ÎïÀí×÷ҵѧÉú°æ3[1] ÏÂÔØ±¾ÎÄ

4¡¢×Ô¸ÐΪ0.5HµÄÏßȦÖУ¬Í¨ÓÐI?4sin?tAµÄµçÁ÷£¬µ±t?74sʱ£¬ÏßȦÖÐ×Ô¸Ðµç¶¯ÊÆµÄ´óСºÍ·½ÏòΪ£º

£¨A£©2?V£¬ÓëµçÁ÷I·´Ïò£» £¨B£©22V£¬ÓëµçÁ÷I·´Ïò£»

£¨C£©22V£¬ÓëµçÁ÷IͬÏò£» £¨D£©2?V£¬ÓëµçÁ÷IͬÏò¡£ £¨ £© 5£®ÔÚÒ»×Ô¸ÐÏßȦÖÐͨ¹ýµÄµçÁ÷IËæÊ±¼ätµÄ±ä»¯¹æÂÉÈçͼ(a)Ëùʾ£¬ÈôÒÔIµÄÕýÁ÷Ïò×÷Ϊ??µÄÕý·½Ïò£¬Ôò´ú±íÏßȦÄÚ×Ô¸Ðµç¶¯ÊÆ??ËæÊ±¼ät±ä»¯¹æÂɵÄÇúÏßӦΪͼ(b)ÖÐ(A)¡¢(B)¡¢(C)¡¢(D)ÖеÄÄÄÒ»¸ö£¿ [ ]

?? ??(A) (B) 0 t 0 t I

(b) (a) 0 t ? (C) (D) ?

0 t t 0

6£® ÓÐÁ½¸öÏßȦ£¬ÏßȦ1¶ÔÏßȦ2µÄ»¥¸ÐϵÊýΪM21£¬¶øÏßȦ2¶ÔÏßȦ1µÄ»¥¸ÐϵÊýΪM12£®ÈôËüÃÇ·Ö±ðÁ÷¹ýi1ºÍi2µÄ±ä»¯µçÁ÷ÇÒ

di1di?2£¬²¢ÉèÓÉi2±ä»¯ÔÚÏßȦ1ÖвúÉúdtdtµÄ»¥¸Ðµç¶¯ÊÆÎª??12£¬ÓÉi1±ä»¯ÔÚÏßȦ2ÖвúÉúµÄ»¥¸Ðµç¶¯ÊÆÎª??21£¬ÅжÏÏÂÊöÄĸöÂÛ¶ÏÕý

È·£®

(A) M12 = M21£¬??21 =???12£® (B) M12¡ÙM21£¬??21 ¡Ù???12£® (C) M12 = M21£¬??21 >??12£®

(D) M12 = M21£¬??21

¶þ¡¢Ìî¿ÕÌ⣺

1¡¢°ë¾¶ÎªrµÄСµ¼Ïß»·£¬ÖÃÓڰ뾶ΪRµÄ´óµ¼Ïß»·ÖÐÐÄ£¬¶þÕßÔÚÍ¬Ò»Æ½ÃæÄÚ£¬ÇÒr??R£¬Èçͼ4£¬ÔÚ´óµ¼Ïß»·ÖÐͨÓÐÕýÏÒµçÁ÷I?I0sin?t£¬ÆäÖÐ?¡¢I0Ϊ³£Êý£¬tΪʱ¼ä£¬ÔòÈÎ

29

һʱ¿ÌСµ¼Ïß»·ÖиÐÓ¦µç¶¯ÊƵĴóСΪ ¡£

2¡¢Èçͼ5£¬aOcΪһÕÛ³É?ÐεĽðÊôµ¼Ïߣ¨aO?Oc?L£©£¬Î»ÓÚXYÆ½ÃæÖУ»´Å¸ÐÓ¦

??Ç¿¶ÈΪBµÄÔÈÇ¿´Å³¡´¹Ö±ÓÚXYÆ½Ãæ£¬µ±aOcÒÔËÙ¶ÈvÑØXÖáÕýÏòÔ˶¯Ê±£¬µ¼ÏßÉÏa¡¢

cÁ½µã¼äµçÊÆ²îUac? £»µ±aOcÒÔËÙ¶ÈvÑØYÖáÕýÏòÔ˶¯Ê±£¬a¡¢cÁ½µã

ÖÐ µãµçÊÆ¸ß¡£

?

ͼ4 ͼ5

3¡¢Ò»¸ö±¡±ÚֽͲ£¬³¤Îª30cm£¬½ØÃæÖ±¾¶Îª3cm£¬Í²ÉÏÈÆÓÐ500ÔÑÏßȦ£¬Ö½Í²ÄÚÓÉ?r?5000µÄÌúо³äÂú£¬ÔòÏßȦµÄ×Ô¸ÐϵÊýΪ ¡£

4. Õæ¿ÕÖÐÁ½Ö»³¤Ö±ÂÝÏß¹Ü1ºÍ2£¬³¤¶ÈÏàµÈ£¬µ¥²ãÃÜÈÆÔÑÊýÏàͬ£¬Ö±¾¶Ö®±Èd1 / d2 =1/4£®µ±ËüÃÇͨÒÔÏàͬµçÁ÷ʱ£¬Á½ÂÝÏß¹ÜÖü´æµÄ´ÅÄÜ֮ΪW1 / W2= __£®

Èý¡¢¼ÆËãÌ⣺

1¡¢ÈçͼËùʾ£¬³¤Ö±µ¼ÏßÖеçÁ÷ΪI£¬¾ØÐε¼Ïß¿òabcdÓëÖ±µ¼Ïß¹²Ã棬ÇÒad//AB£¬dc±ß¹Ì¶¨£¬ab±ßÑØda¼°cdÒÔËÙ¶ÈvÎÞĦ²ÁµØÔÈËÙÆ½¶¯£¬ÉèÏß¿ò×ԸкöÂÔ²»¼Æ£¬t?0ʱ£¬

?ab±ßÓëdc±ßÖØºÏ¡£

£¨1£©ÈôI?I0£¬I0Ϊ³£Á¿£¬ÇóabÖеĸÐÓ¦µç¶¯ÊÆ£¬abÁ½µãÄĵãµçÊÆ¸ß£¿ £¨2£©ÈôI?I0cos?t£¬ÇóÏß¿òÖеÄ×ܸÐÓ¦µç¶¯ÊÆ¡£

2¡¢Ò»³¤Ô²Öù×´´Å³¡£¬´Å³¡·½ÏòÑØÖáÏß²¢´¹Ö±Í¼ÃæÏòÀ´Å³¡´óС¼ÈËæµ½ÖáÏߵľàÀër³ÉÕý±È¶ø±ä»¯£¬ÓÖËæÊ±¼ät×÷ÕýÏұ仯£¬¼´£ºB?B0rsin?t£¬B0¡¢?¾ùΪÕý³£Êý£¬ÈôÔڴų¡ÄÚ·ÅÒ»°ë¾¶ÎªaµÄ½ðÊôÔ²»·£¬»·ÐÄÔÚÔ²Öù×´´Å³¡µÄÖáÏßÉÏ£¬Çó½ðÊô»·ÖеĸÐÉúµç¶¯

30

ÊÆ¡£

3¡¢Ò»ÎÞÏÞ³¤Ö±µ¼ÏßͨÓеçÁ÷I?I0e?3t£¬I0Ϊ³£Êý£¬Ò»¶ÌÐÎÏßȦÓ볤ֱµ¼Ïß¹²Ãæ·ÅÖã¬Æä³¤±ßÓëµ¼Ï߯½ÐУ¬Î»ÖÃÈçͼËùʾ¡£Çó£º

£¨1£©¾ØÐÎÏßȦÖиÐÓ¦µç¶¯ÊƵĴóС¼°¸ÐÓ¦µçÁ÷µÄ·½Ïò£»£¨2£©µ¼ÏßÓëÏßȦµÄ»¥¸ÐϵÊý¡£

4¡¢½ØÃæÎª¾ØÐεÄÂÝÈÆ»·¹²NÔÑ£¬³ß´çÈçͼËùʾ¡£Í¼Ï°벿Á½¾ØÐαíʾÂÝÈÆ»·µÄ½ØÃ棬ÔÚÂÝÈÆ»·µÄÖáÏßÉÏÁíÓÐÒ»ÎÞÏÞ³¤Ö±µ¼Ïß¡£ £¨1£©ÇóÂÝÈÆ»·µÄ×Ô¸ÐϵÊý£»£¨2£©Çó³¤Ö±µ¼ÏߺÍÂÝÈÆ»·µÄ»¥¸ÐϵÊý£» £¨3£©ÈôÔÚÂÝÈÆ»·ÄÚͨÒÔÎȺãµçÁ÷I£¬ÇóÂÝÈÆ»·ÄÚ´¢´æµÄ´ÅÄÜ¡£

31