“微信扫一扫”进入题库练习及模拟考试
现场学习:我们知道
{x(x > 0)} \\
{0(x = 0)} \\
{ - x(x < 0)}
\end{array}} \right.\)
解决问题:已知
参考答案:分四种情况:
①当\(a > 0\),\(b > 0\)时,\(\frac{a}{{|a|}} + \frac{b}{{|b|}} = 1 + 1 = 2\);
②当\(a < 0\),\(b < 0\)时,\(\frac{a}{{|a|}} + \frac{b}{{|b|}} = - 1 - 1 = - 2\);
③当\(a > 0\),\(b < 0\)时,\(\frac{a}{{|a|}} + \frac{b}{{|b|}} = 1 - 1 = 0\);
④当\(a < 0\),\(b > 0\)时,\(\frac{a}{{|a|}} + \frac{b}{{|b|}} = - 1 + 1 = 0\);
综上所述:\(\frac{a}{{|a|}} + \frac{b}{{|b|}}\)的值为2或\( - 2\)或0.