Question

1£®ÈçͼËùʾ£¬´øÕýµçµÄÁ£×ÓÒÔÒ»¶¨µÄ³õËÙ¶Èv₀ÑØÁ½°åµÄÖÐÏß½øÈëˮƽ·ÅÖõÄƽÐнðÊô°åÄÚ£¬Ç¡ºÃÑØÏ°åµÄ±ßÔµ·É³ö£¬ÒÑÖª°å³¤ÎªL£¬°å¼äµÄ¾àÀëΪd£¬°å¼äµçѹΪU£¬´øµçÁ£×ӵĵçºÉÁ¿Îªq£¬Á£×Óͨ¹ýƽÐнðÊô°åµÄʱ¼äΪt£¬£¨²»¼ÆÁ£×ÓµÄÖØÁ¦£©£¬Ôò£¨¡¡¡¡£©

• A£® ÔÚÇ°$\frac{t}{2}$ʱ¼äÄÚ£¬µç³¡Á¦¶ÔÁ£×Ó×öµÄ¹¦Îª$\frac{{U}_{q}}{4}$
• B£® ÔÚºó$\frac{t}{2}$ʱ¼äÄÚ£¬µç³¡Á¦¶ÔÁ£×Ó×öµÄ¹¦Îª$\frac{3{U}_{q}}{8}$
• C£® ÔÚÁ£×ÓÏÂÂäÇ°$\frac{d}{4}$ºÍºó$\frac{d}{4}$µÄ¹ý³ÌÖУ¬µç³¡Á¦×ö¹¦Ö®±ÈΪ1£º2
• D£® ÔÚÁ£×ÓÏÂÂäÇ°$\frac{d}{4}$ºÍºó$\frac{d}{4}$µÄ¹ý³ÌÖУ¬µç³¡Á¦×ö¹¦Ö®±ÈΪ2£º1

Answer 1

·ÖÎö ´øÕýµçµÄÁ£×Ó½øÈëˮƽ·ÅÖõÄƽÐнðÊô°åÄÚ£¬×öÀàƽÅ×Ô˶¯£¬ÊúÖ±·½Ïò×ö³õËÙ¶ÈΪ0µÄÔȼÓËÙÔ˶¯£¬ÓÉÍÆÂÛ¿ÉÇó³öÔÚÇ°$\frac{t}{2}$ʱ¼äÄÚºÍÔÚºó$\frac{t}{2}$ʱ¼äÄÚÊúֱλÒÆÖ®±È£¬Óɶ¯Äܶ¨ÀíÇó³öµç³¡Á¦×ö¹¦£®Á£×ÓÔÚÏÂÂäÇ°$\frac{d}{4}$ºÍºó$\frac{d}{4}$ÄÚ£¬µç³¡Á¦×ö¹¦Ïàͬ£®

½â´ð ½â£ºA¡¢B¡¢ÉèÁ£×ÓÔÚÇ°$\frac{t}{2}$ ʱ¼äÄÚºÍÔÚºó$\frac{t}{2}$ʱ¼äÄÚÊúֱλÒÆ·Ö±ðΪy₁¡¢y₂£¬ÓÉy=$\frac{1}{2}$at²ºÍÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¿ÉÖªy₁£ºy₂=1£º3£¬
µÃ£ºy₁=$\frac{1}{8}$d£¬y₂=$\frac{3}{8}$d£¬
ÔòÔÚÇ°$\frac{t}{2}$ʱ¼äÄÚ£¬µç³¡Á¦¶ÔÁ£×Ó×öµÄ¹¦Îª£ºW₁=q•$\frac{1}{8}$U=$\frac{1}{8}$qU£¬
ÔÚºó$\frac{t}{2}$ʱ¼äÄÚ£¬µç³¡Á¦¶ÔÁ£×Ó×öµÄ¹¦Îª£ºW₂=q•$\frac{3}{8}$U=$\frac{3}{8}$qU£®¹ÊA´íÎó£¬BÕýÈ·£®
C¡¢D¡¢¸ù¾ÝW=qEy¿ÉµÃ£¬ÔÚÁ£×ÓÏÂÂäÇ°$\frac{d}{4}$ºÍºó$\frac{d}{4}$µÄ¹ý³ÌÖУ¬µç³¡Á¦×ö¹¦Ö®±ÈΪ1£º1£¬¹ÊCD´íÎó£®
¹ÊÑ¡£ºB£®

µãÆÀ ±¾ÌâÊÇÀàƽÅ×Ô˶¯£¬ÒªÊìÁ·ÕÆÎÕÆäÑо¿·½·¨£ºÔ˶¯µÄºÏ³ÉÓë·Ö½â£¬²¢Òª×¥×¡ÊúÖ±·½Ïò³õËÙ¶ÈΪÁãµÄÔȼÓËÙÔ˶¯µÄһЩÍÆÂÛ£¬Ñо¿Î»ÒƺÍʱ¼ä¹Øϵ£®