ƪһ£ºÆßÄ꼶ÉϲáÊýѧ֪ʶµã´óÈ«ºÍ¸´Ï°Ìá¸Ù
1.ÓÐÀíÊý£º
(1)·²ÄÜд³Éq
p¶¼ÊÇÓÐÀíÊý£¬ÕûÊýºÍ·ÖÊýͳ³ÆÓÐÀíÊý. (p,qΪÕûÊýÇÒp?0)ÐÎʽµÄÊý£¬
?-a²»Ò»¶¨ÊǸºÊý£¬??ÕýÕûÊý?ÕýÕûÊý0¼´²»ÊÇÕýÊý£¬Ò²²»ÊǸºÊý£»a²»Ò»¶¨ÊÇÕýÊý£»?²»ÊÇÓÐÀíÊý£» ÕýÓÐÀíÊý????ÕûÊýÁãÕý·ÖÊý????(2)ÓÐÀíÊýµÄ·ÖÀà:¢Ù ÓÐÀíÊý?Áã ¢Ú ÓÐÀíÊý???¸ºÕûÊý
???¸ºÕûÊý?Õý·ÖÊý¸ºÓÐÀíÊý·ÖÊý????¸º·ÖÊý(3)×¢Ò⣺ÓÐÀíÊýÖУ¬1¡¢0¡¢-1ÊÇÈý¸öÌØÊâµÄÊý£¬ËüÃÇÓÐ×Ô¼ºµÄÌØÐÔ£»ÕâÈý¸öÊý?¸º·ÖÊý???
°ÑÊýÖáÉϵÄÊý·Ö³ÉËĸöÇøÓò£¬ÕâËĸöÇøÓòµÄÊýÒ²ÓÐ×Ô¼ºµÄÌØÐÔ£»
(4)×ÔÈ»Êý? 0ºÍÕýÕûÊý£»a£¾0 ? aÊÇÕýÊý£» a£¼0 ? aÊǸºÊý£»
a¡Ý0 ? aÊÇÕýÊý»ò0 ? aÊǷǸºÊý£»a¡Ü 0 ? aÊǸºÊý»ò0 ? aÊÇ·ÇÕýÊý.
2£®ÊýÖ᣺ÊýÖáÊǹ涨ÁËԵ㡢Õý·½Ïò¡¢µ¥Î»³¤¶ÈµÄÒ»ÌõÖ±Ïß.
3£®Ïà·´Êý£º
(1)Ö»ÓзûºÅ²»Í¬µÄÁ½¸öÊý£¬ÎÒÃÇ˵ÆäÖÐÒ»¸öÊÇÁíÒ»¸öµÄÏà·´Êý£»
0µÄÏà·´Êý»¹ÊÇ0£»
(2) a-b+cµÄÏà·´ÊýÊÇ-a+b-c£»a-bµÄÏà·´ÊýÊÇb-a£»a+bµÄÏà·´ÊýÊÇ-a-b£»
(3)Ïà·´ÊýµÄºÍΪ0 ? a+b=0 ? a¡¢b»¥ÎªÏà·´Êý.
(4)Ïà·´ÊýµÄÉÌΪ-1.
£¨5£©Ïà·´ÊýµÄ¾ø¶ÔÖµÏàµÈ
4.¾ø¶ÔÖµ£º
(1)ÕýÊýµÄ¾ø¶ÔÖµµÈÓÚËü±¾Éí£¬0µÄ¾ø¶ÔÖµÊÇ0£¬¸ºÊýµÄ¾ø¶ÔÖµµÈÓÚËüµÄÏà·´Êý£» ×¢Ò⣺¾ø¶ÔÖµµÄÒâÒåÊÇÊýÖáÉϱíʾijÊýµÄµãÀ뿪ԵãµÄ¾àÀ룻
?a(a?0)?a(a?0)a?(2)¾ø¶ÔÖµ¿É±íʾΪ£ºa??»ò£» ??0(a?0)??a(a?0)???a(a?0)aa(3) ?1?a?0£» ??1?a?0£» aa
(4) |a|ÊÇÖØÒªµÄ·Ç¸ºÊý£¬¼´|a|¡Ý0£»
5.ÓÐÀíÊý±È´óС£º
£¨1£©ÕýÊýÓÀÔ¶±È0´ó£¬¸ºÊýÓÀÔ¶±È0С£»
£¨2£©ÕýÊý´óÓÚÒ»ÇиºÊý£»
£¨3£©Á½¸ö¸ºÊý±È½Ï£¬¾ø¶ÔÖµ´óµÄ·´¶øС£»
£¨4£©ÊýÖáÉϵÄÁ½¸öÊý£¬ÓұߵÄÊý×ܱÈ×ó±ßµÄÊý´ó£»
£¨5£©-1£¬-2£¬+1£¬+4£¬-0.5£¬ÒÔÉÏÊý¾Ý±íʾÓë±ê×¼ÖÊÁ¿µÄ²î£¬¾ø¶ÔֵԽС£¬Ô½
½Ó½ü±ê×¼¡£
6.µ¹Êý£º
³Ë»ýΪ1µÄÁ½¸öÊý»¥Îªµ¹Êý£»
×¢Ò⣺0ûÓе¹Êý£»Èôab=1? a¡¢b»¥Îªµ¹Êý£»Èôab=-1? a¡¢b»¥Îª¸ºµ¹Êý. µÈÓÚ±¾ÉíµÄÊý»ã×Ü£º
Ïà·´ÊýµÈÓÚ±¾ÉíµÄÊý£º0
µ¹ÊýµÈÓÚ±¾ÉíµÄÊý£º1£¬-1
¾ø¶ÔÖµµÈÓÚ±¾ÉíµÄÊý£ºÕýÊýºÍ0
ƽ·½µÈÓÚ±¾ÉíµÄÊý£º0,1
Á¢·½µÈÓÚ±¾ÉíµÄÊý£º0,1£¬-1.
7. ÓÐÀíÊý¼Ó·¨·¨Ôò£º
£¨1£©Í¬ºÅÁ½ÊýÏà¼Ó£¬È¡ÏàͬµÄ·ûºÅ£¬²¢°Ñ¾ø¶ÔÖµÏà¼Ó£»
£¨2£©ÒìºÅÁ½ÊýÏà¼Ó£¬È¡¾ø¶ÔÖµ½Ï´ó¼ÓÊýµÄ·ûºÅ£¬²¢ÓýϴóµÄ¾ø¶ÔÖµ¼õÈ¥½ÏСµÄ¾ø¶ÔÖµ£»
£¨3£©Ò»¸öÊýÓë0Ïà¼Ó£¬ÈÔµÃÕâ¸öÊý.
8£®ÓÐÀíÊý¼Ó·¨µÄÔËËãÂÉ£º
£¨1£©¼Ó·¨µÄ½»»»ÂÉ£ºa+b=b+a £»£¨2£©¼Ó·¨µÄ½áºÏÂÉ£º£¨a+b£©+c=a+£¨b+c£©.
9£®ÓÐÀíÊý¼õ·¨·¨Ôò£º¼õÈ¥Ò»¸öÊý£¬µÈÓÚ¼ÓÉÏÕâ¸öÊýµÄÏà·´Êý£»¼´a-b=a+£¨-b£©. 10 ÓÐÀíÊý³Ë·¨·¨Ôò£º
£¨1£©Á½ÊýÏà³Ë£¬Í¬ºÅµÃÕý£¬ÒìºÅµÃ¸º£¬²¢°Ñ¾ø¶ÔÖµÏà³Ë£»
£¨2£©ÈκÎÊýͬÁãÏà³Ë¶¼µÃÁ㣻
£¨3£©¼¸¸öÒòʽ¶¼²»ÎªÁ㣬»ýµÄ·ûºÅÓɸºÒòʽµÄ¸öÊý¾ö¶¨.ÆæÊý¸ö¸ºÊýΪ¸º£¬Å¼
Êý¸ö¸ºÊýΪÕý¡£
11 ÓÐÀíÊý³Ë·¨µÄÔËËãÂÉ£º
£¨1£©³Ë·¨µÄ½»»»ÂÉ£ºab=ba£»£¨2£©³Ë·¨µÄ½áºÏÂÉ£º£¨ab£©c=a£¨bc£©£»
£¨3£©³Ë·¨µÄ·ÖÅäÂÉ£ºa£¨b+c£©=ab+ac .£¨¼ò±ãÔËË㣩
12£®ÓÐÀíÊý³ý·¨·¨Ôò£º³ýÒÔÒ»¸öÊýµÈÓÚ³ËÒÔÕâ¸öÊýµÄµ¹Êý£» Áã²»ÄÜ×ö³ýÊý£¬¼´ÎÞÒâÒå.
13£®ÓÐÀíÊý³Ë·½µÄ·¨Ôò£º
£¨1£©ÕýÊýµÄÈκδÎÃݶ¼ÊÇÕýÊý£»
£¨2£©¸ºÊýµÄÆæ´ÎÃÝÊǸºÊý£»¸ºÊýµÄż´ÎÃÝÊÇÕýÊý£»
14£®³Ë·½µÄ¶¨Ò壺
£¨1£©ÇóÏàͬÒòʽ»ýµÄÔËË㣬½Ð×ö³Ë·½£»
£¨2£©³Ë·½ÖУ¬ÏàͬµÄÒòʽ½Ð×öµ×Êý£¬ÏàͬÒòʽµÄ¸öÊý½Ð×öÖ¸Êý£¬³Ë·½µÄ½á¹û½Ð
×öÃÝ£»
22£¨3£©a2ÊÇÖØÒªµÄ·Ç¸ºÊý£¬¼´a¡Ý0£»Èôa+|b|=0 ? a=0,b=0£» 20.1?0.01?a0?2?1?1£¨4£©¾Ý¹æÂÉ 2??µ×ÊýµÄСÊýµãÒƶ¯Ò»Î»£¬Æ½·½ÊýµÄСÊýµãÒƶ¯¶þλ. 10?100????°ÑÒ»¸ö´óÓÚ??????????15£®¿Æѧ¼ÇÊý·¨£º10µÄÊý¼Ç³Éa¡Á10nµÄÐÎʽ£¬ÆäÖÐaÊÇÕûÊýÊýλֻ
ÓÐһλµÄÊý£¬ÕâÖÖ¼ÇÊý·¨½Ð¿Æѧ¼ÇÊý·¨.
16.½üËÆÊýµÄ¾«È·Î»£ºÒ»¸ö½üËÆÊý£¬ËÄÉáÎåÈëµ½ÄÇһ룬¾Í˵Õâ¸ö½üËÆÊýµÄ¾«È·µ½ÄÇһλ.
17.ÓÐЧÊý×Ö£º´Ó×ó±ßµÚÒ»¸ö²»ÎªÁãµÄÊý×ÖÆ𣬵½¾«È·µÄλÊýÖ¹£¬ËùÓÐÊý×Ö£¬¶¼½ÐÕâ¸ö½üËÆÊýµÄÓÐЧÊý×Ö.
18.»ìºÏÔËËã·¨Ôò£ºÏȳ˷½£¬ºó³Ë³ý£¬×îºó¼Ó¼õ£»
19.ÌØÊâÖµ·¨£ºÊÇÓ÷ûºÏÌâÄ¿ÒªÇóµÄÊý´úÈ룬²¢ÑéÖ¤ÌâÉè³ÉÁ¢¶ø½øÐвÂÏëµÄÒ»ÖÖ·½·¨,µ«²»ÄÜÓÃÓÚÖ¤Ã÷.³£ÓÃÓÚÌî¿Õ£¬Ñ¡Ôñ¡£
ÕûʽµÄ¼Ó¼õ
1£®µ¥Ïîʽ£º±íʾÊý×Ö»ò×Öĸ³Ë»ýµÄʽ×Ó£¬µ¥¶ÀµÄÒ»¸öÊý×Ö»ò×ÖĸҲ½Ðµ¥Ïîʽ¡£
2£®µ¥ÏîʽµÄϵÊýÓë´ÎÊý£ºµ¥ÏîʽÖеÄÊý×ÖÒòÊý£¬³Æµ¥ÏîʽµÄϵÊý£»
µ¥ÏîʽÖÐËùÓÐ×ÖĸָÊýµÄºÍ£¬½Ðµ¥ÏîʽµÄ´ÎÊý.
3£®¶àÏîʽ£º¼¸¸öµ¥ÏîʽµÄºÍ½Ð¶àÏîʽ.
4£®¶àÏîʽµÄÏîÊýÓë´ÎÊý£º¶àÏîʽÖÐËùº¬µ¥ÏîʽµÄ¸öÊý¾ÍÊǶàÏîʽµÄÏîÊý£¬Ã¿¸öµ¥Ïîʽ½Ð¶àÏîʽµÄÏ¶àÏîʽÀ´ÎÊý×î¸ßÏîµÄ´ÎÊý½Ð¶àÏîʽµÄ´ÎÊý£»
?µ¥Ïîʽ5£®Õûʽ? . ¶àÏîʽ?6£®Í¬ÀàÏËùº¬×ÖĸÏàͬ£¬²¢ÇÒÏàͬ×ÖĸµÄÖ¸ÊýÒ²ÏàͬµÄµ¥ÏîʽÊÇͬÀàÏî.
7£®ºÏ²¢Í¬ÀàÏî·¨Ôò£ºÏµÊýÏà¼Ó£¬×ÖĸÓë×ÖĸµÄÖ¸Êý²»±ä.
8£®È¥£¨Ìí£©À¨ºÅ·¨Ôò£º
È¥£¨Ìí£©À¨ºÅʱ£¬ÈôÀ¨ºÅÇ°±ßÊÇ¡°+¡±ºÅ£¬À¨ºÅÀïµÄ¸÷Ï²»±äºÅ£»ÈôÀ¨ºÅÇ°±ßÊÇ¡°-¡±ºÅ£¬À¨ºÅÀïµÄ¸÷ÏҪ±äºÅ.
9£®ÕûʽµÄ¼Ó¼õ£ºÒ»ÕÒ£º£¨»®Ïߣ©£»¶þ¡°+¡±£¨Îñ±ØÓÃ+ºÅ¿ªÊ¼ºÏ²¢£©ÈýºÏ£º£¨ºÏ²¢£©
10.¶àÏîʽµÄÉýÃݺͽµÃÝÅÅÁУº°ÑÒ»¸ö¶àÏîʽµÄ¸÷Ïij¸ö×ÖĸµÄÖ¸Êý´ÓСµ½´ó£¨»ò´Ó´óµ½Ð¡£©ÅÅÁÐÆðÀ´£¬½Ð×ö°´Õâ¸ö×ÖĸµÄÉýÃÝÅÅÁУ¨»ò½µÃÝÅÅÁУ©. Ò»ÔªÒ»´Î·½³Ì
1£®µÈʽ£ºÓá°=¡±ºÅÁ¬½Ó¶ø³ÉµÄʽ×ӽеÈʽ.
2£®µÈʽµÄÐÔÖÊ£º
µÈʽÐÔÖÊ1£ºµÈʽÁ½±ß¶¼¼ÓÉÏ£¨»ò¼õÈ¥£©Í¬Ò»¸öÊý»òͬһ¸öÕûʽ£¬ËùµÃ½á¹ûÈÔÊǵÈʽ£»
µÈʽÐÔÖÊ2£ºµÈʽÁ½±ß¶¼³ËÒÔ£¨»ò³ýÒÔ£©Í¬Ò»¸ö²»ÎªÁãµÄÊý£¬ËùµÃ½á¹ûÈÔÊÇ
µÈʽ.
3£®·½³Ì£ºº¬Î´ÖªÊýµÄµÈʽ£¬½Ð·½³Ì.
4£®·½³ÌµÄ½â£ºÊ¹µÈʽ×óÓÒÁ½±ßÏàµÈµÄδ֪ÊýµÄÖµ½Ð·½³ÌµÄ½â£»×¢Ò⣺¡°·½³ÌµÄ½â¾ÍÄÜ´úÈ롱£¡
5£®ÒÆÏ¸Ä±ä·ûºÅºó£¬°Ñ·½³ÌµÄÏî´ÓÒ»±ßÒƵ½ÁíÒ»±ß½ÐÒÆÏî.ÒÆÏîµÄÒÀ¾ÝÊǵÈʽÐÔÖÊ1.
6£®Ò»ÔªÒ»´Î·½³Ì£ºÖ»º¬ÓÐÒ»¸öδ֪Êý£¬²¢ÇÒδ֪ÊýµÄ´ÎÊýÊÇ1£¬²¢ÇÒº¬Î´ÖªÊýÏîµÄϵÊý²»ÊÇÁãµÄÕûʽ·½³ÌÊÇÒ»ÔªÒ»´Î·½³Ì.
7£®Ò»ÔªÒ»´Î·½³ÌµÄ±ê×¼ÐÎʽ£º ax+b=0£¨xÊÇδ֪Êý£¬a¡¢bÊÇÒÑÖªÊý£¬ÇÒa¡Ù0£©.
8£®Ò»ÔªÒ»´Î·½³Ì½â·¨µÄÒ»°ã²½Ö裺
»¯¼ò ·½³Ì--------·ÖÊý»ù±¾ÐÔÖÊ
È¥ ·Öĸ--------ͬ³Ë£¨²»Â©³Ë£©×î¼ò¹«·Öĸ
È¥ À¨ºÅ--------×¢Òâ·ûºÅ±ä»¯
ÒÆÏî--------±äºÅ£¨ÁôÏ¿¿Ç°£©
ºÏ²¢Í¬ÀàÏî--------ºÏ²¢ºó·ûºÅ
ϵÊý»¯Îª1--------³ýÇ°Ãæ
11£®Áз½³Ì½âÓ¦ÓÃÌâµÄ³£Óù«Ê½£º
£¨1£©ÐгÌÎÊÌ⣺¾àÀë=Ëٶȡ¨Ê±¼äËÙ¶È?¾àÀë ʱ¼ä?¾àÀ룻 ʱ¼äËÙ¶È
£¨2£©¹¤³ÌÎÊÌ⣺¹¤×÷Á¿=¹¤Ð§¡¨¹¤Ê±¹¤Ð§?¹¤×÷Á¿¹¤Ê±?¹¤×÷Á¿
¹¤Ê±¹¤Ð§£»
¹¤³ÌÎÊÌâ³£ÓõÈÁ¿¹Øϵ£ºÏÈ×öµÄ+ºó×öµÄ=Íê³ÉÁ¿
£¨3£©Ë³Ë®ÄæË®ÎÊÌ⣺
˳Á÷ËÙ¶È=¾²Ë®ËÙ¶È+Ë®Á÷Ëٶȣ¬ÄæÁ÷ËÙ¶È=¾²Ë®ËÙ¶È-Ë®Á÷Ëٶȣ»Ë®Á÷ËÙ¶È=£¨Ë³Ë®ËÙ¶È-ÄæË®Ëٶȣ©¡Â2
˳ˮÄæË®ÎÊÌâ³£ÓõÈÁ¿¹Øϵ£ºË³Ë®Â·³Ì=Äæˮ·³Ì
ƪ¶þ£º³õÒ»ÊýѧÉϲáÆÚÄ©¸´Ï°Ìá¸Ù
ÆßÄ꼶ÊýѧÉϲáÆÚÄ©¸´Ï°Ìá¸Ù
µÚÒ»Õ ÓÐÀíÊý
Ò»¡¢ÕýÊýºÍ¸ºÊý
1¡¢ ´óÓÚ0µÄÊý½Ð×öÕýÊý£¬ÔÚÕýÊýÇ°Ãæ¼ÓÒ»¸ö¡°¡ª¡±µÄÊý½Ð×ö¸ºÊý£¬0¼È²»ÊÇÕýÊý£¬Ò²²»ÊǸºÊý£»
2¡¢ ±íʾÏà·´ÒâÒåµÄÁ¿£º
Ó¯ÀûÓë¿÷Ë𣬴æÈëÓëÖ§³ö£¬Ôö¼ÓÓë¼õÉÙ£¬Ô˽øÓëÔ˳ö£¬ÉÏÉýÓëϽµµÈ
3¡¢ Õý¡¢¸ºÊýËù±íʾµÄʵ¼ÊÒâÒ壺
ÀýÌ⣺±±¾©¶¬¼¾ÀïijÌìµÄζÈΪ¡ª3¡ãC¡«3¡ãC£¬ËüµÄÈ·Çк¬ÒåÊÇʲô£¿ÕâÒ»Ìì±±¾©µÄβîÊǶàÉÙ£¿Í³·¬Å躣°Î¡ª
155Ã×£¬ÊÀ½ç×î¸ß·åÖéÄÂÀÊÂ꺣°Î8848.13Ã×
¶þ¡¢ÓÐÀíÊý
2.2 ÊýÖá
1¡¢¶¨Ò壺ÓÃÒ»ÌõÖ±ÏßÉϵĵã±íʾÊý£¬ÕâÌõÖ±Ï߾ͽÐ×öÊýÖá¡£
2¡¢Âú×ãµÄÌõ¼þ£º
£¨1£©ÔÚÖ±ÏßÉÏÈ¡Ò»¸öµã±íʾÊý0£¬Õâ¸öµã½Ð×öԵ㣻
£¨2£©Í¨³£¹æ¶¨Ö±Ïß´ÓÔµãÏòÓÒ£¨»òÉÏ£©ÎªÕý·½Ïò£¬´ÓÔµãÏò×󣨻òÏ£©Îª¸º·½Ïò£»
£¨3£©Ñ¡È¡Êʵ±µÄ³¤¶ÈΪµ¥Î»³¤¶È¡£
2.3Ïà·´Êý
¶¨Ò壺ֻÓзûºÅ²»ÏàͬµÄÁ½¸öÊý½Ð×öÏà·´Êý
Ò»°ãµØ£ºaºÍ»¥ÎªÏà·´Êý£¬0µÄÏà·´ÊýÈÔÈ»ÊÇ0¡£
ÔÚÕýÊýµÄÇ°ÃæÌí¼Ó¸ººÅ£¬¾ÍµÃµ½Õâ¸öÕýÊýµÄÏà·´Êý£»ÔÚ·ÖÊýµÄÇ°ÃæÌí¼Ó¸ººÅ£¬¾ÍµÃµ½Õâ¸öÊýµÄÏà·´Êý¡£
2.4¾ø¶ÔÖµ
1¡¢¶¨Ò壺ÊýÖáÉϱíʾÊýaµÄµãÓëÔµãµÄ¾àÀë½Ð×öÊýaµÄ¾ø¶ÔÖµ£¬¼Ç×÷¨Oa¨O
Óɶ¨Òå¿ÉÖª£ºÒ»¸öÕýÊýµÄ¾ø¶ÔÖµÊÇËü±¾Éí£»Ò»¸ö¸ºÊýµÄ¾ø¶ÔÖµÊÇËüµÄÏà·´Êý£»0µÄ¾ø¶ÔÖµÊÇ0¡£
£¨1£©µ±aÊÇÕýÊýʱ£¬¨Oa¨O= £» £¨2£©µ±aÊǸºÊýʱ£¬¨Oa¨O= £» £¨3£©µ±a=0ʱ£¬¨Oa¨O= ¡£
2.5±È½ÏÁ½¸öÊýµÄ´óС
£¨1£©ÕýÊý´óÓÚ0£¬0´óÓÚ¸ºÊý£¬ÕýÊý´óÓÚ¸ºÊý£»
£¨2£©Á½¸ö¸ºÊý£¬¾ø¶ÔÖµ´óµÄ·´¶øС¡£
Èý¡¢ÓÐÀíÊýµÄ¼Ó¼õ·¨
1¡¢¼Ó·¨·¨Ôò£º£¨1£©Í¬ºÅÁ½ÊýÏà¼Ó£ºÈ¡ÏàͬµÄ·ûºÅ£¬²¢°Ñ¾ø¶ÔÖµÏà¼Ó£»
£¨2£©ÒìºÅÁ½ÊýÏà¼Ó£º¾ø¶ÔÖµ²»ÏàµÈµÄÒìºÅÁ½ÊýÏà¼Ó£¬È¡¾ø¶ÔÖµ½Ï´óµÄ¼ÓÊýµÄ·ûºÅ£¬²¢ÓýϴóµÄ¾ø¶ÔÖµ¼õÈ¥½ÏСµÄ¾ø¶ÔÖµ£¬»¥ÎªÏà·´ÊýµÄÁ½¸öÊýÏà¼ÓµÃ0£»
£¨3£©Ò»¸öÊýºÍÁãÏà¼Ó£ºÈκÎÊýºÍÁãÏà¼Ó¶¼µÈÓÚËü±¾Éí¡£
2¡¢¼Ó·¨½»»»ÂÉ¡¢½áºÏÂÉ
£¨1£©ÓÐÀíÊýµÄ¼Ó·¨½»»»ÂÉ£ºÁ½¸öÊýÏà¼Ó£¬½»»»¼ÓÊýµÄλÖ㬺Ͳ»±ä a+b=b+a
£¨2£©ÓÐÀíÊýµÄ¼Ó·¨½áºÏÂÉ£ºÈý¸öÊýÏà¼Ó£¬ÏÈ°ÑÇ°ÃæÁ½¸öÊýÏà¼Ó£¬»òÏȰѺóÁ½¸öÊýÏà¼Ó£¬ºÍ²»±ä(a+b)+c=a+(b+c)
3¡¢ÓÐÀíÊýµÄ¼õ·¨·¨Ôò£º¼õÈ¥Ò»¸öÊý£¬µÈÓÚ¼ÓÉÏÕâ¸öÊýµÄÏà·´Êý£ºa-b=a+(-b)
ËÄ¡¢ÓÐÀíÊýµÄ³Ë³ý·¨
ÓÐÀíÊýµÄ³Ë·¨·¨Ôò£º
1. Á½ÊýÏà³Ë£¬Í¬ºÅµÃÕý£¬ÒìºÅµÃ¸º£¬²¢°ÑËüÃǵľø¶ÔÖµÏà³Ë¡£
2. ÈκÎÊýͬ0Ïà³Ë£¬¶¼µÃ0¡£
3. ¼¸¸ö²»µÈÓÚ0µÄÊýÏà³Ë£¬»ýµÄ·ûºÅÓɸºÒòÊýµÄ¸öÊý¾ö¶¨£¬
µ±¸ºÒòÊýÓÐÆæÊý¸öʱ£¬»ýΪ¸º£»µ±¸ºÒòÊýÓÐżÊý¸öʱ£¬»ýΪÕý¡£
4£®³Ë·¨µÄ£º½»»»ÂÉ¡¢½áºÏÂÉ¡¢·ÖÅäÂÉ
ÓÐÀíÊýµÄ³ý·¨·¨Ôò£º
1¡¢³ýÒÔÒ»¸ö²»µÈÓÚ0µÄÊý£¬µÈÓÚ³ËÉÏÕâ¸öÊýµÄµ¹Êý£»
2¡¢Á½ÊýÏà³ý£¬Í¬ºÅµÃÕý£¬ÒìºÅµÃ¸º£¬²¢°Ñ¾ø¶ÔÖµÏà³ý£»
3¡¢0³ýÒÔÈκÎÒ»¸ö²»µÈÓÚ0µÄÊý£¬¶¼ÊÇ0.
µÚ¶þÕ£ºÕûʽµÄ¼Ó¼õ
1¡¢µ¥Ïîʽ£º µ¥¶ÀµÄÒ»¸öÊý»òÒ»¸ö×ÖĸҲÊǵ¥Ïîʽ
2¡¢ÏµÊý£º
3¡¢µ¥ÏîʽµÄ´ÎÊý£º
4¡¢¶àÏîʽ£º
5¡¢¶àÏîʽµÄ´ÎÊý£º
6¡¢Õûʽ£º
7¡¢Í¬ÀàÏ
8¡¢°Ñ¶àÏîʽÖеÄͬÀàÏîºÏ²¢³ÉÒ»Ï½Ð×öºÏ²¢Í¬ÀàÏ
ºÏ²¢Í¬ÀàÏîºó£¬ËùµÃÏîµÄϵÊýÊǺϲ¢Í¬Ç°¸÷ͬÀàÏîµÄϵÊýµÄºÍ£¬ÇÒ×Öĸ²¿·Ö²»±ä¡£
9¡¢È¥À¨ºÅ£º£¨1£©Èç¹ûÀ¨ºÅÍâµÄÒòÊýÊÇÕýÊý£¬È¥À¨ºÅºóÔÀ¨ºÅÄÚ¸÷ÏîµÄ·ûºÅÓëÔÀ´µÄ·ûºÅÏàͬ
£¨2£©Èç¹ûÀ¨ºÅÍâµÄÒòÊýÊǸºÊý£¬È¥À¨ºÅºóÔÀ¨ºÅÄÚ¸÷ÏîµÄ·ûºÅÓëÔÀ´µÄ·ûºÅÏà·´
10¡¢Ò»°ãµØ£¬¼¸¸öÕûʽÏà¼Ó¼õ£¬Èç¹ûÓÐÀ¨ºÅ¾ÍÏÈÈ¥À¨ºÅ£¬È»ºóÔٺϲ¢Í¬ÀàÏî
µÚÈýÕ£ºÒ»ÔªÒ»´Î·½³Ì
Ò»¡¢·½³ÌµÄÓйظÅÄî
1¡¢·½³ÌµÄ¸ÅÄ
£¨1£©º¬ÓÐδ֪ÊýµÄµÈʽ½Ð·½³Ì¡£
£¨2£©ÔÚÒ»¸ö·½³ÌÖУ¬Ö»º¬ÓÐÒ»¸öδ֪Êý£¬²¢ÇÒδ֪ÊýµÄÖ¸ÊýÊÇ1£¬ÏµÊý²»Îª0£¬ÕâÑùµÄ·½³Ì½ÐÒ»ÔªÒ»´Î·½³Ì¡£
2¡¢µÈʽµÄ»ù±¾ÐÔÖÊ£º
£¨1£©µÈʽÁ½±ßͬʱ¼ÓÉÏ£¨»ò¼õÈ¥£©Í¬Ò»¸ö´úÊýʽ£¬ËùµÃ½á¹ûÈÔÊǵÈʽ¡£Èôa=b£¬Ôòa+c=b+c»òa ¨C c = b ¨C c ¡£
£¨2£©µÈʽÁ½±ßͬʱ³ËÒÔ£¨»ò³ýÒÔ£©Í¬Ò»¸öÊý£¨³ýÊý²»ÄÜΪ0£©£¬ËùµÃ½á¹ûÈÔÊǵÈʽ¡£Èôa=b£¬Ôòac=bc»òab? cc
¶þ¡¢½â·½³Ì
1¡¢ÒÆÏîµÄÓйظÅÄ
°Ñ·½³ÌÖеÄijһÏî¸Ä±ä·ûºÅºó£¬´Ó·½³ÌµÄÒ»±ßÒƵ½ÁíÒ»±ß£¬½Ð×öÒÆÏî¡£Õâ¸ö·¨ÔòÊǸù¾ÝµÈʽµÄÐÔÖÊ1ÍƳöÀ´µÄ£¬Êǽⷽ³ÌµÄÒÀ¾Ý¡£°ÑijһÏî´Ó·½³ÌµÄ×ó±ßÒƵ½Óұ߻ò´ÓÓÒ±ßÒƵ½×ó±ß£¬Òƶ¯µÄÏîÒ»¶¨Òª±äºÅ¡£
¶þ¡¢Áз½³Ì½âÓ¦ÓÃÌâ
1¡¢Áз½³Ì½âÓ¦ÓÃÌâµÄÒ»°ã²½Ö裺
£¨1£©½«Êµ¼ÊÎÊÌâ³éÏó³ÉÊýѧÎÊÌ⣻
£¨2£©·ÖÎöÎÊÌâÖеÄÒÑÖªÁ¿ºÍδ֪Á¿£¬ÕÒ³öµÈÁ¿¹Øϵ£»
£¨3£©Éèδ֪Êý£¬Áгö·½³Ì£» £¨4£©½â·½³Ì£» £¨5£©¼ìÑé²¢×÷´ð¡£
2¡¢Ò»Ð©Êµ¼ÊÎÊÌâÖеĹæÂɺ͵ÈÁ¿¹Øϵ£º
£¨1£©¼¸ÖÖ³£ÓõÄÃæ»ý¹«Ê½£º
³¤·½ÐÎÃæ»ý¹«Ê½£ºS=ab£¬aΪ³¤£¬bΪ¿í£¬SΪÃæ»ý£»Õý·½ÐÎÃæ»ý¹«Ê½£ºS = a2£¬aΪ±ß³¤£¬SΪÃæ»ý£» ÌÝÐÎÃæ»ý¹«Ê½£ºS = 1(a?b)h£¬a£¬bΪÉÏϵױ߳¤£¬hΪÌÝÐεĸߣ¬SΪÌÝÐÎÃæ»ý£» 2
Ô²ÐεÄÃæ»ý¹«Ê½£ºS??r2£¬rΪԲµÄ°ë¾¶£¬SΪԲµÄÃæ»ý£»
Èý½ÇÐÎÃæ»ý¹«Ê½£ºS?1ah£¬aΪÈý½ÇÐεÄÒ»±ß³¤£¬hΪÕâÒ»±ßÉϵĸߣ¬SΪÈý½ÇÐεÄÃæ»ý¡£ 2
£¨2£©¼¸ÖÖ³£ÓõÄÖܳ¤¹«Ê½£º
³¤·½ÐεÄÖܳ¤£ºL=2£¨a+b£©£¬a£¬bΪ³¤·½Ðεij¤ºÍ¿í£¬LΪÖܳ¤¡£
Õý·½ÐεÄÖܳ¤£ºL=4a£¬aΪÕý·½Ðεı߳¤£¬LΪÖܳ¤¡£
Ô²£ºL=2¦Ðr£¬rΪ°ë¾¶£¬LΪÖܳ¤¡£
µÚËÄÕ¡¶Í¼Ðγõ²½ÈÏʶ¡·Ð¡½á¸´Ï°
£¨Ò»£©¶à×˶à²ÊµÄͼÐÎ
Á¢ÌåͼÐΣºÀâÖù¡¢Àâ׶¡¢Ô²Öù¡¢Ô²×¶¡¢ÇòµÈ¡£ ?1¡¢¼¸ºÎͼÐÎ ??ƽÃæͼÐΣºÈý½ÇÐΡ¢ËıßÐΡ¢Ô²µÈ¡£
Ö÷£¨Õý£©ÊÓͼ---------´ÓÕýÃæ¿´ ?2¡¢¼¸ºÎÌåµÄÈýÊÓͼ ?²à£¨×ó¡¢ÓÒ£©ÊÓͼ-----´Ó×ó£¨ÓÒ£©±ß¿´
?¸©ÊÓͼ---------------´ÓÉÏÃæ¿´
£¨1£©»áÅжϼòµ¥ÎïÌ壨ֱÀâÖù¡¢Ô²Öù¡¢Ô²×¶¡¢Çò£©µÄÈýÊÓͼ¡£
£¨2£©Äܸù¾ÝÈýÊÓͼÃèÊö»ù±¾¼¸ºÎÌå»òʵÎïÔÐÍ¡£
3¡¢Á¢ÌåͼÐεÄƽÃæÕ¹¿ªÍ¼
£¨1£©Í¬Ò»¸öÁ¢ÌåͼÐΰ´²»Í¬µÄ·½Ê½Õ¹¿ª£¬µÃµ½µÄƽÏÖͼÐβ»Ò»ÑùµÄ¡£
£¨2£©Á˽âÖ±ÀâÖù¡¢Ô²Öù¡¢Ô²×¶¡¢µÄƽÃæÕ¹¿ªÍ¼£¬Äܸù¾ÝÕ¹¿ªÍ¼ÅжϺÍÖÆ×÷Á¢ÌåÄ£ÐÍ¡£
4¡¢µã¡¢Ïß¡¢Ãæ¡¢Ìå
£¨1£©¼¸ºÎͼÐεÄ×é³É
µã£ºÏߺÍÏßÏཻµÄµØ·½Êǵ㣬ËüÊǼ¸ºÎͼÐÎ×î»ù±¾µÄͼÐΡ£
ÏߣºÃæºÍÃæÏཻµÄµØ·½ÊÇÏߣ¬·ÖΪֱÏߺÍÇúÏß¡£
Ã棺°üΧ×ÅÌåµÄÊÇÃ棬·ÖΪƽÃæºÍÇúÃæ¡£ Ì壺¼¸ºÎÌåÒ²¼ò³ÆÌå¡£
£¨2£©µã¶¯³ÉÏߣ¬Ï߶¯³ÉÃ棬Ã涯³ÉÌå¡£
£¨¶þ£©Ö±Ïß¡¢ÉäÏß¡¢Ï߶Î
1¡¢»ù±¾¸ÅÄî
2¡¢Ö±ÏßµÄÐÔÖÊ
¾¹ýÁ½µãÓÐÒ»ÌõÖ±Ïߣ¬²¢ÇÒÖ»ÓÐÒ»ÌõÖ±Ïß¡£¼òµ¥µØ£ºÁ½µãÈ·¶¨Ò»ÌõÖ±Ïß¡£
3¡¢»Ò»ÌõÏ߶εÈÓÚÒÑÖªÏ߶Î:Óó߹æ×÷ͼ·¨
4¡¢Ï߶εĴóС±È½Ï·½·¨:£¨1£©¶ÈÁ¿·¨ £¨2£©µþºÏ·¨
5¡¢Ï߶εÄÖе㣨¶þµÈ·Öµã£©¡¢ÈýµÈ·Öµã¡¢ËĵȷֵãµÈ
¶¨Ò壺°ÑÒ»ÌõÏ߶Îƽ¾ù·Ö³ÉÁ½ÌõÏàµÈÏ߶εĵ㡣
ͼÐΣº
·ûºÅ£ºÈôµãMÊÇÏ߶ÎABµÄÖе㣬ÔòAM=BM=AB£¬AB=2AM=2BM¡£
6¡¢Ï߶εÄÐÔÖÊ:Á½µãµÄËùÓÐÁ¬ÏßÖУ¬Ï߶Î×î¶Ì¡£¼òµ¥µØ£ºÁ½µãÖ®¼ä£¬Ï߶Î×î¶Ì¡£
7¡¢Á½µãµÄ¾àÀë:Á¬½ÓÁ½µãµÄÏ߶γ¤¶È½Ð×öÁ½µãµÄ¾àÀë¡£
8¡¢µãÓëÖ±ÏßµÄλÖùØϵ£º£¨1£©µãÔÚÖ±ÏßÉÏ £¨2£©µãÔÚÖ±ÏßÍâ¡£
£¨Èý£©½Ç
1¡¢½Ç£ºÓɹ«¹²¶ËµãµÄÁ½ÌõÉäÏßËù×é³ÉµÄͼÐνÐ×ö½Ç¡£
2¡¢½ÇµÄ±íʾ·¨£¨ËÄÖÖ£©£º3¡¢½ÇµÄ¶ÈÁ¿µ¥Î»¼°»»Ëã
£¨1£©¶ÈÁ¿·¨ £¨2£©µþºÏ·¨
6¡¢»Ò»¸ö½ÇµÈÓÚÒÑÖª½Ç
£¨1£©½èÖúÈý½Ç³ßÄÜ»³ö15¡ãµÄ±¶ÊýµÄ½Ç£¬ÔÚ0¡«180¡ãÖ®¼ä¹²ÄÜ»³ö11¸ö½Ç¡£
£¨2£©½èÖúÁ¿½ÇÆ÷ÄÜ»³ö¸ø¶¨¶ÈÊýµÄ½Ç¡£
£¨3£©Óó߹æ×÷ͼ·¨¡£
7¡¢½ÇµÄƽ·ÖÏ߶¨Ò壺´ÓÒ»¸ö½ÇµÄ¶¥µã³ö·¢£¬°ÑÕâ¸ö½Ç·Ö³ÉÏàµÈµÄÁ½¸ö½ÇµÄÉäÏß½Ð×ö½ÇµÄƽ·ÖÏß¡£
8¡¢»¥Óà¡¢»¥²¹
£¨1£©Èô¡Ï1+¡Ï2=90¡ã£¬Ôò¡Ï1Óë¡Ï2»¥ÎªÓà½Ç¡£ÆäÖСÏ1ÊÇ¡Ï2µÄÓà½Ç£¬¡Ï2ÊÇ¡Ï1µÄÓà½Ç¡£
£¨2£©Èô¡Ï1+¡Ï2=180¡ã£¬Ôò¡Ï1Óë¡Ï2»¥Îª²¹½Ç¡£ÆäÖСÏ1ÊÇ¡Ï2µÄ²¹½Ç£¬¡Ï2ÊÇ¡Ï1µÄ²¹½Ç¡£
£¨3£©Óࣨ²¹£©½ÇµÄÐÔÖÊ£ºµÈ½ÇµÄ²¹£¨Óࣩ½ÇÏàµÈ¡£
9¡¢·½Ïò½Ç£¨1£©Õý·½Ïò £¨2£©±±£¨ÄÏ£©Æ«¶«£¨Î÷£©·½Ïò£¨3£©¶«£¨Î÷£©±±£¨ÄÏ£©·½Ïò
ƪÈý£º×îÐÂÈ˽̰æÆßÄ꼶ÊýѧÉϲá×ܸ´Ï°ÖªÊ¶µã»ã×Ü
ÆßÄ꼶ÊýѧÉϲá֪ʶµã
µÚÒ»ÕÂÓÐÀíÊý
1.1 ÕýÊýÓ븺Êý
¢ÙÕýÊý£º´óÓÚ0µÄÊý½ÐÕýÊý¡££¨¸ù¾ÝÐèÒª£¬ÓÐʱÔÚÕýÊýÇ°ÃæÒ²¼ÓÉÏ¡°+¡±£©
¢Ú¸ºÊý£ºÔÚÒÔǰѧ¹ýµÄ0ÒÔÍâµÄÊýÇ°Ãæ¼ÓÉϸººÅ¡°¡ª¡±µÄÊý½Ð¸ºÊý¡£ÓëÕýÊý¾ßÓÐÏà·´ÒâÒå¡£
¢Û0¼È²»ÊÇÕýÊýÒ²²»ÊǸºÊý¡£0ÊÇÕýÊýºÍ¸ºÊýµÄ·Ö½ç£¬ÊÇΨһµÄÖÐÐÔÊý¡£
×¢Ò⣺¸ãÇåÏà·´ÒâÒåµÄÁ¿£ºÄϱ±£»¶«Î÷£»ÉÏÏ£»×óÓÒ£»ÉÏÉýϽµ£»¸ßµÍ£»Ôö³¤¼õÉÙµÈ
1.2 ÓÐÀíÊý
1¡¢ÓÐÀíÊý£¨1£©ÕûÊý:ÕýÕûÊý¡¢0¡¢¸ºÕûÊýͳ³ÆÕûÊý£»£¨2£©·ÖÊý;Õý·ÖÊýºÍ¸º·ÖÊýͳ³Æ·ÖÊý£»
£¨3£©ÓÐÀíÊý£ºÕûÊýºÍ·ÖÊýͳ³ÆÓÐÀíÊý¡£
2¡¢ÊýÖᣨ1£©¶¨Òå £ºÍ¨³£ÓÃÒ»ÌõÖ±ÏßÉϵĵã±íʾÊý£¬ÕâÌõÖ±Ïß½ÐÊýÖ᣻
£¨2£©ÊýÖáÈýÒªËØ£ºÔµã¡¢Õý·½Ïò¡¢µ¥Î»³¤¶È£»
£¨3£©Ôµã£ºÔÚÖ±ÏßÉÏÈÎÈ¡Ò»¸öµã±íʾÊý0£¬Õâ¸öµã½Ð×öԵ㣻
£¨4£©ÊýÖáÉϵĵãºÍÓÐÀíÊýµÄ¹Øϵ£ºËùÓеÄÓÐÀíÊý¶¼¿ÉÒÔÓÃÊýÖáÉϵĵã±íʾ³öÀ´£¬µ«ÊýÖáÉÏ
µÄµã£¬²»¶¼ÊDZíʾÓÐÀíÊý¡£
3¡¢Ïà·´Êý£ºÖ»ÓзûºÅ²»Í¬µÄÁ½¸öÊý½Ð×ö»¥ÎªÏà·´Êý¡££¨Àý£º2µÄÏà·´ÊýÊÇ-2£»0µÄÏà·´ÊýÊÇ0£©
4¡¢¾ø¶ÔÖµ£º£¨1£©ÊýÖáÉϱíʾÊýaµÄµãÓëÔµãµÄ¾àÀë½Ð×öÊýaµÄ¾ø¶ÔÖµ£¬¼Ç×÷|a|¡£´Ó¼¸ºÎÒâÒåÉϽ²£¬
ÊýµÄ¾ø¶ÔÖµÊÇÁ½µã¼äµÄ¾àÀë¡£
£¨2£© Ò»¸öÕýÊýµÄ¾ø¶ÔÖµÊÇËü±¾Éí£»Ò»¸ö¸ºÊýµÄ¾ø¶ÔÖµÊÇËüµÄÏà·´Êý£»0µÄ¾ø¶ÔÖµÊÇ0¡£
Á½¸ö¸ºÊý£¬¾ø¶ÔÖµ´óµÄ·´¶øС¡£
1.3 ÓÐÀíÊýµÄ¼Ó¼õ·¨
¢ÙÓÐÀíÊý¼Ó·¨·¨Ôò£º
1¡¢Í¬ºÅÁ½ÊýÏà¼Ó£¬È¡ÏàͬµÄ·ûºÅ£¬²¢°Ñ¾ø¶ÔÖµÏà¼Ó¡£
2¡¢¾ø¶ÔÖµ²»ÏàµÈµÄÒìºÅÁ½ÊýÏà¼Ó£¬È¡¾ø¶ÔÖµ½Ï´óµÄ¼ÓÊýµÄ·ûºÅ£¬²¢ÓýϴóµÄ¾ø¶ÔÖµ¼õÈ¥½ÏСµÄ¾ø¶ÔÖµ¡£»¥ÎªÏà·´ÊýµÄÁ½¸öÊýÏà¼ÓµÃ0¡£
3¡¢Ò»¸öÊýͬ0Ïà¼Ó£¬ÈÔµÃÕâ¸öÊý¡£
¼Ó·¨µÄ½»»»ÂɺͽáºÏÂÉ
¢ÚÓÐÀíÊý¼õ·¨·¨Ôò£º¼õÈ¥Ò»¸öÊý£¬µÈÓÚ¼ÓÕâ¸öÊýµÄÏà·´Êý¡£
1.4 ÓÐÀíÊýµÄ³Ë³ý·¨
¢ÙÓÐÀíÊý³Ë·¨·¨Ôò£ºÁ½ÊýÏà³Ë£¬Í¬ºÅµÃÕý£¬ÒìºÅµÃ¸º£¬²¢°Ñ¾ø¶ÔÖµÏà³Ë£»
ÈκÎÊýͬ0Ïà³Ë£¬¶¼µÃ0£»
³Ë»ýÊÇ1µÄÁ½¸öÊý»¥Îªµ¹Êý¡£
³Ë·¨½»»»ÂÉ/½áºÏÂÉ/·ÖÅäÂÉ
¢ÚÓÐÀíÊý³ý·¨·¨Ôò£º³ýÒÔÒ»¸ö²»µÈÓÚ0µÄÊý£¬µÈÓÚ³ËÕâ¸öÊýµÄµ¹Êý£»
Á½ÊýÏà³ý£¬Í¬ºÅµÃÕý£¬ÒìºÅµÃ¸º£¬²¢°Ñ¾ø¶ÔÖµÏà³ý£»
0³ýÒÔÈκÎÒ»¸ö²»µÈÓÚ0µÄÊý£¬¶¼µÃ0¡£
1.5 ÓÐÀíÊýµÄ³Ë·½
1¡¢Çón¸öÏàͬÒòÊýµÄ»ýµÄÔËË㣬½Ð³Ë·½£¬³Ë·½µÄ½á¹û½ÐÃÝ¡£ÔÚaµÄn´Î·½ÖУ¬a½Ð×öµ×Êý£¬n½Ð×ö
Ö¸Êý¡£¸ºÊýµÄÆæ´ÎÃÝÊǸºÊý£¬¸ºÊýµÄż´ÎÃÝÊÇÕýÊý¡£ÕýÊýµÄÈκδÎÃݶ¼ÊÇÕýÊý£¬0µÄÈκδÎÃݶ¼ÊÇ0¡£
2¡¢ÓÐÀíÊýµÄ»ìºÏÔËËã·¨Ôò£ºÏȳ˷½£¬Ôٳ˳ý£¬×îºó¼Ó¼õ£»Í¬¼¶ÔËË㣬´Ó×óµ½ÓÒ½øÐУ»ÈçÓÐÀ¨ºÅ£¬ÏÈ×öÀ¨ºÅÄÚµÄÔËË㣬°´Ð¡À¨ºÅ¡¢ÖÐÀ¨ºÅ¡¢´óÀ¨ºÅÒÀ´Î½øÐС£
3¡¢°ÑÒ»¸ö´óÓÚ10µÄÊý±íʾ³Éa¡Á10µÄn´Î·½µÄÐÎʽ£¬Ê¹ÓõľÍÊÇ¿Æѧ¼ÆÊý·¨£¬×¢ÒâaµÄ·¶Î§Îª1¡Üa <10¡£
4¡¢´ÓÒ»¸öÊýµÄ×ó±ßµÚÒ»¸ö·Ç0Êý×ÖÆ𣬵½Ä©Î»Êý×ÖÖ¹£¬ËùÓÐÊý×Ö¶¼ÊÇÕâ¸öÊýµÄÓÐЧÊý×Ö¡£ËÄÉáÎåÈë×ñ´Ó¾«È·µ½ÄÄһλ¾Í´ÓÕâһλµÄÏÂһλ¿ªÊ¼£¬¶ø²»ÊÇ´ÓÊý×ÖµÄĩβÍùÇ°ËÄÉáÎåÈë¡£±ÈÈ磺3.5449¾«È·µ½0.01¾ÍÊÇ3.54¶ø²»ÊÇ3.55.
µÚ¶þÕÂÕûʽµÄ¼Ó¼õ
2.1 Õûʽ
1¡¢µ¥Ïîʽ£ºÓÉÊý×ÖºÍ×Öĸ³Ë»ý×é³ÉµÄʽ×Ó¡£ÏµÊý£¬µ¥ÏîʽµÄ´ÎÊý. µ¥ÏîʽָµÄÊÇÊý»ò×ÖĸµÄ»ýµÄ´úÊýʽ£®µ¥¶ÀÒ»¸öÊý»òÒ»¸ö×ÖĸҲÊǵ¥Ïîʽ£®Òò´Ë£¬ÅжϴúÊýʽÊÇ·ñÊǵ¥Ïîʽ£¬¹Ø¼üÒª¿´´úÊýʽÖÐÊýÓë×ÖĸÊÇ·ñÊdz˻ý¹Øϵ£¬¼´·ÖĸÖв»º¬ÓÐ×Öĸ£¬Èôʽ×ÓÖк¬Óмӡ¢¼õÔËËã¹Øϵ£¬ÆäÒ²²»Êǵ¥Ïîʽ£®
2¡¢µ¥ÏîʽµÄϵÊý£ºÊÇÖ¸µ¥ÏîʽÖеÄÊý×ÖÒòÊý£»
3¡¢µ¥ÏîÊýµÄ´ÎÊý£ºÊÇÖ¸µ¥ÏîʽÖÐËùÓÐ×ÖĸµÄÖ¸ÊýµÄºÍ£®
4¡¢¶àÏîʽ£º¼¸¸öµ¥ÏîʽµÄºÍ¡£ÅжϴúÊýʽÊÇ·ñÊǶàÏîʽ£¬¹Ø¼üÒª¿´´úÊýʽÖеÄÿһÏîÊÇ·ñÊǵ¥Ïîʽ£®Ã¿¸öµ¥Ïîʽ³ÆÏ³£ÊýÏ¶àÏîʽµÄ´ÎÊý¾ÍÊǶàÏîʽÖдÎÊý×î¸ßµÄ´ÎÊý¡£¶àÏîʽµÄ´ÎÊýÊÇÖ¸¶àÏîʽÀï´ÎÊý×î¸ßÏîµÄ´ÎÊý£¬ÕâÀïabÊÇ´ÎÊý×î¸ßÏÆä´ÎÊýÊÇ6£»¶àÏîʽµÄÏîÊÇÖ¸ÔÚ¶àÏîʽÖУ¬Ã¿Ò»¸öµ¥Ïîʽ£®Ìرð×¢Òâ¶àÏîʽµÄÏî°üÀ¨ËüÇ°ÃæµÄÐÔÖÊ·ûºÅ£®
5¡¢ËüÃǶ¼ÊÇÓÃ×Öĸ±íʾÊý»òÁÐʽ±íʾÊýÁ¿¹Øϵ¡£×¢Òâµ¥ÏîʽºÍ¶àÏîʽµÄÿһÏ°üÀ¨ËüÇ°ÃæµÄ·ûºÅ¡£
6¡¢µ¥ÏîʽºÍ¶àÏîʽͳ³ÆΪÕûʽ¡£ 33
2.2ÕûʽµÄ¼Ó¼õ
1¡¢Í¬ÀàÏËùº¬×ÖĸÏàͬ£¬²¢ÇÒÏàͬ×ÖĸµÄÖ¸ÊýÒ²ÏàͬµÄÏî¡£Óë×ÖĸǰÃæµÄϵÊý£¨¡Ù0£©Î޹ء£
2¡¢Í¬ÀàÏî±ØÐëͬʱÂú×ãÁ½¸öÌõ¼þ£º£¨1£©Ëùº¬×ÖĸÏàͬ£»£¨2£©Ïàͬ×ÖĸµÄ´ÎÊýÏàͬ£¬¶þÕßȱһ²»¿É£®Í¬ÀàÏîÓëϵÊý´óС¡¢×ÖĸµÄÅÅÁÐ˳ÐòÎÞ¹Ø
3¡¢ºÏ²¢Í¬ÀàÏ°Ñ¶àÏîʽÖеÄͬÀàÏîºÏ²¢³ÉÒ»Ïî¡£¿ÉÒÔÔËÓý»»»ÂÉ£¬½áºÏÂɺͷÖÅäÂÉ¡£
4¡¢ºÏ²¢Í¬ÀàÏî·¨Ôò£ººÏ²¢Í¬ÀàÏîºó£¬ËùµÃÏîµÄϵÊýÊǺϲ¢Ç°¸÷ͬÀàÏîµÄϵÊýµÄºÍ£¬ÇÒ×Öĸ²¿·Ö²»±ä£»
5¡¢È¥À¨ºÅ·¨Ôò£ºÈ¥À¨ºÅ£¬¿´·ûºÅ£ºÊÇÕýºÅ£¬²»±äºÅ£»ÊǸººÅ£¬È«±äºÅ¡£
6¡¢Õûʽ¼Ó¼õµÄÒ»°ã²½Ö裺
һȥ¡¢¶þÕÒ¡¢ÈýºÏ
£¨1£©Èç¹ûÓöµ½À¨ºÅ°´È¥À¨ºÅ·¨ÔòÏÈÈ¥À¨ºÅ. £¨2£©½áºÏͬÀàÏî. £¨3£©ºÏ²¢Í¬ÀàÏî
µÚÈýÕÂÒ»ÔªÒ»´Î·½³Ì
3.1 Ò»ÔªÒ»´Î·½³Ì
1¡¢·½³ÌÊǺ¬ÓÐδ֪ÊýµÄµÈʽ¡£
2¡¢·½³Ì¶¼Ö»º¬ÓÐÒ»¸öδ֪Êý£¨Ôª£©x£¬Î´ÖªÊýxµÄÖ¸Êý¶¼ÊÇ1£¨´Î£©£¬ÕâÑùµÄ·½³Ì½Ð×öÒ»ÔªÒ»´Î·½³Ì¡£ ×¢Ò⣺ÅжÏÒ»¸ö·½³ÌÊÇ·ñÊÇÒ»ÔªÒ»´Î·½³ÌҪץסÈýµã£º
1£©Î´ÖªÊýËùÔÚµÄʽ×ÓÊÇÕûʽ£¨·½³ÌÊÇÕûʽ·½³Ì£©£»
2£©»¯¼òºó·½³ÌÖÐÖ»º¬ÓÐÒ»¸öδ֪Êý£»
3£©¾ÕûÀíºó·½³ÌÖÐδ֪ÊýµÄ´ÎÊýÊÇ1.
3¡¢½â·½³Ì¾ÍÊÇÇó³öʹ·½³ÌÖеȺÅ×óÓÒÁ½±ßÏàµÈµÄδ֪ÊýµÄÖµ£¬Õâ¸öÖµ¾ÍÊÇ·½³ÌµÄ½â¡£
4¡¢µÈʽµÄÐÔÖÊ£º 1£©µÈʽÁ½±ßͬʱ¼Ó£¨»ò¼õ£©Í¬Ò»¸öÊý£¨»òʽ×Ó£©£¬½á¹ûÈÔÏàµÈ£»
2£©µÈʽÁ½±ßͬʱ³Ëͬһ¸öÊý£¬»ò³ýÒÔͬһ¸ö²»Îª0µÄÊý£¬½á¹ûÈÔÏàµÈ¡£
×¢Ò⣺ÔËÓÃÐÔÖÊʱ£¬Ò»¶¨Òª×¢ÒâµÈºÅÁ½±ß¶¼ÒªÍ¬Ê±±ä£»ÔËÓÃÐÔÖÊ2ʱ£¬Ò»¶¨Òª×¢Òâ0Õâ¸öÊý.
3.2 ¡¢3.3½âÒ»ÔªÒ»´Î·½³Ì
ÔÚʵ¼Ê½â·½³ÌµÄ¹ý³ÌÖУ¬ÒÔϲ½Öè²»Ò»¶¨ÍêÈ«ÓÃÉÏ£¬ÓÐЩ²½Ö軹ÐèÖظ´Ê¹ÓÃ. Òò´ËÔڽⷽ³Ìʱ»¹Òª×¢ÒâÒÔϼ¸µã£º
¢ÙÈ¥·Öĸ£ºÔÚ·½³ÌÁ½±ß¶¼³ËÒÔ¸÷·ÖĸµÄ×îС¹«±¶Êý£¬²»ÒªÂ©³Ë²»º¬·ÖĸµÄÏ·Ö×ÓÊÇÒ»¸öÕûÌ壬ȥ·ÖĸºóÓ¦¼ÓÉÏÀ¨ºÅ£»È¥·ÖĸÓë·Öĸ»¯ÕûÊÇÁ½¸ö¸ÅÄ²»ÄÜ»ìÏý£»
¢ÚÈ¥À¨ºÅ£º×ñ´ÓÏÈȥСÀ¨ºÅ£¬ÔÙÈ¥ÖÐÀ¨ºÅ£¬×îºóÈ¥´óÀ¨ºÅ£»²»ÒªÂ©³ËÀ¨ºÅµÄÏ²»ÒªÅª´í·ûºÅ£» ¢ÛÒÆÏ°Ñº¬ÓÐδ֪ÊýµÄÏîÒƵ½·½³ÌµÄÒ»±ß£¬ÆäËûÏÒƵ½·½³ÌµÄÁíÒ»±ß£¨ÒÆÏîÒª±ä·ûºÅ£© ÒÆÏîÒª±äºÅ£»
¢ÜºÏ²¢Í¬ÀàÏ²»Òª¶ªÏ½â·½³ÌÊÇͬ½â±äÐΣ¬Ã¿Ò»²½¶¼ÊÇÒ»¸ö·½³Ì£¬²»ÄÜÏñ¼ÆËã»ò»¯¼òÌâÄÇÑùдÄÜÁ¬µÈµÄÐÎʽ£»
¢ÝϵÊý»¯Îª1£º:×Öĸ¼°ÆäÖ¸Êý²»±äϵÊý»¯³É1£¬ÔÚ·½³ÌÁ½±ß¶¼³ýÒÔδ֪ÊýµÄϵÊýa£¬µÃµ½·½³ÌµÄ½â¡£²»Òª·Ö×Ó¡¢·Öĸ¸ãµßµ¹¡£
3.4 ʵ¼ÊÎÊÌâÓëÒ»ÔªÒ»´Î·½³Ì
Ò»£®¸ÅÄîÊáÀí
¢ÅÁÐÒ»ÔªÒ»´Î·½³Ì½â¾öʵ¼ÊÎÊÌâµÄÒ»°ã²½ÖèÊÇ£º¢ÙÉóÌ⣬Ìرð×¢Òâ¹Ø¼üµÄ×ֺʹʵÄÒâÒ壬ŪÇåÏà¹Ø
ÊýÁ¿¹Øϵ£»¢ÚÉè³öδ֪Êý£¨×¢Òⵥ룩£»¢Û¸ù¾ÝÏàµÈ¹ØϵÁÐ
³ö·½³Ì£»¢Ü½âÕâ¸ö·½³Ì£»¢Ý¼ìÑ鲢д³ö´ð°¸£¨°üÀ¨µ¥Î»Ãû³Æ£©¡£
¢ÆһЩ¹Ì¶¨Ä£ÐÍÖеĵÈÁ¿¹Øϵ¼°µäÐÍÀýÌâ²ÎÕÕÒ»ÔªÒ»´Î·½³ÌÓ¦ÓÃÌâרÁ·Ñ§°¸¡£
¶þ¡¢Ë¼Ïë·½·¨£¨±¾µ¥Ôª³£Óõ½µÄÊýѧ˼Ïë·½·¨Ð¡½á£©
¢Å½¨Ä£Ë¼Ï룺ͨ¹ý¶Ôʵ¼ÊÎÊÌâÖеÄÊýÁ¿¹ØϵµÄ·ÖÎö£¬³éÏó³ÉÊýѧģÐÍ£¬½¨Á¢Ò»ÔªÒ»´Î·½³ÌµÄ˼Ïë. ¢Æ·½³Ì˼Ï룺Ó÷½³Ì½â¾öʵ¼ÊÎÊÌâµÄ˼Ïë¾ÍÊÇ·½³Ì˼Ïë.
¢Ç»¯¹é˼Ï룺½âÒ»ÔªÒ»´Î·½³ÌµÄ¹ý³Ì£¬ÊµÖÊÉϾÍÊÇÀûÓÃÈ¥·Öĸ¡¢È¥À¨ºÅ¡¢ÒÆÏî¡¢ºÏ²¢Í¬ÀàÏδ֪
ÊýµÄϵÊý»¯Îª1µÈ¸÷ÖÖͬ½â±äÐΣ¬²»¶ÏµØÓÃеĸü¼òµ¥µÄ·½³ÌÀ´´úÌæÔÀ´µÄ·½³Ì£¬×î
ºóÖð²½°Ñ·½³Ìת»¯Îªx=aµÄÐÎʽ. ÌåÏÖÁË»¯¡°Î´Öª¡±Îª¡°ÒÑÖª¡±µÄ»¯¹é˼Ïë.
¢ÈÊýÐνáºÏ˼Ï룺ÔÚÁз½³Ì½â¾öÎÊÌâʱ£¬½èÖúÓÚÏ߶ÎʾÒâͼºÍͼ±íµÈÀ´·ÖÎöÊýÁ¿¹Øϵ£¬Ê¹ÎÊÌâÖеÄ
ÊýÁ¿¹ØϵºÜÖ±¹ÛµØչʾ³öÀ´£¬ÌåÏÖÁËÊýÐνáºÏµÄÓÅÔ½ÐÔ.
¢É·ÖÀà˼Ï룺Ôڽ⺬×ÖĸϵÊýµÄ·½³ÌºÍº¬¾ø¶ÔÖµ·ûºÅµÄ·½³Ì¹ý³ÌÖÐÍùÍùÐèÒª·ÖÀàÌÖÂÛ£¬ÔÚ½âÓйط½
°¸Éè¼ÆµÄʵ¼ÊÎÊÌâµÄ¹ý³ÌÖÐÍùÍùҲҪעÒâ·ÖÀà˼ÏëÔÚ¹ý³ÌÖеÄÔËÓÃ.
Èý¡¢Êýѧ˼Ïë·½·¨µÄѧϰ
1. ½âÒ»ÔªÒ»´Î·½³Ìʱ£¬ÒªÃ÷ȷÿһ²½¹ý³Ì¶¼×÷ʲô±äÐΣ¬Ó¦¸Ã×¢ÒâʲôÎÊÌâ.
2. Ñ°ÕÒʵ¼ÊÎÊÌâµÄÊýÁ¿¹Øϵʱ£¬ÒªÉÆÓÚ½èÖúÖ±¹Û·ÖÎö·¨£¬Èç±í¸ñ·¨£¬Ö±Ïß·ÖÎö·¨ºÍͼʾ·ÖÎö·¨µÈ.
3. Áз½³Ì½âÓ¦ÓÃÌâµÄ¼ìÑé°üÀ¨Á½¸ö·½Ã棺¢Å¼ìÑéÇóµÃµÄ½á¹ûÊDz»ÊÇ·½³ÌµÄ½â£»
¢ÆÊÇÒªÅжϷ½³ÌµÄ½âÊÇ·ñ·ûºÏÌâÄ¿ÖеÄʵ¼ÊÒâÒå.
ËÄ¡¢Ò»ÔªÒ»´Î·½³ÌµäÐÍÀýÌâ
m3Àý1. ÒÑÖª·½³Ì2x£+3x=5ÊÇÒ»ÔªÒ»´Î·½³Ì£¬Ôò.
½â£ºÓÉÒ»ÔªÒ»´Î·½³ÌµÄ¶¨Òå¿ÉÖªm£3=1£¬½âµÃm=4.»òm£3=0£¬½âµÃm=3
ËùÒÔm=4»òm=3
¾¯Ê¾£ººÜ¶àͬѧ×öµ½ÕâÖÖÌâÐÍʱ¾ÍÏëµ½Ö¸ÊýÊÇ1£¬´Ó¶øд³Ém=1£¬ÕâÀïÒ»¶¨Òª×¢ÒâxµÄÖ¸ÊýÊÇ£¨m
£3£©.
2Àý2. ÒÑÖªx??2ÊÇ·½³Ìax££¨2a£3£©x+5=0µÄ½â£¬ÇóaµÄÖµ.
½â£º¡ßx=£2ÊÇ·½³Ìax££¨2a£3£©x+5=0µÄ½â
¡à½«x=£2´úÈë·½³Ì£¬
2µÃ a¡¤£¨£2£©££¨2a£3£©¡¤£¨£2£©+5=0 2
»¯¼ò£¬µÃ 4a+4a£6+5=0
¡à a=1 8
µã²¦£ºÒªÏë½â¾öÕâµÀÌâÄ¿£¬Ó¦¸Ã´Ó·½³ÌµÄ½âµÄ¶¨ÒåÈëÊÖ£¬·½³ÌµÄ½â¾ÍÊÇʹ·½³Ì×óÓÒÁ½±ßÖµÏàµÈµÄδ֪ÊýµÄÖµ£¬ÕâÑù°Ñx=£2´úÈë·½³Ì£¬È»ºóÔÙ½â¹ØÓÚaµÄÒ»ÔªÒ»´Î·½³Ì¾Í¿ÉÒÔÁË.
Àý3. ½â·½³Ì2£¨x+1£©£3£¨4x£3£©=9£¨1£x£©.
½â£ºÈ¥À¨ºÅ£¬µÃ 2x+2£12x+9=9£9x£¬
ÒÆÏµÃ 2+9£9=12x£2x£9x.
ºÏ²¢Í¬ÀàÏµÃ 2=x£¬¼´x=2.
µã²¦£º´ËÌâµÄÒ»°ã½â·¨ÊÇÈ¥À¨ºÅºó½«ËùÓеÄδ֪ÏîÒƵ½·½³ÌµÄ×ó±ß£¬ÒÑÖªÏîÒƵ½·½³ÌµÄÓұߣ¬Æäʵ£¬ÎÒÃÇÔÚÈ¥À¨ºÅºó·¢ÏÖËùÓеÄδ֪ÏîÒƵ½·½³ÌµÄ×ó±ßºÏ²¢Í¬ÀàÏîºóϵÊý²»ÎªÕý£¬ÎªÁ˼õÉÙ¼ÆËãµÄÄѶȣ¬ÎÒÃÇ¿ÉÒÔ¸ù¾ÝµÈʽµÄ¶Ô³ÆÐÔ£¬°ÑËùÓеÄδ֪ÏîÒƵ½ÓÒ±ßÈ¥£¬ÒÑÖªÏîÒƵ½·½³ÌµÄ×ó±ß£¬×îºóÔÙд³Éx=aµÄÐÎʽ.
Àý4. ½â·½³Ì 1?1?1?x?1???. ?3??5??7??1???8?6?4?2???
1?1?x?1???3??5??1 ??6?4?2??
1?x?1? ?3??1?4?2?½âÎö£º·½³ÌÁ½±ß³ËÒÔ8£¬ÔÙÒÆÏîºÏ²¢Í¬ÀàÏµÃͬÑù£¬·½³ÌÁ½±ß³ËÒÔ6£¬ÔÙÒÆÏîºÏ²¢Í¬ÀàÏµÃ
·½³ÌÁ½±ß³ËÒÔ4£¬ÔÙÒÆÏîºÏ²¢Í¬ÀàÏµÃx?1?1 2
·½³ÌÁ½±ß³ËÒÔ2£¬ÔÙÒÆÏîºÏ²¢Í¬ÀàÏµÃx=3.
˵Ã÷£º½â·½³Ìʱ£¬Óöµ½¶àÖØÀ¨ºÅ£¬Ò»°ãµÄ·½·¨ÊÇ´ÓÀïÍùÍâ»ò´ÓÍâÍùÀïÔËÓó˷¨µÄ·ÖÅäÂÉÖð²ãÈ¥Ìغţ¬¶ø±¾Ìâ×î¼ò½ÝµÄ·½·¨È´²»ÊÇÕâÑù£¬ÊÇͨ¹ý·½³ÌÁ½±ß·Ö±ð³ËÒÔÒ»¸öÊý£¬´ïµ½È¥·ÖĸºÍÈ¥À¨ºÅµÄÄ¿µÄ¡£
Àý5. ½â·½³Ì4x?1.55x?0.81.2?x. ??0.50.20.1
½âÎö£º·½³Ì¿ÉÒÔ»¯Îª (4x?1.5)?2(5x?0.8)?5(1.2?x)?10 ??0.5?20.2?50.1?10
ÕûÀí£¬µÃ 2(4x?1.5)?5(5x?0.8)?10(1.2?x)
È¥À¨ºÅÒÆÏîºÏ²¢Í¬ÀàÏµÃ £7x=11£¬ËùÒÔx=?11. 7
˵Ã÷£ºÒ»¼ûµ½´Ë·½³Ì£¬Ðí¶àͬѧÁ¢¼´Ïëµ½ÀÏʦ½éÉܵķ½·¨£¬ÄǾÍÊÇ°Ñ·Öĸ»¯³ÉÕûÊý£¬¼´¸÷·ÖÊý·Ö×Ó·Öĸ¶¼³ËÒÔ10£¬ÔÙÉ跨ȥ·Öĸ£¬Æäʵ£¬×Ðϸ¹Û²ìÕâ¸ö·½³Ì£¬ÎÒÃÇ¿ÉÒÔ½«·Öĸ»¯³ÉÕûÊýÓëÈ¥·ÖĸÁ½²½Ò»²½µ½Î»£¬µÚÒ»¸ö·ÖÊý·Ö×Ó·Öĸ¶¼³ËÒÔ2£¬µÚ¶þ¸ö·ÖÊý·Ö×Ó·Öĸ¶¼³ËÒÔ5£¬µÚÈý¸ö·ÖÊý·Ö×Ó·Öĸ¶¼³ËÒÔ10.
Àý6. ½â·½³Ì xxxx????1. 6122030
xxxx????1. 2?33?44?55?6½âÎö£ºÔ·½³Ì¿É»¯Îª
xxxxxxxx·½³Ì¼´Îª ????????1. 23344556
xxËùÒÔÓÐ ??1. 26
ÔÙÀ´½âÖ®£¬¾ÍÄܺܿìµÃµ½´ð°¸£º x=3.
3£¬12=3¡Á4£¬ÖªÊ¶Á´½Ó£º´ËÌâÈç¹ûÖ±½ÓÈ¥·Öĸ£¬»òÕßͨ·Ö£¬Êý×ֽϴó£¬ÔËËã·³Ëö£¬·¢ÏÖ·Öĸ6=2¡Á
20=4¡Á5£¬30=5¡Á6£¬ÁªÏµµ½ÎÒÃÇСѧÔø×ö¹ýÕâÑùµÄ·Öʽ»¯¼òÌ⣬¹Ê²ÉÓòðÏî·¨½âÖ®±È½Ï¼ò±ã.
Àý7. ²Î¼Óij±£ÏÕ¹«Ë¾µÄÒ½ÁƱ£ÏÕ£¬×¡ÔºÖÎÁƵIJ¡ÈË¿ÉÏíÊֶܷα¨Ïú£¬?±£ÏÕ¹«Ë¾Öƶȵı¨Ïúϸ
ÔòÈçÏÂ±í£¬Ä³È˽ñÄêסԺÖÎÁƺóµÃµ½±£ÏÕ¹«Ë¾±¨ÏúµÄ½ð¶îÊÇ1260Ôª£¬ÄÇô´ËÈ˵Äʵ¼ÊÒ½ÁÆ·ÑÊÇ£¨£©
A. 2600Ôª ½âÎö£ºÉè´ËÈ˵Äʵ¼ÊÒ½ÁÆ·ÑΪxÔª£¬¸ù¾ÝÌâÒâÁз½³Ì£¬µÃ
500¡Á0+500¡Á60%+£¨x£500£500£© ¡Á80%=1260.
½âÖ®£¬µÃx=2200£¬¼´´ËÈ˵Äʵ¼ÊÒ½ÁÆ·ÑÊÇ2200Ôª. ¹ÊÑ¡B.
µã²¦£º½â´ð±¾ÌâÊ×ÏÈҪŪÇåÌâÒ⣬¶Á¶®Í¼±í£¬´ÓÖÐÓ¦Àí½âÒ½ÁÆ·ÑÊǷֶμÆËãÀÛ¼ÓÇóºÍ¶øµÃµÄ. Òò
60%£¼1260£¼2000¡Á80%£¬ËùÒÔ¿ÉÖªÅжϴËÈ˵ÄÒ½ÁÆ·ÑÓÃÓ¦°´µÚÒ»µµÖÁµÚÈýµµÀÛ¼Ó¼ÆËã. Ϊ500¡Á
Àý8. ÎÒÊÐijÏسÇΪ¹ÄÀø¾ÓÃñ½ÚÔ¼ÓÃË®£¬¶Ô×ÔÀ´Ë®Óû§°´·Ö¶Î¼Æ·Ñ·½Ê½ÊÕÈ¡Ë®·Ñ£ºÈôÿÔÂÓÃË®²»³¬¹ý7Á¢·½Ã×£¬Ôò°´Ã¿Á¢·½Ã×1ÔªÊÕ·Ñ£»ÈôÿÔÂÓÃË®³¬¹ý7Á¢·½Ã×£¬Ôò³¬¹ý²¿·Ö°´Ã¿Á¢·½Ã×2ÔªÊÕ·Ñ. Èç¹ûij»§¾ÓÃñ½ñÄê5Ô½ÉÄÉÁË17Ԫˮ·Ñ£¬ÄÇôÕ⻧¾ÓÃñ½ñÄê5ÔµÄÓÃË®Á¿Îª__________Á¢·½Ã×.
7£¼17£¬ËùÒԸû§¾ÓÃñ½ñÄê5ÔµÄÓÃË®Á¿³¬±ê. ½âÎö£ºÓÉÓÚ1¡Á
1+2£¨x£7£©=17£¬ ½âµÃx=12. ÉèÕ⻧¾ÓÃñ5ÔµÄÓÃË®Á¿ÎªxÁ¢·½Ã×£¬¿ÉµÃ·½³Ì£º7¡Á
ËùÒÔ£¬Õ⻧¾ÓÃñ5ÔµÄÓÃË®Á¿Îª12Á¢·½Ã×.
¡¶ÆßÄ꼶ÉÏÊýѧ¸´Ï°Ìá¸Ù¡·³ö×Ô£º°ÙζÊéÎÝ
Á´½ÓµØÖ·£ºhttp://www.850500.com/news/95714.html
תÔØÇë±£Áô,лл!