3£®ÒÑÖª£¬Ò»´Îº¯Êýy=kx+b£¨k£¬bΪ³£Êý£¬ÇÒk¡Ù0£©µÄͼÏóÈçͼ1±íʾ£®
£¨1£©·½³Ìkx+b=0½âΪx=2£¬²»µÈʽkx+b£¼4µÄ½â¼¯Îªx£¾0£®
£¨2£©Õý±ÈÀýº¯Êýy=mx£¨mΪ³£Êý£¬ÇÒm¡Ù0£©ÓëÒ»´Îº¯Êýy=kx+bÏཻÓÚµãP£¨Í¼2£©£¬Ôò²»µÈʽ×é$\left\{\begin{array}{l}{mx£¾0}\\{kx+b£¾0}\end{array}\right.$µÄ½â¼¯Îª0£¼x£¼2£®
£¨3£©ÔÚ£¨2£©µÄÌõ¼þÏ£¬±È½ÏmxÓëkx+bµÄ´óС£¨Ö±½Óд³ö½á¹û£©£»
£¨4£©ÒÑÖªy=a1x+b1ºÍy=a2x+b2µÄͼÏóÈçͼ3Ëùʾ£¬¸ù¾ÝͼÏóÌî¿Õ£º$\left\{\begin{array}{l}{{a}_{1}x+{b}_{1}£¾0}\\{{a}_{2}x+{b}_{2}£¾0}\end{array}\right.$µÄ½â¼¯ÊÇ-3£¼x£¼1£»$\left\{\begin{array}{l}{{a}_{1}x+{b}_{1}£¼0}\\{{a}_{2}x+{b}_{2}£¾0}\end{array}\right.$µÄ½â¼¯ÊÇx£¼-3£»$\left\{\begin{array}{l}{{a}_{1}x+{b}_{1}£¾0}\\{{a}_{2}x+{b}_{2}£¼0}\end{array}\right.$µÄ½â¼¯ÊÇx£¾1£®

·ÖÎö £¨1£©ÀûÓú¯ÊýͼÏó£¬Ö±ÏßÓëxÖáµÄ½»µãµÄºá×ø±ê¼´Îª·½³Ìkx+b=0µÄ½â£»º¯Êýy=kx+bµÄͼÏóÔÚyÖáÓҲಿ·ÖµÄº¯ÊýÖµ¶¼Ð¡ÓÚ4£¬´Ó¶øµÃµ½kx+b£¼4µÄ½â¼¯£»
£¨2£©´Óº¯ÊýͼÏóÖÐÕÒ³öº¯Êýy=mxºÍy=kx+b¶¼ÔÚxÖáÉÏ·½Ëù¶ÔÓ¦µÄ×Ô±äÁ¿µÄ·¶Î§¼´¿É£»
£¨3£©·Öx£¼1¡¢x=1ºÍx£¾1¿´º¯ÊýͼÏóµÄ¸ßµÍ£¬È»ºó±È½ÏÁ½º¯ÊýÖµµÄ´óС£»¡¢
£¨4£©Ó루2£©µÄ½âÌâ·½·¨Ò»Ñù£®

½â´ð ½â£º£¨1£©¹Û²ìº¯ÊýͼÏó¿ÉµÃx=2ʱ£¬y=kx+b=0£»µ±x£¾0ʱ£¬y£¼4£¬¼´kx+b£¼4£»
£¨2£©¹Û²ìº¯ÊýͼÏ󣬵±0£¼x£¼2ʱ£¬º¯Êýy=mxºÍy=kx+b¶¼ÔÚxÖáÉÏ·½£¬Ôò²»µÈʽ×é$\left\{\begin{array}{l}{mx£¾0}\\{kx+b£¾0}\end{array}\right.$µÄ½â¼¯Îª0£¼x£¼2£»
£¨3£©¹Û²ìº¯ÊýͼÏ󣬵±x£¼1ʱ£¬mx£¼kx+b£»µ±x=1ʱ£¬mx=kx+b£»µ±x£¾1ʱ£¬mx£¾kx+b£»
£¨4£©¹Û²ìº¯ÊýͼÏ󣬵±-3£¼x£¼1ʱ£¬y=a1x+b1ºÍy=a2x+b2µÄͼÏó¶¼ÔÚxÖáÉÏ·½£¬ËùÒÔ$\left\{\begin{array}{l}{{a}_{1}x+{b}_{1}£¾0}\\{{a}_{2}x+{b}_{2}£¾0}\end{array}\right.$µÄ½â¼¯-3£¼x£¼1£»µ±x£¼-3ʱ£¬y=a1x+b1µÄͼÏóÔÚxÖáÏ·½£¬y=a2x+b2µÄͼÏó¶¼ÔÚxÖáÉÏ·½£¬ËùÒÔ$\left\{\begin{array}{l}{{a}_{1}x+{b}_{1}£¼0}\\{{a}_{2}x+{b}_{2}£¾0}\end{array}\right.$µÄ½â¼¯ÊÇx£¼-3£»µ±x£¾1ʱ£¬y=a1x+b1µÄͼÏóÔÚxÖáÉÏ·½£¬y=a2x+b2µÄͼÏó¶¼ÔÚxÖáÏ·½£¬ËùÒÔ$\left\{\begin{array}{l}{{a}_{1}x+{b}_{1}£¾0}\\{{a}_{2}x+{b}_{2}£¼0}\end{array}\right.$µÄ½â¼¯Îªx£¾1£¬£®
¹Ê´ð°¸Îªx=2£¬x£¾0£»0£¼x£¼2£»-3£¼x£¼1£¬x£¼-3£¬x£¾1£®

µãÆÀ ±¾Ì⿼²éÁËÒ»´Îº¯ÊýÓëÒ»ÔªÒ»´Î²»µÈʽ£ºÒ»´Îº¯ÊýÓëÒ»ÔªÒ»´Î²»µÈʽµÄ¹Øϵ´Óº¯ÊýµÄ½Ç¶È¿´£¬¾ÍÊÇÑ°Çóʹһ´Îº¯Êýy=kx+bµÄÖµ´óÓÚ£¨»òСÓÚ£©0µÄ×Ô±äÁ¿xµÄÈ¡Öµ·¶Î§£»´Óº¯ÊýͼÏóµÄ½Ç¶È¿´£¬¾ÍÊÇÈ·¶¨Ö±Ïßy=kx+bÔÚxÖáÉÏ£¨»òÏ£©·½²¿·ÖËùÓеĵãµÄºá×ø±êËù¹¹³ÉµÄ¼¯ºÏ£®Ò²¿¼²éÁËÒ»´Îº¯ÊýÓëÒ»ÔªÒ»´Î·½³Ì£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

8£®Èôm+n=7£¬mn=12£¬Ôòm2+n2µÄÖµÊÇ£¨¡¡¡¡£©
A£®11B£®13C£®25D£®31

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º½â´ðÌâ

9£®ÈçͼËùʾ£¬ÒÑÖª¡÷ABCÓë¡÷A¡äB¡äC¡ä£¬AD¡ÍBCÓÚD£¬A¡äD¡ä¡ÍB¡äC¡äÓÚD¡ä£¬ÇÒ$\frac{AB}{A¡äB¡ä}$=$\frac{AC}{A¡äC¡ä}$£¬¡ÏB=¡ÏB¡ä£¬ÊÔ˵Ã÷¡÷ABC¡×¡÷A¡äB¡äC¡ä£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º½â´ðÌâ

6£®¼ÆË㣺
£¨1£©7¡Â4¡Á£¨1+2£©2-5¡Á6
£¨2£©3¡Á£¨-2£©2-10¡Â£¨-5£©+11£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º½â´ðÌâ

13£®ÔÚ800Ã×Ô²ÐÎÅܵÀÉÏÓÐÁ½ÈËÁ·Öг¤ÅÜ£¬¼×ÿ·ÖÖÓÅÜ320Ã×£¬ÒÒÿ·ÖÖÓÅÜ280Ã×£®
£¨1£©Á½ÈËͬʱͬµØ·´ÏòÆðÅÜ£¬¼¸·ÖÖÓºóµÚÒ»´ÎÏàÓö£¿
£¨2£©Á½ÈËͬʱͬµØͬÏòÆðÅÜ£¬¼¸·ÖÖÓºóµÚÒ»´ÎÏàÓö£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º½â´ðÌâ

8£®Èçͼ£¬ÒÑÖªµãC×ø±êΪ£¨6£¬0£©£¬½«Ï߶ÎOCÏòÓÒƽÒÆ3¸öµ¥Î»£¬ÔÙÏòÉÏƽÒÆ4¸öµ¥Î»µÃµ½Ï߶ÎAB£¬Á¬½ÓOA£¬´ËʱOA=5£®
£¨1£©ÇóËıßÐÎOABCµÄÃæ»ý£»
£¨2£©¹ýµãA×÷AD¡ÍxÖᣬ´¹×ãΪµãD£¬PÊÇ´ÓO³ö·¢ÒÔÿÃë1¸öµ¥Î»µÄËÙ¶ÈÏòxÖáÕý·½ÏòÔ˶¯£¬QÊÇÖ±ÏßBCÉÏÒ»µã£¬µ±¡÷PCQÓë¡÷OADÈ«µÈʱ£¬ÇótµÄÖµ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÌî¿ÕÌâ

15£®Èô¡Ï1+¡Ï2=180¡ã£¬¡Ï3+¡Ï2=180¡ã£¬Ôò¡Ï1Óë¡Ï3µÄÊýÁ¿¹ØϵÊÇ¡Ï1=¡Ï3£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º½â´ðÌâ

12£®ÒÑÖª|a+1|Ó루b-2£©2»¥ÎªÏà·´Êý£¬Çó$\frac{1}{£¨a+2£©•b}$+$\frac{1}{£¨a+3£©£¨b+1£©}$¡­$\frac{1}{£¨a+2012£©£¨b+2010£©}$£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÌî¿ÕÌâ

13£®Ä³Ð£¾ÅÄ꼶ÓÐÁ½¸ö°à£¬Öп¼ÌåÓý³É¼¨ÓÅÐãÕß¹²ÓÐ45ÈË£¬È«Ä꼶ÓÅÐãÂÊΪ45%£¬ÆäÖУ¨1£©°àµÄÓÅÐãÂÊΪ42%£¬£¨2£©°àµÄÓÅÐãÂÊΪ48%£®ÈôÉèÁ½°ëµÄÈËÊý·Ö±ðΪxÈ˺ÍyÈË£¬Ôò¿ÉµÃ·½³Ì×é$\left\{\begin{array}{l}{£¨x+y£©¡Á45%=45}\\{42%x+48%y=45}\end{array}\right.$£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸