当x=0时,|y|=|c|≤1,①
当x=
1 |
2 |
a |
4 |
1 |
2 |
当x=1时,|y|=|a+b+c|≤1,③
由①②③,可得:
|a|=4|(
a |
4 |
1 |
2 |
1 |
2 |
1 |
2 |
a |
4 |
1 |
2 |
|b|=4|(
a |
4 |
1 |
2 |
1 |
4 |
3 |
4 |
a |
4 |
1 |
2 |
∴≤8+8+1=17,
当a=8,b=8,c=1时取等号;
当a=-8,b=8,c=-1时也取等号.
∴最大值为17;
故选D.
1 |
2 |
a |
4 |
1 |
2 |
a |
4 |
1 |
2 |
1 |
2 |
1 |
2 |
a |
4 |
1 |
2 |
a |
4 |
1 |
2 |
1 |
4 |
3 |
4 |
a |
4 |
1 |
2 |