¸ø³ö4¸öÃüÌ⣺
£¨1£©ÉèÍÖÔ²³¤Ö᳤¶ÈΪ2a£¨a£¾0£©£¬ÍÖÔ²ÉϵÄÒ»µãPµ½Ò»¸ö½¹µãµÄ¾àÀëÊÇ
2
3
a
£¬Pµ½Ò»Ìõ×¼ÏߵľàÀëÊÇ
8
3
a
£¬Ôò´ËÍÖÔ²µÄÀëÐÄÂÊΪ
1
4
£®
£¨2£©ÈôÍÖÔ²
x2
a2
+
y2
b2
=1
£¨a¡Ùb£¬ÇÒa£¬bΪÕýµÄ³£Êý£©µÄ×¼ÏßÉÏÈÎÒâÒ»µãµ½Á½½¹µãµÄ¾àÀë·Ö±ðΪd1£¬d2£¬Ôò|d12-d22|Ϊ¶¨Öµ£®
£¨3£©Èç¹ûƽÃæÄÚ¶¯µãMµ½¶¨Ö±ÏßlµÄ¾àÀëÓëMµ½¶¨µãFµÄ¾àÀëÖ®±È´óÓÚ1£¬ÄÇô¶¯µãMµÄ¹ì¼£ÊÇË«ÇúÏߣ®
£¨4£©¹ýÅ×ÎïÏß½¹µãFµÄÖ±ÏßÓëÅ×ÎïÏß½»ÓÚA¡¢BÁ½µã£¬ÈôA¡¢BÔÚÅ×ÎïÏß×¼ÏßÉϵÄÉäÓ°·Ö±ðΪA1¡¢B1£¬ÔòFA1¡ÍFB1£®
ÆäÖÐÕýÈ·ÃüÌâµÄÐòºÅÒÀ´ÎÊÇ
£¨2£©£¨4£©
£¨2£©£¨4£©
£®£¨°ÑÄãÈÏΪÕýÈ·µÄÃüÌâÐòºÅ¶¼ÌîÉÏ£©
·ÖÎö£º¶ÔÓÚ£¨1£©£ºÍÖÔ²ÉϵÄÒ»µãPµ½Ò»¸ö½¹µãµÄ¾àÀëÊÇ
2
3
a
£¬Pµ½ÏàÓ¦µÄÒ»Ìõ×¼ÏߵľàÀëÊÇ
8
3
a
£¬Ôò´ËÍÖÔ²µÄÀëÐÄÂʲÅΪ
1
4
£®£»¶ÔÓÚ£¨2£©ÈôÍÖÔ²
x2
a2
+
y2
b2
=1
£¨a¡Ùb£¬ÇÒa£¬bΪÕýµÄ³£Êý£©µÄ×¼ÏßÉÏÈÎÒâÒ»µãµ½Á½½¹µãµÄ¾àÀë·Ö±ðΪd1£¬d2£¬Ôò|d12-d22|=4a2Ϊ¶¨Öµ£»£¨3£©Èç¹ûƽÃæÄÚ¶¯µãMµ½¶¨µãFµÄ¾àÀëÓëMµ½¶¨Ö±ÏßlµÄ¾àÀëÖ®±È´óÓÚ1£¬ÄÇô¶¯µãMµÄ¹ì¼£²ÅÊÇË«ÇúÏߣ»¶ÔÓÚ£¨4£©ÓÉÅ×ÎïÏߵĶ¨Òå¼°ÄÚ´í½ÇÏàµÈ£¬¿ÉµÃ¡ÏAFA1=¡ÏA1FK£¬Í¬Àí¿ÉÖ¤¡ÏBFB1=¡ÏB1FK£¬ÓÉ¡ÏAFA1+¡ÏA1FK+¡ÏBFB1+¡ÏB1FK=180¡ã£¬¿ÉµÃ´ð°¸£®
½â´ð£º½â£º¶ÔÓÚ£¨1£©£ºÍÖÔ²ÉϵÄÒ»µãPµ½Ò»¸ö½¹µãµÄ¾àÀëÊÇ
2
3
a
£¬Pµ½ÏàÓ¦µÄÒ»Ìõ×¼ÏߵľàÀëÊÇ
8
3
a
£¬Ôò´ËÍÖÔ²µÄÀëÐÄÂʲÅΪ
1
4
£®±¾Ñ¡ÏîÖеÄ×¼Ïß²»Ò»¶¨Óë½¹µã¶ÔÓ¦£¬¹Ê´í£»
¶ÔÓÚ£¨2£©ÈôÍÖÔ²
x2
a2
+
y2
b2
=1
£¨a¡Ùb£¬ÇÒa£¬bΪÕýµÄ³£Êý£©µÄ×¼ÏßÉÏÈÎÒâÒ»µãµ½Á½½¹µãµÄ¾àÀë·Ö±ðΪd1£¬d2£¬Ôò|d12-d22|=4a2Ϊ¶¨Öµ£¬ÕýÈ·£®
£¨3£©Èç¹ûƽÃæÄÚ¶¯µãMµ½¶¨µãFµÄ¾àÀëÓëMµ½¶¨Ö±ÏßlµÄ¾àÀëÖ®±È´óÓÚ1£¬ÄÇô¶¯µãMµÄ¹ì¼£²ÅÊÇË«ÇúÏߣ¬¹Ê´í£®
¶ÔÓÚ£¨4£©Èçͼ£ºÉè×¼ÏßÓëxÖáµÄ½»µãΪK£¬¡ßA¡¢BÔÚÅ×ÎïÏßµÄ×¼ÏßÉϵÄÉäӰΪA1¡¢B1£¬
ÓÉÅ×ÎïÏߵĶ¨Òå¿ÉµÃ£¬AA1=AF£¬¡à¡ÏAA1F=¡ÏAFA1£¬ÓÖÓÉÄÚ´í½ÇÏàµÈµÃ¡ÏAA1F=¡ÏA1FK£¬
¡à¡ÏAFA1=¡ÏA1FK£®
ͬÀí¿ÉÖ¤¡ÏBFB1=¡ÏB1 FK£®   
ÓÉ¡ÏAFA1+¡ÏA1FK+¡ÏBFB1+¡ÏB1FK=180¡ã£¬
¡à¡ÏA1FK+¡ÏB1FK=¡ÏA1FB1=90¡ã£¬ÔòFA1¡ÍFB1£®ÕýÈ·£®
¹Ê´ð°¸Îª£º£¨2£©£¨4£©£®
µãÆÀ£º±¾Ð¡ÌâÖ÷Òª¿¼²éË«ÇúÏߵĶ¨Òå¡¢Å×ÎïÏߵĶ¨Òå¡¢ÒÔ¼°¼òµ¥ÐÔÖʵÄÓ¦Óá¢ÍÖÔ²µÄ¼òµ¥ÐÔÖʵȻù´¡ÖªÊ¶£¬¿¼²éÔËËãÇó½âÄÜÁ¦£¬¿¼²éÊýÐνáºÏ˼Ïë¡¢»¯¹éÓëת»¯Ë¼Ï룮ÊôÓÚ»ù´¡Ì⣮
Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÏÂÃæ¸ø³öËĸöÃüÌ⣺£¨1£©¶ÔÓÚʵÊýmºÍÏòÁ¿
a
¡¢
b
ºãÓУºm£¨
a
-
b
£©=m
a
-m
b
£»£¨2£©¶ÔÓÚʵÊým£¬nºÍÏòÁ¿
a
£¬ºãÓУº£¨m-n£©
a
=m
a
-n
a
£»£¨3£©Èôm
a
=m
b
£¨m¡ÊR£¬m¡Ù0£©£¬Ôò
a
=
b
£»£¨4£©Èôm
a
=n
a
£¨m£¬n¡ÊR£©£¬Ôòm=n£¬ÆäÖÐÕýÈ·ÃüÌâµÄ¸öÊýÊÇ£¨¡¡¡¡£©
A¡¢1B¡¢2C¡¢3D¡¢4

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

¸ø³öËĸöÃüÌ⣺
£¨1£©º¯ÊýÔÚ±ÕÇø¼ä[a£¬b]Éϵļ«´óÖµÒ»¶¨±È¼«Ð¡Öµ´ó
£¨2£©º¯ÊýÔÚ±ÕÇø¼ä[a£¬b]ÉϵÄ×î´óÖµÒ»¶¨ÊǼ«´óÖµ
£¨3£©¶ÔÓÚf£¨x£©=x3+px2+2x+1£¬Èô|p|£¼
6
£¬Ôòf£¨x£©ÎÞ¼«Öµ
£¨4£©º¯Êýf£¨x£©ÔÚÇø¼ä£¨a£¬b£©ÉÏÒ»¶¨²»´æÔÚ×îÖµ
ÆäÖÐÕýÈ·ÃüÌâµÄ¸öÊýÊÇ£¨¡¡¡¡£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£º½â´ðÌâ

¸ø³ö4¸öÃüÌ⣺
£¨1£©ÉèÍÖÔ²³¤Ö᳤¶ÈΪ2a£¨a£¾0£©£¬ÍÖÔ²ÉϵÄÒ»µãPµ½Ò»¸ö½¹µãµÄ¾àÀëÊÇÊýѧ¹«Ê½£¬Pµ½Ò»Ìõ×¼ÏߵľàÀëÊÇÊýѧ¹«Ê½£¬Ôò´ËÍÖÔ²µÄÀëÐÄÂÊΪÊýѧ¹«Ê½£®
£¨2£©ÈôÍÖÔ²Êýѧ¹«Ê½£¨a¡Ùb£¬ÇÒa£¬bΪÕýµÄ³£Êý£©µÄ×¼ÏßÉÏÈÎÒâÒ»µãµ½Á½½¹µãµÄ¾àÀë·Ö±ðΪd1£¬d2£¬Ôò|d12-d22|Ϊ¶¨Öµ£®
£¨3£©Èç¹ûƽÃæÄÚ¶¯µãMµ½¶¨Ö±ÏßlµÄ¾àÀëÓëMµ½¶¨µãFµÄ¾àÀëÖ®±È´óÓÚ1£¬ÄÇô¶¯µãMµÄ¹ì¼£ÊÇË«ÇúÏߣ®
£¨4£©¹ýÅ×ÎïÏß½¹µãFµÄÖ±ÏßÓëÅ×ÎïÏß½»ÓÚA¡¢BÁ½µã£¬ÈôA¡¢BÔÚÅ×ÎïÏß×¼ÏßÉϵÄÉäÓ°·Ö±ðΪA1¡¢B1£¬ÔòFA1¡ÍFB1£®
ÆäÖÐÕýÈ·ÃüÌâµÄÐòºÅÒÀ´ÎÊÇ________£®£¨°ÑÄãÈÏΪÕýÈ·µÄÃüÌâÐòºÅ¶¼ÌîÉÏ£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º2010-2011ѧÄêºþ±±Ê¡¾£ÖÝÖÐѧ¸ß¶þ£¨Ï£©ÆÚÖÐÊýѧÊÔ¾í£¨ÎÄ¿Æ£©£¨½âÎö°æ£© ÌâÐÍ£ºÌî¿ÕÌâ

¸ø³ö4¸öÃüÌ⣺
£¨1£©ÉèÍÖÔ²³¤Ö᳤¶ÈΪ2a£¨a£¾0£©£¬ÍÖÔ²ÉϵÄÒ»µãPµ½Ò»¸ö½¹µãµÄ¾àÀëÊÇ£¬Pµ½Ò»Ìõ×¼ÏߵľàÀëÊÇ£¬Ôò´ËÍÖÔ²µÄÀëÐÄÂÊΪ£®
£¨2£©ÈôÍÖÔ²£¨a¡Ùb£¬ÇÒa£¬bΪÕýµÄ³£Êý£©µÄ×¼ÏßÉÏÈÎÒâÒ»µãµ½Á½½¹µãµÄ¾àÀë·Ö±ðΪd1£¬d2£¬Ôò|d12-d22|Ϊ¶¨Öµ£®
£¨3£©Èç¹ûƽÃæÄÚ¶¯µãMµ½¶¨Ö±ÏßlµÄ¾àÀëÓëMµ½¶¨µãFµÄ¾àÀëÖ®±È´óÓÚ1£¬ÄÇô¶¯µãMµÄ¹ì¼£ÊÇË«ÇúÏߣ®
£¨4£©¹ýÅ×ÎïÏß½¹µãFµÄÖ±ÏßÓëÅ×ÎïÏß½»ÓÚA¡¢BÁ½µã£¬ÈôA¡¢BÔÚÅ×ÎïÏß×¼ÏßÉϵÄÉäÓ°·Ö±ðΪA1¡¢B1£¬ÔòFA1¡ÍFB1£®
ÆäÖÐÕýÈ·ÃüÌâµÄÐòºÅÒÀ´ÎÊÇ    £®£¨°ÑÄãÈÏΪÕýÈ·µÄÃüÌâÐòºÅ¶¼ÌîÉÏ£©

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸