Question

18£®´ÓÌØÊâµ½Ò»°ã£¬ÊÇÎÒÃÇѧϰºÍÈÏÖªÐÂÊÂÎï¾­³£ÔËÓõķ½·¨£®
£¨1£©±È½Ï´óС£º
$\frac{2}{3}$£¼$\frac{2+1}{3+1}$£¬$\frac{2}{3}$£¼$\frac{2+2}{3+2}$£¬$\frac{2}{3}$£¼$\frac{2+3}{3+3}$£¬$\frac{2}{3}$£¼$\frac{2+4}{3+4}$
£¨ºáÏßÉÏÌî¡°£¾¡±£¬¡°£¼¡±»ò¡°=¡±£©
£¨2£©ÇëÄã¸ù¾ÝÉÏÃæµÄ²ÄÁÏ£¬ÀûÓÃ×Öĸa¡¢b¡¢c £¨a£¾b£¾0£¬c£¾0£©¹éÄɳöÒ»¸öÊýѧ¹Øϵʽ£»
£¨3£©ÔËÓÃËùѧ֪ʶ£¬Ö¤Ã÷Äã¹éÄɵÄÊýѧ¹Øϵʽ£®

Answer 1

·ÖÎö £¨1£©¸ù¾ÝÌâÄ¿ÖеÄʽ×Ó¿ÉÒÔ¼ÆËã³ö½á¹û£¬±È½ÏËüÃǵĴóС£»
£¨2£©¸ù¾Ý£¨1£©ÖеĽá¹û¿ÉÒԵõ½ÏàÓ¦µÄ½áÂÛ£»
£¨3£©¸ù¾Ý²»µÈʽµÄÐÔÖÊ¿ÉÒÔÖ¤Ã÷½áÂÛ£®

½â´ð ½â£º£¨1£©¡ß$\frac{2+1}{3+1}=\frac{3}{4}£¾\frac{2}{3}$£¬$\frac{2+2}{3+2}=\frac{4}{5}£¾\frac{2}{3}$£¬$\frac{2+3}{3+3}=\frac{5}{6}$£¬$\frac{2+4}{3+4}=\frac{6}{7}£¾\frac{2}{3}$£¬
¹Ê´ð°¸Îª£º£¼£¬£¼£¬£¼£¬£¼£»
£¨2£©$\frac{b}{a}£¼\frac{b+c}{a+c}$£¨a£¾b£¾0£¬c£¾0£©£»
£¨3£©Ö¤Ã÷£º¡ßa£¾b£¾0£¬c£¾0£¬
¡àac£¾bc£¬
¡àac+ab£¾bc+ab£¬
¡àa£¨b+c£©£¾b£¨a+c£©£¬
¡à$\frac{b+c}{a+c}£¾\frac{b}{a}$£¬
¼´$\frac{b}{a}£¼\frac{b+c}{a+c}$£®

µãÆÀ ±¾Ì⿼²éÓÐÀíÊý´óСµÄ±È½Ï£¬½âÌâµÄ¹Ø¼üÊÇÃ÷È·ÌâÒ⣬ÕÒ³öËùÇóÎÊÌâÐèÒªµÄÌõ¼þ£®