¡¾´ð°¸¡¿
·ÖÎö£º¢ñϵͳÎó²îÊÇÓÉʵÑéÔÀí¡¢ÊµÑéÉè¼ÆÔì³ÉµÄ£¬·ÖÎö¸÷ʵÑéÎó²îÀ´Ô´£¬È»ºó´ðÌ⣮
¢ò̽¾¿Å£¶ÙµÚ¶¨ÂÉʵÑ飬Ê×ÏÈӦƽºâĦ²ÁÁ¦£¬Ê¹ÓëС³µÏàÁ¬µÄϸÏ߯½ÐÐÓÚľ°åÆ½Ãæ£¬ÒÔ¼õСʵÑéÎó²î£»
ÓÉÔȱäËÙÔ˶¯µÄËٶȹ«Ê½¿ÉÒÔÍÆµ¼³ö¼ÓËÙ¶ÈÓëÎ»ÒÆµÄ¹ØÏµ£¬È»ºó´ðÌ⣮
¢ó¡¢£¨1£©Ã»Óеçѹ±í£¬¿ÉÒ԰Ѷ¨Öµµç×èÓë´ý²âµç×è²¢Áª£¬ÓÉÅ·Ä·¶¨ÂÉÇó³öµç×èÁ½¶Ëµçѹ£¬
ÓõçÁ÷±í²â³öͨ¹ýµç×èµÄµçÁ÷£¬È»ºóÓÉÅ·Ä·¶¨ÂÉÇó³ö´ý²âµç×è×èÖµ£»ÎªÁË׼ȷ²â³öµç×è×èÖµ£¬
Ó¦½øÐжà´Î²âÁ¿Ç󯽾ùÖµ£¬¿ÉÒÔ²ÉÓû¬¶¯±ä×èÆ÷µÄ·Öѹ½Ó·¨£¬¾Ý´Ë×÷³öʵÑéµç·ͼ£»
£¨2£©¸ù¾ÝʵÑéËù²âÁ¿µÄÁ¿£¬Ó¦Óò¢ÁªµçÂ·ÌØµã¡¢Å·Ä·¶¨ÂÉÇó³ö´ý²âµç×è×èÖµ£®
½â´ð£º
½â£º¢ñ£®A¡¢ÔÚ̽¾¿aÓëM¡¢FÖ®¼ä¹ØÏµµÄʵÑéÖУ¬ÓÃɳºÍɳͰµÄÖØÁ¦´óС´úÌæÉþ×ÓµÄÀÁ¦£¬
Éþ×Ó¶ÔС³µµÄÀÁ¦Ð¡ÓÚɳºÍɳͰµÄÖØÁ¦£¬´æÔÚÎó²î£¬ÕâÊÇϵͳÎó²î£¬A²»·ûºÏÌâÒ⣻
B¡¢Ôڲⶨ½ðÊôË¿µÄµç×èÂÊʵÑéÖеçÁ÷±íÍâ½Ó·¨²âÁ¿½ðÊôË¿µÄµç×裬ÓÉÓÚµçѹ±íµÄ·ÖÁ÷×÷Ó㬵çÁ÷µÄ²âÁ¿Öµ´óÓÚÕæÊµÖµ£¬ÊµÑé´æÔÚÎó²î£¬ÕâÊÇϵͳÎó²î£¬B²»·ûºÏÌâÒ⣬
C¡¢ÔÚ̽¾¿Ð¡³µËÙ¶ÈËæÊ±¼ä±ä»¯¹æÂɵÄʵÑéÖÐÓÃÖð²î·¨²âÁ¿Ð¡³µÔ˶¯µÄ¼ÓËÙ¶È£¬
ʵÑéÎó²îÊÇÓÉÓÚ²âÁ¿Î»ÒƶøÒýÆðµÄ£¬ÊÇżȻÎó²î£¬C²»·ûºÏÌâÒ⣻
D¡¢ÔÚÑéÖ¤»úеÄÜÊØºãʵÑéÖУ¬ÖØ´¸¼õÉÙµÄÖØÁ¦ÊÆÄܵÈÓÚÖØ´¸Ôö¼ÓµÄ¶¯ÄÜ£¬
ÓÉÓÚ´æÔÚ×èÁ¦£¬ÖØ´¸¼õÉÙµÄÖØÁ¦ÊÆÄÜ´óÓÚÖØ´¸Ôö¼ÓµÄ¶¯ÄÜ£¬
Îó²îÊÇÓÉʵÑéÉè¼ÆÒýÆðµÄϵͳÎó²î£¬D²»·ûºÏÌâÒ⣻¹ÊCÕýÈ·£®
¢ò£®£¨1£©Ð¡³µÓɾ²Ö¹ÊÍ·Å£¬×ö³õËÙ¶ÈΪÁãµÄÔȼÓËÙÔ˶¯£¬ÓÉλÓÚ¹«Ê½¿ÉÖª£¬
С³µµÄÎ»ÒÆx=

at
2£»Á½Ð¡³µÍ¬Ê±ÊÍ·Å¡¢Í¬Ê±Í£Ö¹Ô˶¯£¬ËüÃǵÄÔ˶¯Ê±¼ätÏàµÈ£¬
ÔòÁ½Ð¡³µµÄÎ»ÒÆÖ®±È

=

=

£¬ÓÉ´Ë¿ÉÖª£¬Ð¡³µµÄ¼ÓËÙ¶ÈÖ®±ÈµÈÓÚС³µµÄÎ»ÒÆÖ®±È£¬
ʵÑéÖпÉÒÔ²â³öС³µÔÚÏàµÈʱ¼äÄÚµÄÎ»ÒÆ£¬ÔòС³µµÄ¼ÓËÙ¶ÈÖ®±ÈµÈÓÚÎ»ÒÆÖ®±È£®
£¨2£©ÎªÁËʹÉþ×ÓµÄÀÁ¦³ÉΪС³µÊܵ½µÄºÏÍâÁ¦£¬ÊµÑéʱӦ£º¢ÙƽºâĦ²ÁÁ¦£¬
¢Úµ÷½Ú»¬Âֵĸ߶ÈʹǣÒýС³µµÄÉþ×ÓÓëľ°åÆ½ÃæÆ½ÐУ®
¢ó£®£¨1£©ÓÉËù¸øµÄʵÑéÆ÷²Ä¿ÉÖª£¬Ö»ÓÐÁ½¸öµçѹ±í£¬Ã»Óеçѹ±í£¬
¿ÉÒ԰Ѷ¨Öµµç×èÓë´ý²âµç×è²¢Áª£¬ÓÃÁ¿³Ì´óµÄµçÁ÷±í²â²âËüÃǵIJ¢ÁªµçÁ÷£¬
Á¿³ÌСµÄµçÁ÷±í²âͨ¹ý¶¨Öµµç×èµÄµçÁ÷£¬ÓÉÅ·Ä·¶¨ÂÉÇó³ö²¢Áªµçѹ£¬
Óɲ¢ÁªµçÂ·ÌØµãÇó³öͨ¹ý´ý²âµç×èµÄµçÁ÷£¬È»ºóÓÉÅ·Ä·¶¨ÂÉÇó³ö´ý²âµç×è×èÖµ£¬
ΪÁ˼õСʵÑéÎó²î£¬ÊµÑéʱӦ½øÐжà´Î²âÁ¿Ç󯽾ùÖµ£¬»¬¶¯±ä×èÆ÷²ÉÓ÷Öѹ½Ó·¨£¬
ʵÑéµç·ͼÈçͼËùʾ£®
£¨2£©±ÕºÏ¿ª¹Ø£¬Òƶ¯»¬Æ¬£¬²â³öµçÁ÷±íA
1µÄʾÊýÊÇI
1£¬µçÁ÷±íA
2µÄʾÊýÊÇI
2£¬
µçÁ÷±íA
1Ó붨ֵµç×èR
´®Áª£¬²â¶¨Öµµç×èµçÁ÷£¬´ý²âµç×èµçѹU
X=U
+U
A1=I
1R
+I
1r
1£¬
µçÁ÷±íA
2²âÁ½µç×èµÄ²¢ÁªµçÁ÷£¬Í¨¹ý´ý²âµç×èµÄµçÁ÷I
X=I
2-I
1£¬
´ý²âµç×è×èÖµR
X=

=R
X=

£®
¹Ê´ð°¸Îª£º¢ñ¡¢C£»¢ò¡¢£¨1£©²â³öС³µÔÚÏàµÈʱ¼äÄÚµÄÎ»ÒÆ£¬ÔòС³µµÄ¼ÓËÙ¶ÈÖ®±ÈµÈÓÚÎ»ÒÆÖ®±È£»
£¨2£©¢ÙƽºâĦ²ÁÁ¦£¬¢Úµ÷½Ú»¬Âֵĸ߶ÈʹǣÒýС³µµÄÉþ×ÓÓëľ°åÆ½ÃæÆ½ÐУ®
¢ó¡¢£¨1£©µç·ͼÈçͼËùʾ£»£¨2£©

£®
µãÆÀ£º±¾ÌâÊÇÒ»µÀ×ÛºÏʵÑéÌ⣬¿¼²éÁËʵÑéÎó²î·ÖÎö¡¢Ì½¾¿Å£¶ÙµÚ¶þ¶¨ÂÉʵÑéµÄÔÀíÓëʵÑé×¢ÒâÊÂÏî¡¢Éè¼Æ²âµç×èµÄʵÑéµç·ͼ£¬Çóµç×è±í´ïʽµÈÎÊÌ⣬ÊÇʵÑéµÄ³£¿¼ÎÊÌ⣬µ«ÄѶȲ»ÊǺܴó£¬ÊìÁ·ÕÆÎÕ»ù´¡ÖªÊ¶¼´¿ÉÕýÈ·½âÌ⣮