题目内容
| a |
| |a| |
| |b| |
| b |
| c |
| |c| |
| |abc| |
| abc |
| bc |
| |ab| |
| ac |
| |bc| |
| ab |
| |ac| |
∵
=1或-1,
=1或-1,
=1或-1,
又∵
+
+
=1,
∴
,
,
三个式子中一定有2个1,一个-1,
不妨设,
=
=1,
=-1,即a>0,b>0,c<0,
∴|abc|=-abc,|ab|=ab,|bc|=-bc,|ac|=-ac,
∴原式=(
)2003÷(
×
×
)=(-1)2003÷1=-1.
| a |
| |a| |
| b |
| |b| |
| c |
| |c| |
又∵
| a |
| |a| |
| |b| |
| b |
| c |
| |c| |
∴
| a |
| |a| |
| b |
| |b| |
| c |
| |c| |
不妨设,
| a |
| |a| |
| b |
| |b| |
| c |
| |c| |
∴|abc|=-abc,|ab|=ab,|bc|=-bc,|ac|=-ac,
∴原式=(
| -abc |
| abc |
| bc |
| ab |
| ac |
| -bc |
| ab |
| -ac |
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