - 4a(-a^2b)^2$;
17. 计算:
(1) $2(y^6)^2 - (y^4)^3$;
(2) $(ab^2c)^2 ÷ (ab^3c^2)$;
(3) $(-x - y)(x - y) + (x + y)^2$;
(4) $803 × 797$;
(5) $( \frac{1}{3}a + b )( \frac{1}{3}a - b )$;
(6) $(-6xy^6)(2xy^2 - \frac{1}{3}x^3y^2)$;
(7) $(-2mn^2)^2 - 4mn^3(mn + 1)$;
(8) $3a^2(a^3b^2 - 2a) - 4a(-a^2b)^2$;
答案
17. (1) $y^{12}$
(2) $ab$
(3) $2y^2+2xy$
(4) 639 991
(5) $\frac{1}{9}a^2-b^2$
(6) $-12x^2y^8+2x^4y^8$
(7) $-4mn^3$
(8) $-a^5b^2-6a^3$
(2) $ab$
(3) $2y^2+2xy$
(4) 639 991
(5) $\frac{1}{9}a^2-b^2$
(6) $-12x^2y^8+2x^4y^8$
(7) $-4mn^3$
(8) $-a^5b^2-6a^3$
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