【提出问题】三个有理数 a,b,c 满足 abc>0 ,求 |a|a+|b|b+|c|c 的值.
【解决问题】解:由题意,得 a,b,c 三个有理数都为正数或其中一个为正数,另两个为负数.
① a,b,c 都是正数,即 a>0,b>0,c>0 时,则 |a|a+|b|b+|c|c=aa+bb+cc=1+1+1=3 ;
②当 a,b,c 中有一个为正数,另两个为负数时,不妨设 a>0,b<0,c<0 ,则 |a|a+|b|b+|c|c=aa+−bb+−cc=1+(−1)+(−1)=−1 .
综上所述, |a|a+|b|b+|c|c 值为3或-1.
【探究】请根据上面的解题思路解答下面的问题:
We can make mistakes at any age. Some mistakes we make are about money. But most mistakes are about people. "Did Jerry really care when I broke up with Helen?" "When I got that great job, did Jerry really feel good about as a friend? Or did he envy my luck?" When we look back, doubts like these can make us feel bad. But when we look back, it's too late.
Why do we go wrong about our friends or our enemies? Sometimes what people say hides their real meaning. And if we don't really listen, we miss the feeling behind the words. Suppose someone tells you, "You're a lucky dog." Is he really on your side? If he says, "You're a lucky guy." or "You're a lucky gal." That's being friendly. But "lucky dog"? There's a bit of envy in those words. Maybe he doesn't see it himself. But bringing in the "dog" bit puts you down a little. What he may be saying is he doesn't think you deserve your luck.
How can you tell the real meaning behind someone's words? One way is to take a good look at the person talking. Do his words fit the way he looks? Does what he says square with the tone of voice? His posture(体态)? The look in his eyes? Stop and think. Spend some time thinking about the real meaning of what people say to you, and you may save another mistake.
地图的基本要素是____ 、____、图例和注记。
看拼音,写词语。
wú ɡū
jīnɡ kǒnɡ
hé shàn
jū shù
fǔ yǎnɡ
____
zhì rén zhì yì
hé ǎi
pú sà
cán rěn