ÈçͼËùʾΪ¡°ÑéÖ¤¶¯Á¿Êغ㶨ÂÉ¡±µÄʵÑé×°Öã®

¾«Ó¢¼Ò½ÌÍø

£¨1£©ÏÂÁÐ˵·¨ÖзûºÏ±¾ÊµÑéÒªÇóµÄÊÇ______£®£¨Ñ¡ÌîÑ¡ÏîÇ°ÃæµÄ×Öĸ£©
A£®ÈëÉäÇò±È°ÐÇòÖÊÁ¿´ó»òÕßС¾ù¿É£¬µ«¶þÕßµÄÖ±¾¶±ØÐëÏàͬ
B£®ÔÚͬһ×éʵÑéµÄ²»Í¬ÅöײÖУ¬Ã¿´ÎÈëÉäÇò±ØÐë´Óͬһ¸ß¶ÈÓɾ²Ö¹ÊÍ·Å
C£®°²×°¹ìµÀʱ£¬¹ìµÀÄ©¶Ë±ØÐëˮƽ
D£®ÐèҪʹÓõIJâÁ¿ÒÇÆ÷ÓÐÌìƽ¡¢¿Ì¶È³ßºÍÃë±í
£¨2£©ÊµÑéÖмǼÁ˹ìµÀÄ©¶ËÔڼǼֽÉϵÄÊúֱͶӰΪOµã£¬¾­¶à´ÎÊÍ·ÅÈëÉäÇò£¬ÔڼǼֽÉÏÕÒµ½ÁËÁ½Çòƽ¾ùÂäµãλÖÃΪM¡¢P¡¢N£¬²¢²âµÃËüÃǵ½OµãµÄ¾àÀë·Ö±ðΪOM¡¢OPºÍON£®ÒÑÖªÈëÉäÇòµÄÖÊÁ¿Îªm1£¬°ÐÇòµÄÖÊÁ¿Îªm2£¬Èç¹û²âµÃm1?
.
OM
+m2?
.
ON
½üËƵÈÓÚ______£¬ÔòÈÏΪ³É¹¦ÑéÖ¤ÁËÅöײÖеĶ¯Á¿Êغ㣮Èô²âµÃ
.
OM
+
.
OP
½üËƵÈÓÚ______£¬ÔòÈÏΪÔÚÅöײǰºóÄÜÁ¿Êغ㣮
£¨1£©A¡¢ÔÚСÇòÅöײ¹ý³ÌÖÐˮƽ·½Ïò¶¯Á¿Êغ㶨ÂɹÊÓÐm1v0=m1v1+m2v2
ÔÚÅöײ¹ý³ÌÖж¯ÄÜÊغã¹ÊÓÐ
1
2
m1v02=
1
2
m1v12+
1
2
m2v22
½âµÃv1=
m1-m2
m1+m2
v0
 

ÒªÅöºóÈëÉäСÇòµÄËÙ¶Èv1£¾0£¬¼´m1-m2£¾0£¬¼´ÈëÉäÇòÒª±È°ÐÇòÖÊÁ¿´ó£¬
Òª·¢Éúˮƽ·½ÏòµÄ¶ÔÐÄÅöײ£¬¹Ê¶þÕßµÄÖ±¾¶±ØÐëÏàͬ
¹Ê´ð°¸A´íÎó£®
B¡¢ÔÚͬһ×éµÄʵÑéÖÐÒª±£Ö¤ÈëÉäÇòºÍ°ÐÇòÿ´ÎƽÅ×µÄËٶȶ¼Ïàͬ£¬¹Êÿ´ÎÈëÉäÇò±ØÐë´Óͬһ¸ß¶ÈÓɾ²Ö¹ÊÍ·Å£®¹ÊBÕýÈ·£®
C¡¢Òª±£Ö¤Ã¿´ÎСÇò¶¼×öƽÅ×Ô˶¯£¬Ôò¹ìµÀµÄÄ©¶Ë±ØÐëˮƽ£®¹ÊCÕýÈ·£®
D¡¢±¾ÊµÑé²»ÐèÒª²âСÇòƽÅ×Ô˶¯µÄËٶȣ¬¹Ê²»ÐèÒª²âÔ˶¯µÄʱ¼ä£¬ËùÒÔ²»ÐèÒªÃë±í£®¹ÊD´íÎó£®
¹ÊÑ¡BC£®
£¨2£©ÔÚСÇòÅöײ¹ý³ÌÖÐˮƽ·½Ïò¶¯Á¿Êغ㶨ÂɹÊÓÐm1v0=m1v1+m2v2
¼´ÓÐm1v0t=m1v1t+m2v2t
¹ÊÓÐm1
.
OP
=m1
.
OM
+m2
.
ON

¹Ê´ð°¸Îªm1
.
OP
      
ÈôÔÚÅöײ¹ý³ÌÖж¯ÄÜÊغãÔòÓÐ
1
2
m1v02=
1
2
m1v12+
1
2
m2v22
¼´
1
2
m1 
.
OP
2
=
1
2
m1
.
OM
2
+
1
2
m2
.
ON
2

ÓÖÓÉÓÚm1
.
OP
=m1
.
OM
+m2
.
ON

ÁªÁ¢ÒÔÉÏÁ½Ê½¿ÉµÃ
.
OM
+
.
OP
=
.
ON

¹Ê´ð°¸Îª
.
ON

¹Ê±¾ÌâµÄ´ð°¸Îª£º£¨1£©BC
£¨2£©m1
.
OP
£¬
.
ON
£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

ÈçͼËùʾΪÑéÖ¤¶¯Á¿ÊغãµÄʵÑé×°ÖÃʾÒâͼ£®
£¨1£©ÈôÈëÉäСÇòÖÊÁ¿Îªm1£¬°ë¾¶Îªr1£»±»ÅöСÇòÖÊÁ¿Îªm2£¬°ë¾¶Îªr2Ôò
C
C

A£®m1£¾m2£¬r1£¾r2                  B£®m1£¾m2£¬r1£¼r2
C£®m1£¾m2£¬r1=r2                  D£®m1£¼m2£¬r1=r2
£¨2£©ÎªÍê³É´ËʵÑ飬ÒÔÏÂËùÌṩµÄ²âÁ¿¹¤¾ßÖбØÐèµÄÊÇ
AC
AC
£®£¨ÌîÏÂÁжÔÓ¦µÄ×Öĸ£©
A£®Ö±³ß      B£®Óα꿨³ß         C£®Ììƽ          D£®µ¯»É³Ó          E£®Ãë±í
£¨3£©ÉèÈëÉäСÇòµÄÖÊÁ¿Îªm1£¬±»ÅöСÇòµÄÖÊÁ¿Îªm2£¬PΪÅöÇ°ÈëÉäСÇòÂäµãµÄƽ¾ùλÖã¬Ôò¹Øϵʽ£¨ÓÃm1¡¢m2¼°Í¼ÖÐ×Öĸ±íʾ£©
m1
.
OP
=m1
.
OM
+m2
.
ON
m1
.
OP
=m1
.
OM
+m2
.
ON
³ÉÁ¢£¬¼´±íʾÅöײÖж¯Á¿Êغ㣮

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

ÈçͼËùʾΪ¡°ÑéÖ¤¶¯Á¿Êغ㶨ÂÉ¡±µÄʵÑé×°Öã®

£¨1£©ÏÂÁÐ˵·¨ÖзûºÏ±¾ÊµÑéÒªÇóµÄÊÇ
BC
BC
£®£¨Ñ¡ÌîÑ¡ÏîÇ°ÃæµÄ×Öĸ£©
A£®ÈëÉäÇò±È°ÐÇòÖÊÁ¿´ó»òÕßС¾ù¿É£¬µ«¶þÕßµÄÖ±¾¶±ØÐëÏàͬ
B£®ÔÚͬһ×éʵÑéµÄ²»Í¬ÅöײÖУ¬Ã¿´ÎÈëÉäÇò±ØÐë´Óͬһ¸ß¶ÈÓɾ²Ö¹ÊÍ·Å
C£®°²×°¹ìµÀʱ£¬¹ìµÀÄ©¶Ë±ØÐëˮƽ
D£®ÐèҪʹÓõIJâÁ¿ÒÇÆ÷ÓÐÌìƽ¡¢¿Ì¶È³ßºÍÃë±í
£¨2£©ÊµÑéÖмǼÁ˹ìµÀÄ©¶ËÔڼǼֽÉϵÄÊúֱͶӰΪOµã£¬¾­¶à´ÎÊÍ·ÅÈëÉäÇò£¬ÔڼǼֽÉÏÕÒµ½ÁËÁ½Çòƽ¾ùÂäµãλÖÃΪM¡¢P¡¢N£¬²¢²âµÃËüÃǵ½OµãµÄ¾àÀë·Ö±ðΪOM¡¢OPºÍON£®ÒÑÖªÈëÉäÇòµÄÖÊÁ¿Îªm1£¬°ÐÇòµÄÖÊÁ¿Îªm2£¬Èç¹û²âµÃm1?
.
OM
+m2?
.
ON
½üËƵÈÓÚ
m1
.
OP
m1
.
OP
£¬ÔòÈÏΪ³É¹¦ÑéÖ¤ÁËÅöײÖеĶ¯Á¿Êغ㣮Èô²âµÃ
.
OM
+
.
OP
½üËƵÈÓÚ
.
ON
.
ON
£¬ÔòÈÏΪÔÚÅöײǰºóÄÜÁ¿Êغ㣮

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

ÈçͼËùʾΪ¡°ÑéÖ¤¶¯Á¿Êغ㶨ÂÉ¡±ÊµÑéµÄ×°Öã¬ÒÑÖªÈëÉäÇòaµÄÖÊÁ¿Îªm1£¬±»ÅöÇòb
µÄÖÊÁ¿Îªm2£¬Ð¡ÇòµÄ°ë¾¶ÎªÎªrÁ½Ð¡ÇòÅöÇ°ºÍÅöºóµÄÂäµØµã·Ö±ðÔÚ
M¡¢P¡¢NÈý¸öλÖã¬OµãΪˮƽб²ÛÄ©¶ËÔÚµØÃæµÄͶӰ£®
£¨1£©ÏÂÁйØÓÚÕâ¸öʵÑé²Ù×÷ֹȷµÄÊÇ
AC
AC

A£®Ð±²ÛÄ©¶ËÓ¦µ÷Õûµ½Ë®Æ½
B£®ÈÃÈëÉäÇòÓë±»ÅöÇòÁ¬Ðø10´ÎÏàÅö£¬Ã¿´Î¶¼ÒªÊ¹ÈëÉäСÇò´Óб²ÛÉϲ»Í¬µÄλÖùöÏÂ
C£®ÈëÉäСÇòµÄÖÊÁ¿Ò»¶¨Òª´óÓÚ±»ÅöСÇòµÄÖÊÁ¿£¬ÕâÑù»á¼õÉÙϵͳÎó²î
D£®Ð±²ÛÒ»¶¨Òª¹â»¬µÄ£¬´Ö²ÚбÃæ»áÔì³ÉºÜ´óÎó²î
£¨2£©Ä³Í¬Ñ§ÔÚʵÑéÖУ¬ÒÑÖªÈëÉäСÇòaÖÊÁ¿´óÓÚ±»ÅöСÇòbµÄÖÊÁ¿£¬²¢²âÁ¿³öOM¡¢OP£¬ONÈý¶ÎƽÅ×µÄˮƽ¾àÀ룬ÄÇôϵͳÅöÇ°µÄ¶¯Á¿ÊÇ
m1¡ÁOP
m1¡ÁOP
£»ÅöºóϵͳµÄ¶¯Á¿ÊÇ
m1¡ÁOM+m2¡ÁON
m1¡ÁOM+m2¡ÁON
£»Èç¹ûËüÃÇÍùʵÑéÎó²îÏàµÈ£¬ËµÃ÷Åöײ¹ý³Ìϵͳ¶¯Á¿Êغ㣮

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

ÈçͼËùʾΪ¡°ÑéÖ¤¶¯Á¿Êغ㶨ÂÉ¡±µÄʵÑé×°Öá£

(1)ÏÂÁÐ˵·¨ÖзûºÏ±¾ÊµÑéÒªÇóµÄÊÇ       ¡££¨Ñ¡ÌîÑ¡ÏîÇ°ÃæµÄ×Öĸ£©

A£®ÈëÉäÇò±È°ÐÇòÖÊÁ¿´ó»òÕßС¾ù¿É£¬µ«¶þÕßµÄÖ±¾¶±ØÐëÏàͬ

B£®ÔÚͬһ×éʵÑéµÄ²»Í¬ÅöײÖУ¬Ã¿´ÎÈëÉäÇò±ØÐë´Óͬһ¸ß¶ÈÓɾ²Ö¹ÊÍ·Å

C£®°²×°¹ìµÀʱ£¬¹ìµÀÄ©¶Ë±ØÐëˮƽ

D£®ÐèҪʹÓõIJâÁ¿ÒÇÆ÷ÓÐÌìƽ¡¢¿Ì¶È³ßºÍÃë±í

(2)ʵÑéÖмǼÁ˹ìµÀÄ©¶ËÔڼǼֽÉϵÄÊúֱͶӰΪOµã£¬¾­¶à´ÎÊÍ·ÅÈëÉäÇò£¬ÔڼǼֽÉÏÕÒµ½ÁËÁ½Çòƽ¾ùÂäµãλÖÃΪM¡¢P¡¢N£¬²¢²âµÃËüÃǵ½OµãµÄ¾àÀë·Ö±ðΪOM¡¢OPºÍON¡£ÒÑÖªÈëÉäÇòµÄÖÊÁ¿Îªm1£¬°ÐÇòµÄÖÊÁ¿Îªm2£¬Èç¹û²âµÃ½üËƵÈÓÚ      £¬ÔòÈÏΪ³É¹¦ÑéÖ¤ÁËÅöײÖеĶ¯Á¿Êغ㡣

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º2010-2011ѧÄê±±¾©Êзą́Çø¸ßÈýµÚһѧÆÚÆÚÄ©¿¼ÊÔÎïÀíÊÔ¾í ÌâÐÍ£ºÌî¿ÕÌâ

ÈçͼËùʾΪ¡°ÑéÖ¤¶¯Á¿Êغ㶨ÂÉ¡±µÄʵÑé×°Öá£

(1)ÏÂÁÐ˵·¨ÖзûºÏ±¾ÊµÑéÒªÇóµÄÊÇ       ¡££¨Ñ¡ÌîÑ¡ÏîÇ°ÃæµÄ×Öĸ£©

A£®ÈëÉäÇò±È°ÐÇòÖÊÁ¿´ó»òÕßС¾ù¿É£¬µ«¶þÕßµÄÖ±¾¶±ØÐëÏàͬ

B£®ÔÚͬһ×éʵÑéµÄ²»Í¬ÅöײÖУ¬Ã¿´ÎÈëÉäÇò±ØÐë´Óͬһ¸ß¶ÈÓɾ²Ö¹ÊÍ·Å

C£®°²×°¹ìµÀʱ£¬¹ìµÀÄ©¶Ë±ØÐëˮƽ

D£®ÐèҪʹÓõIJâÁ¿ÒÇÆ÷ÓÐÌìƽ¡¢¿Ì¶È³ßºÍÃë±í

(2)ʵÑéÖмǼÁ˹ìµÀÄ©¶ËÔڼǼֽÉϵÄÊúֱͶӰΪOµã£¬¾­¶à´ÎÊÍ·ÅÈëÉäÇò£¬ÔڼǼֽÉÏÕÒµ½ÁËÁ½Çòƽ¾ùÂäµãλÖÃΪM¡¢P¡¢N£¬²¢²âµÃËüÃǵ½OµãµÄ¾àÀë·Ö±ðΪOM¡¢OPºÍON¡£ÒÑÖªÈëÉäÇòµÄÖÊÁ¿Îªm1£¬°ÐÇòµÄÖÊÁ¿Îªm2£¬Èç¹û²âµÃ½üËƵÈÓÚ      £¬ÔòÈÏΪ³É¹¦ÑéÖ¤ÁËÅöײÖеĶ¯Á¿Êغ㡣

 

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸