问题 解答题
历史上的数学巨人欧拉最先把关于x的多项式用记号f(x)(f可用其它字母,但不同的字母表示不同的多项式)形式来表示,例如f(x)=x2+3x-5,把x=某数时多项式的值用f(某数)来表示.例如x=-1时多项式x2+3x-5的值记为f(-1)=(-1)2+3×(-1)-5=-7.已知g(x)=-2x2-3x+1,h(x)=ax3+2x2-x-12.
(1)求g(-2)值;
(2)若h(
1
2
)=-11,求g(a)的值.
答案

(1)g(-2)=-2×(-2)2-3×(-2)+1

=-2×4-3×(-2)+1

=-8+6+1

=-1;

(2)∵h(

1
2
)=-11,

∴a×(

1
2
3+2×(
1
2
2-
1
2
-12=-11,

解得:

1
8
a=1,

即a=8

∴g(a)=-2×82-3×8+1

=-2×64-24+1

=-128-24+1

=-151.

完形填空
完形填空。
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