Èçͼ£¬ÔÚÆ½ÃæÖ±½Ç×ø±êϵÖУ¬ËıßÐÎABCOÊÇÌÝÐΣ¬ÆäÖÐA£¨6£¬0£©£¬B£¨3£¬
3
£©£¬C£¨1£¬
3
£©£¬¶¯µãP´ÓµãOÒÔÿÃë2¸öµ¥Î»µÄËÙ¶ÈÏòµãAÔ˶¯£¬¶¯µãQҲͬʱ´ÓµãBÑØB¡úC¡úOµÄÏß·Ô˶¯£¬Ô˶¯ËÙ¶ÈΪÿÃë1¸öµ¥Î»£¬µ±µãPµ½´ïAµãʱ£¬µãQÒ²ËæÖ®Í£Ö¹£¬ÉèµãP¡¢QÔ˶¯µÄʱ¼äΪt£¨Ã룩£®
£¨1£©¾­¹ýA¡¢B¡¢CÈýµãµÄÅ×ÎïÏߵĽâÎöʽµÄ¶Ô³ÆÖáΪ
 
£®
£¨2£©Éè¾­¹ýA¡¢B¡¢CÈýµãµÄÅ×ÎïÏߵĶԳÆÖáÓëÖ±ÏßOBµÄ½»µãΪM£¬Ïß¶ÎPQÊÇ·ñÄܾ­¹ýµãM£¿ÈôÄÜÇëÇó³ötµÄÖµ£¨»òtµÄȡֵ·¶Î§£©£¬Èô²»ÄÜ£¬Çë˵Ã÷ÀíÓÉ£®
£¨3£©µ±QÔÚBCÉÏÔ˶¯Ê±£¬ÒÔÏß¶ÎPQΪֱ¾¶µÄÔ²ÄÜ·ñÓëÖ±ÏßABÏàÇУ¿ÈôÄÜÇëÇó³ötµÄÖµ£¬Èô²»ÄÜ£¬Çë˵Ã÷ÀíÓÉ£®
¿¼µã£º¶þ´Îº¯Êý×ÛºÏÌâ
רÌ⣺
·ÖÎö£º£¨1£©¸ù¾ÝÅ×ÎïÏß¾­¹ýµÄB¡¢CµãµÄ×ø±êÇóµÃ¶Ô³ÆÖá¼´¿É£»
£¨2£©Èçͼ1£¬¸ù¾Ý¡÷BGM¡×¡÷OHM£¬G£¨2£¬
3
£©£¬H£¨2£¬0£©ºÍBG=1£¬OH=2£¬µÃµ½
BG
OH
=
BM
OM
=
1
2
£¬È»ºó¸ù¾Ý¡÷BQN¡×¡÷OPN£¬QB=t£¬OP=2tµÃµ½
BQ
OP
=
BN
ON
=
1
2
£¬´Ó¶øµÃµ½
BM
OM
=
BN
ON
£¬¼´µãNÓëµãMÖØºÏ£»
£¨3£©Èçͼ2£¬¹ýÔ²ÐÄN×÷NE¡ÎxÖᣬ¸ù¾Ý¡ÑNÇÐABÓÚD£¬ABÓëxÖá¼Ð½ÇΪ30¡ã£¬µÃµ½¡÷ENDΪ30¡ã½ÇµÄÖ±½ÇÈý½ÇÐΣ¬ÉèP£¨2t£¬0£©£¬Q£¨3-t£¬
3
£©£¬
ÀûÓù´¹É¶¨ÀíµÃµ½PQ2=[3£¨1-t£©]2+£¨
3
£©2£¬È»ºóµÃµ½NE2=PQ2´Ó¶øµÃµ½[
1
2
£¨6-t£©]2=[3£¨1-t£©]2+£¨
3
£©2£¬½â·½³Ì¼´¿ÉÇóµÃtÖµ£®
½â´ð£º½â£º£¨1£©¡ßÅ×ÎïÏß¹ýµãB£¨3£¬
3
£©£¬C£¨1£¬
3
£©£¬
¡à¶Ô³ÆÖáΪֱÏßx=
3+1
2
=2£» 
£¨2£©¡ßÈçͼ1£¬¡÷BGM¡×¡÷OHM£¬G£¨2£¬
3
£©£¬H£¨2£¬0£©£¬
¡àBG=1£¬OH=2£¬
¡à
BG
OH
=
BM
OM
=
1
2
£¬
ÉèPQ½»OBÓÚµãN£¬
ÓÖ¡ß¡÷BQN¡×¡÷OPN£¬QB=t£¬OP=2t£¬
¡à
BQ
OP
=
BN
ON
=
1
2
£¬
¡à
BM
OM
=
BN
ON
£¬¼´µãNÓëµãMÖØºÏ£®´Ëʱ0£¼t£¼2£»

£¨3£©Èçͼ2£¬¹ýÔ²ÐÄN×÷NE¡ÎxÖᣬ
¡ß¡ÑNÇÐABÓÚD£¬ABÓëxÖá¼Ð½ÇΪ30¡ã£¬
¡à¡÷ENDΪ30¡ã½ÇµÄÖ±½ÇÈý½ÇÐΣ¬
¡àNE=2ND£¬
¡ßPQ=2ND£¬
¡àNE=PQ£¬
ÉèP£¨2t£¬0£©£¬Q£¨3-t£¬
3
£©£¬
¡àPQ2=[3£¨1-t£©]2+£¨
3
£©2£¬
¡ßNEΪÌÝÐÎABQPµÄÖÐλÏߣ¬
¡àNE=
1
2
£¨BQ+AP£©=
1
2
£¨6-t£©£¬
¡ßNE=PQ£¬
¡àNE2=PQ2
¡à[
1
2
£¨6-t£©]2=[3£¨1-t£©]2+£¨
3
£©2£¬
½âµÃ£ºt=
30¡À4
30
35
£®
µãÆÀ£º±¾Ì⿼²éÁ˶þ´Îº¯ÊýµÄ×ÛºÏ֪ʶ£¬ÌâÄ¿ÖÐÉæ¼°Á˺¬30¡ã½ÇµÄÖ±½ÇÈý½ÇÐΣ¬¹´¹É¶¨Àí£¬ÌÝÐεÄÐÔÖÊ£¬×ø±êÓëͼÐεÄÐÔÖʵÄÓ¦Óã¬Ö÷Òª¿¼²éѧÉúµÄÍÆÀíºÍ¼ÆËãÄÜÁ¦£¬ÌâÄ¿×ÛºÏÐԱȽÏÇ¿£¬ÓÐÒ»¶¨µÄÄѶȣ®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÒÑÖª|2014-a|+
a-2015
=a£¬Çó£¨a-2014£©2µÄÖµ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

Èçͼ£¬ÔÚ¾ØÐÎABCDÖУ¬¶Ô½ÇÏßBDµÄ´¹Ö±Æ½·ÖÏßMNÓëADÏཻÓÚµãM£¬ÓëBDÏཻÓÚµãO£¬ÓëBCÏཻÓÚN£¬Á¬½ÓMN£¬DN£®
£¨1£©ÇóÖ¤£ºËıßÐÎBMDNÊÇÁâÐΣ»
£¨2£©ÈôAB=6£¬BC=8£¬ÇóMDµÄ³¤£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

Èçͼ£¬ÓÉÏÂÁÐʵÑé¿ÉµÃ£¨¡¡¡¡£©
A¡¢·½³ÌÁ½±ß¶¼¼ÓÉÏ»ò¶¼¼õȥͬһ¸öÊý»òͬһ¸öÕûʽ£¬·½³ÌµÄ½â²»±ä
B¡¢·½³ÌÁ½±ß¶¼³ËÒÔ»ò¶¼³ýÒÔͬһ¸ö²»ÎªÁãµÄÊý£¬·½³ÌµÄ½â²»±ä
C¡¢²»µÈʽµÄÁ½±ß¶¼¼ÓÉÏ£¨»ò¼õÈ¥£©Í¬Ò»¸öÊý»òͬһ¸öÕûʽ£¬²»µÈʽµÄ·½Ïò²»±ä
D¡¢²»µÈʽµÄÁ½±ß¶¼³ËÒÔ£¨»ò³ýÒÔ£©Í¬Ò»¸ö²»ÎªÁãµÄÊý£¬²»µÈºÅµÄ·½Ïò¸Ä±ä

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÒÑÖªËıßÐεÄËÄÌõ±ßºÍÁ½Ìõ¶Ô½ÇÏßÕâÁùÌõÏß¶ÎÖÐÖ»ÓÐÁ½ÖÖ³¤¶È£¬ÔòÕâ¸öËıßÐεÄ×î´óÄÚ½ÇΪ
 
£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

Èçͼ1£¬ÒÑ֪˫ÇúÏßy1=
k
x
£¨k£¾0£©ÓëÖ±Ïßy2=k'x½»ÓÚA£¬BÁ½µã£¬µãAÔÚµÚÒ»ÏóÏÞ£®ÊÔ½â´ðÏÂÁÐÎÊÌ⣺

£¨1£©ÈôµãAµÄ×ø±êΪ£¨4£¬2£©£¬ÔòµãBµÄ×ø±êΪ
 
£» µ±xÂú×ã
 
ʱ£¬y1£¾y2£»µ±y1£¼2ʱ£¬xµÄȡֵ·¶Î§Îª
 
£»µ±x£¾-4ʱ£¬y2µÄȡֵ·¶Î§Îª
 
£®
£¨2£©¹ýÔ­µãO×÷ÁíÒ»ÌõÖ±Ïßl£¬½»Ë«ÇúÏßy=
k
x
£¨k£¾0£©ÓÚP£¬QÁ½µã£¬µãPÔÚµÚÒ»ÏóÏÞ£¬Èçͼ2Ëùʾ£®
¢ÙËıßÐÎAPBQÒ»¶¨ÊÇ
 
£»
¢ÚÈôµãAµÄ×ø±êΪ£¨4£¬2£©£¬Ôòµã×ø±êΪ£¨3£¬1£©µãPµÄºá×ø±êΪ1£¬ÇóËıßÐÎAPBQµÄÃæ»ý£»
¢ÛÉèµãA¡¢PµÄºá×ø±ê·Ö±ðΪm¡¢nËıßÐÎAPBQ¿ÉÄÜÊǾØÐÎÂð£¿Èô¿ÉÄÜ£¬Çóm£¬nÓ¦Âú×ãµÄÌõ¼þ£»Èô²»¿ÉÄÜ£¬Çë˵Ã÷ÀíÓÉ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÔÚ¡÷ABCÖУ¬A£¨-n£¬n£©£¬nÂú×ã¹ØÓÚxµÄ·½³Ìx2-8x+4n=0ÓÐÁ½¸öÏàµÈµÄʵ¸ù£¬A¡¢C¹ØÓÚÔ­µã¶Ô³Æ£¬C¡¢B¹ØÓÚxÖá¶Ô³Æ£®
£¨1£©µãDΪÏß¶ÎABÉÏÒ»¶¯µã£¬DBµÄ´¹Ö±Æ½·ÖÏß½»ACÓÚE£¬¹ýµãE×÷Ö±ÏßL´¹Ö±DE£¬ÔÚÖ±ÏßLÉÏÊÇ·ñ´æÔÚ¶¨µãFÂú×ãFE=DE£¿Èô´æÔÚ£¬Çó³öFµÄ×ø±ê£»Èô²»´æÔÚ£¬ËµÃ÷ÀíÓÉ£®
£¨2£©ÉèAB½»yÖáÓÚG£¬×÷CH¡ÎAB½»yÖáÓÚH£¬PΪֱÏßBCÉÏÒ»µã£¬Ö±ÏßPG½»Ö±ÏßACÓÚQ£¬Á¬½ÓQH£¬ÇóÖ¤£º¡ÏQHG=¡ÏGHP£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÈçͼÊÇÈË×ÖÐͽðÊôÎݼܵÄʾÒâͼ£¬¸ÃÎݼÜÓÉBC¡¢AC¡¢BA¡¢ADËĶνðÊô²ÄÁϺ¸½Ó¶ø³É£¬ÆäÖÐA¡¢B¡¢C¡¢DËĵã¾ùΪº¸½Óµã£¬ÇÒAB=AC£¬DΪBCµÄÖе㣬¼ÙÉ躸½ÓËùÐèµÄËĶνðÊô²ÄÁÏÒѽغ㬲¢Òѱê³öBC¶ÎµÄÖеãD£¬ÄÇô£¬Èç¹ûº¸½Ó¹¤Éí±ßÖ»ÓпɼìÑéÖ±½ÇµÄ½Ç³ß£¬¶øÓÖΪÁË׼ȷ¿ìËٵغ¸½Ó£¬ËûÓ¦¸ÃÊ×ÏÈѡȡµÄÁ½¶Î½ðÊô²ÄÁϼ°º¸½ÓµãÊÇ£¨¡¡¡¡£©
A¡¢ADºÍBC£¬µãD
B¡¢ABºÍAC£¬µãA
C¡¢ACºÍBC£¬µãC
D¡¢ABºÍAD£¬µãA

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

Èçͼ£¬ÓÐÁ½¸ö³¤¶ÈÏàͬµÄ»¬ÌÝ£¨¼´BC=EF£©£¬×ó±ß»¬Ìݵĸ߶ÈACÓëÓұ߻¬ÌÝˮƽ·½ÏòµÄ³¤¶ÈDFÏàµÈ£¬Ôò¡ÏB+¡ÏF=
 
¡ã£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸