ÌâÄ¿ÄÚÈÝ
7£®ÓîÖæÖÐÁ½¿Å¿¿µÃ±È½Ï½üµÄºãÐÇ¿ÉÈÏΪֻÊܵ½±Ë´ËÖ®¼äµÄÍòÓÐÒýÁ¦×÷Óû¥ÏàÈÆ×ª£¬³ÆÖ®ÎªË«ÐÇϵͳ£¬ÉèË«ÐÇA¡¢BÈÆÆäÁ¬ÏßÉϵÄijµã×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÒÑÖªA¡¢BºãÐǵİ뾶֮±Èp£¬A¡¢B×öÔ²ÖÜÔ˶¯µÄ¹ìµÀ°ë¾¶Ö®±ÈΪq£®Ôò£¨¡¡¡¡£©| A£® | A¡¢BÁ½ºãÐǵÄÃܶÈÖ®±ÈΪ$\frac{1}{{p}^{3}}$ | |
| B£® | A¡¢BÁ½ºãÐǵÄÃܶÈÖ®±ÈΪ$\frac{1}{{p}^{3}q}$ | |
| C£® | A¡¢BÁ½ºãÐDZíÃæµÄÖØÁ¦¼ÓËÙ¶ÈÖ®±ÈΪ$\frac{1}{p}$ | |
| D£® | A¡¢BÁ½ºãÐDZíÃæµÄÖØÁ¦¼ÓËÙ¶ÈÖ®±ÈΪ$\frac{1}{{p}^{2}q}$ |
·ÖÎö Ë«ÐÇ¿¿Ï໥¼äµÄÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦£¬¾ßÓÐÏàͬµÄ½ÇËÙ¶È£¬¸ù¾ÝÏòÐÄÁ¦¹«Ê½ÅжÏÖÊÁ¿¹ØÏµ£¬ÔÙÇó½âÃܶȹØÏµ£¬ÔÙ¸ù¾Ý$g=G\frac{M}{{R}_{\;}^{2}}$ÇóÁ½ºãÐDZíÃæµÄÖØÁ¦¼ÓËÙ¶ÈÖ®±È£»
½â´ð ½â£ºAB¡¢Ë«ÐÇϵͳ×öÔ²ÖÜÔ˶¯Ê±µÄ½ÇËÙ¶ÈÏàµÈ£¬ÍòÓÐÒýÁ¦Ìṩ˫ÐÇ×öÔ²ÖÜÔ˶¯µÄÏòÐÄÁ¦£¬ÔòÓÐ${m}_{1}^{\;}{¦Ø}_{\;}^{2}{r}_{1}^{\;}={m}_{2}^{\;}{¦Ø}_{\;}^{2}{r}_{2}^{\;}$
¹ÊA¡¢BÁ½ºãÐǵÄÖÊÁ¿Ö®±ÈΪ$\frac{{m}_{1}^{\;}}{{m}_{2}^{\;}}=\frac{{r}_{2}^{\;}}{{r}_{1}^{\;}}=\frac{1}{q}$
ÃܶÈÖ®±ÈΪ$\frac{{¦Ñ}_{1}^{\;}}{{¦Ñ}_{2}^{\;}}=\frac{\frac{{m}_{1}^{\;}}{\frac{4}{3}¦Ð{R}_{1}^{3}}}{\frac{{m}_{2}^{\;}}{\frac{4¦Ð{R}_{2}^{3}}{3}}}$=$\frac{{m}_{1}^{\;}}{{m}_{2}^{\;}}•\frac{{R}_{2}^{3}}{{R}_{1}^{3}}=\frac{1}{{p}_{\;}^{3}q}$£¬¹ÊA´íÎó£¬BÕýÈ·£»
CD¡¢¸ù¾Ý$g=G\frac{m}{{R}_{\;}^{2}}$£¬ÖªA¡¢BÁ½ºãÐDZíÃæµÄÖØÁ¦¼ÓËÙ¶ÈÖ®±È$\frac{{g}_{1}^{\;}}{{g}_{2}^{\;}}=\frac{{m}_{1}^{\;}}{{m}_{2}^{\;}}•\frac{{R}_{2}^{2}}{{R}_{1}^{2}}=\frac{1}{q}•\frac{1}{{p}_{\;}^{2}}=\frac{1}{{p}_{\;}^{2}q}$£¬¹ÊC´íÎó£¬DÕýÈ·£»
¹ÊÑ¡£ºBD
µãÆÀ ½â¾ö±¾ÌâµÄ¹Ø¼üÖªµÀË«ÐÇ¿¿Ï໥¼äµÄÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦£¬¾ßÓÐÏàͬµÄ½ÇËÙ¶È£®ÒÔ¼°»áÓÃÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦½øÐÐÇó½â
| A£® | ËٶȺܴóµÄÎïÌ壬Æä¼ÓËÙ¶È¿ÉÒÔºÜС | |
| B£® | ËٶȸıäÁ¿¡÷vÔ½´ó£¬¼ÓËٶȾÍÔ½´ó | |
| C£® | ÎïÌåÓмÓËÙ¶È£¬ËٶȾÍÔö´ó | |
| D£® | ¼ÓËÙ¶ÈÔö´ó£¬ËÙ¶ÈÒ»¶¨Ôö´ó |
| A£® | ¿Ì¶È³ß¡¢µ¯»É²âÁ¦¼Æ¡¢Ãë±í | B£® | ¿Ì¶È³ß¡¢ÌìÆ½¡¢Ãë±í | ||
| C£® | ¿Ì¶È³ß¡¢µ¯»É²âÁ¦¼Æ¡¢´òµã¼ÆÊ±Æ÷ | D£® | Á¿Í²¡¢ÌìÆ½¡¢Ãë±í |
| A£® | R3µÄ×èֵΪ4R0 | B£® | ±ÕºÏSºó£¬U1£ºU2=10£º3 | ||
| C£® | ±ÕºÏSºóR1ÏûºÄµÄ¹¦ÂʵÈÓÚR3µÄ6±¶ | D£® | ±ÕºÏSǰºó£¬R1Á½¶Ëµçѹ֮±ÈΪ6£º5 |
| A£® | abÔ˶¯µÄËٶȽϴó | B£® | ËüÃDzúÉúµÄ¸ÐÓ¦µç¶¯ÊÆÏàͬ | ||
| C£® | ËüÃÇÿÃë²úÉúµÄÈÈÁ¿Ïàͬ | D£® | cdÊܵ½µÄÍâÁ¦½ÏС |
| A£® | 0 | B£® | mgb | C£® | mg£¨b-a£©+$\frac{1}{2}$mv2 | D£® | mga |
| A£® | F¼×£ºFÒÒ=5£º4 | B£® | W¼×£ºWÒÒ=5£º4 | C£® | P¼×£ºPÒÒ=4£º5 | D£® | ¦Ç¼×£º¦ÇÒÒ=5£º4 |
| A£® | ¿ªÆÕÀÕÌá³öÐÐÐÇÔ˶¯¹æÂÉ£¬²¢·¢ÏÖÁËÍòÓÐÒýÁ¦¶¨ÂÉ | |
| B£® | Å£¶Ù·¢ÏÖÁËÍòÓÐÒýÁ¦¶¨Âɲ¢Í¨¹ý¾«È·µÄ¼ÆËãµÃ³öÍòÓÐÒýÁ¦³£Á¿ | |
| C£® | ÍòÓÐÒýÁ¦³£Á¿ÊÇ¿âÂ×ͨ¹ýŤ³ÓʵÑé²âÁ¿µÃ³öµÄ | |
| D£® | ·¨ÀµÚ×îÔçÒýÈëÁ˳¡µÄ¸ÅÄ²¢Ìá³öÓõ糡ÏßÃèÊöµç³¡ |