ÌâÄ¿ÄÚÈÝ
2£®Ôڵ糡ÖÐijµãÒýÈëµçºÉÁ¿Îª+qµÄÊÔ̽µçºÉ£¬¸ÃµçºÉÊܵ½µÄµç³¡Á¦ÎªF£¬Ôò£¨¡¡¡¡£©A£® | ÔÚÕâµãÒýÈëµçºÉÁ¿Îª+2qµÄÊÔ̽µçºÉʱ£¬¸ÃµãµÄµç³¡Ç¿¶ÈµÈÓÚ$\frac{F}{2q}$ | |
B£® | ÔÚÕâµãÒýÈëµçºÉÁ¿Îª+2qµÄÊÔ̽µçºÉʱ£¬¸ÃµãµÄµç³¡Ç¿¶ÈµÈÓÚ$\frac{F}{q}$ | |
C£® | ÔÚÕâµãÒýÈëµçºÉÁ¿Îª+3qµÄÊÔ̽µçºÉʱ£¬¸ÃµãµÄµç³¡Ç¿¶È½«µÈÓÚ$\frac{F}{3q}$ | |
D£® | ÔÚÕâµãÒýÈëµçºÉÁ¿Îª-qµÄÊÔ̽µçºÉʱ£¬¸Ãµãµç³¡Ç¿¶ÈµÄ·½Ïò½«ºÍÔڸõãÒýÈëµçºÉÁ¿Îª+qµÄÊÔ̽µçºÉʱ·½ÏòÏà·´ |
·ÖÎö µç³¡Ç¿¶ÈÊÇÃèÊöµç³¡±¾ÉíÐÔÖʵÄÎïÀíÁ¿£¬ÊÇÓɵ糡±¾Éí¾ö¶¨µÄ£¬ÓëÊÔ̽µçºÉµÄµçÁ¿ÒÔ¼°ÊÔ̽µçºÉÊܵ½µÄµç³¡Á¦Î޹أ®
½â´ð ½â£ºABC¡¢µç³¡Ç¿¶ÈÊÇÓɵ糡±¾Éí¾ö¶¨µÄ£¬ÓëÊÔ̽µçºÉµÄµçÁ¿ÒÔ¼°ÊÔ̽µçºÉÊܵ½µÄµç³¡Á¦Î޹أ¬ÔòÓУºAµãµÄµç³¡Ç¿¶ÈΪ$\frac{F}{q}$£»
ËùÒÔÔÚAµã¸Ä·ÅÁíÒ»µçºÉÁ¿Îª2qµÄÊÔ̽µçºÉºó£¬AµãµÄµç³¡Ç¿¶È±£³Ö²»±ä£¬ÈÔÈ»ÊÇ$\frac{F}{q}$£»
ÔÚÕâµãÒýÈëµçºÉÁ¿Îª+3qµÄÊÔ̽µçºÉʱ£¬¸ÃµãµÄµç³¡Ç¿¶ÈÈÔµÈÓÚ$\frac{F}{q}$£¬¹ÊAC´íÎó£¬BÕýÈ·£»
D¡¢ÔÚÕâµãÒýÈëµçºÉÁ¿Îª-qµÄÊÔ̽µçºÉʱ£¬¸Ãµãµç³¡Á¦µÄ·½Ïò½«ºÍÔڸõãÒýÈëµçºÉÁ¿Îª+qµÄÊÔ̽µçºÉʱ·½ÏòÏà·´£¬µ«¸Ãµãµç³¡Ç¿¶ÈµÄ·½Ïò½«ºÍÔڸõãÒýÈëµçºÉÁ¿Îª+qµÄÊÔ̽µçºÉʱ·½ÏòÈÔÏàͬ£¬¹ÊD´íÎó£»
¹ÊÑ¡£ºB£®
µãÆÀ µç³¡Ç¿¶ÈÊÇÃèÊöµç³¡±¾ÉíÐÔÖʵÄÎïÀíÁ¿£¬Êǵ糡ÖÐ×îÖØÒªµÄ¸ÅÄîÖ®Ò»£¬¹Ø¼üÒªÕÆÎÕÆ䶨ÒåʽºÍ·½ÏòÌØÕ÷£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
11£®ÔÚÉñÖÛʮһºÅ·É´¬ÓëÌ칬¶þºÅ¿Õ¼äÕ¾½»»á¶Ô½ÓµÄ¹ý³ÌÖУ¨¡¡¡¡£©
A£® | ·É´¬¿ÉÒÔ¿´³ÉÖʵ㣬¿Õ¼äÕ¾²»¿ÉÒÔ¿´³ÉÖʵã | |
B£® | ·É´¬²»¿ÉÒÔ¿´³ÉÖʵ㣬¿Õ¼äÕ¾¿ÉÒÔ¿´³ÉÖʵã | |
C£® | ·É´¬ºÍ¿Õ¼äÕ¾¶¼¿ÉÒÔ³ÉΪÖʵã | |
D£® | ·É´¬ºÍ¿Õ¼äÕ¾¶¼²»¿ÉÒÔ¿´³ÉÖʵã |
12£®ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£® | Âó¿Ë˹ΤԤÑÔÁ˵ç´Å²¨µÄ´æÔÚ£¬²¢ÇÒµÚÒ»´ÎÓÃʵÑéÖ¤Ã÷Á˵ç´Å²¨µÄ´æÔÚ | |
B£® | µ¤ÂóÌìÎÄѧ¼ÒµÚ¹È¼á³Ö20ÓàÄê¶ÔÌìÌåµÄϵͳ¹Û²â£¬»ñµÃÁË´óÁ¿µÄ¾«È·×ÊÁÏ£¬ÎªËûµÄµÜ×ӵ¹úÌìÎÄѧ¼Ò¿ªÆÕÀÕÌá³öÈý´ó¶¨ÂÉ×öºÃÁË×¼±¸ | |
C£® | ¿¨ÎĵÏÐí·¢ÏÖÁËÍòÓÐÒýÁ¦¶¨Âɲ¢ÇÒÀûÓÃŤ³Ó×°Öòâ³öÁËÍòÓÐÒýÁ¦³£Á¿ | |
D£® | ¹ÅÏ£À°Ñ§ÕßÍÐÀÕÃÜÌá³öÈÕÐÄ˵£¬²¨À¼¸ç°×ÄáÌá³öµØÐÄ˵£¬¸ç°×ÄáÌìÎÄѧʹ¹Å´ú¿Æѧ×ßÏòÁ˽ü´úµÄÅ£¶ÙÁ¦Ñ§ |
10£®ÈçͼËùʾ£¬ÓôÖϸ¾ùÔȵÄ͵¼ÏßÖƳɰ뾶ΪrµÄÔ²»·£¬PQΪԲ»·µÄÖ±¾¶£¬Æä×óÓÒÁ½²à´æÔÚ´¹Ö±Ô²»·ËùÔÚƽÃæµÄÔÈÇ¿´Å³¡£¬´Å¸ÐӦǿ¶È´óС¾ùΪB£¬µ«·½ÏòÏà·´£¬Ô²»·µÄµç×èΪ2R£®Ò»¸ù³¤¶ÈΪ2r¡¢µç×èΪRµÄ½ðÊô°ôMNÈÆ×ÅÔ²»·µÄÔ²ÐÄOµã½ôÌù×ÅÔ²»·ÒÔ½ÇËٶȦØÑØ˳ʱÕë·½ÏòÔÈËÙת¶¯£¬×ª¶¯¹ý³ÌÖнðÊô°ôMNÓëÔ²»·Ê¼ÖÕ½Ó´¥Á¼ºÃ£¬ÔòÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£® | ½ðÊô°ôMNÁ½¶ËµÄµçѹ´óСΪ$\frac{1}{3}$B¦Ør2 | |
B£® | Ô²»·ÏûºÄµÄµç¹¦ÂÊÊDZ仯µÄ | |
C£® | Ô²»·ÖеçÁ÷µÄ´óСΪ$\frac{{B¦Ø{r^2}}}{3R}$ | |
D£® | ½ðÊô°ôMNÐýתһÖܵĹý³ÌÖУ¬µç·ÖвúÉúµÄÈÈÁ¿Îª$\frac{{4¦Ð{B^2}¦Ø{r^4}}}{3R}$ |
11£®ÈçͼËùʾ£¬ÆðÖØ»ú½«ÖØΪGµÄÕý·½ÐÎË®Äà°åˮƽÔÈËÙµõÆð£¬ÒÑÖªËÄÌõ¸ÖË÷µÄ³¤¶È¾ùÓëË®Äà°åµÄ±ß³¤ÏàµÈ£¬ÔòÕâËĸù¸ÖË÷µÄºÏÁ¦´óСΪ£¨¡¡¡¡£©
A£® | $\frac{G}{4}$ | B£® | $\frac{\sqrt{3}G}{6}$ | C£® | $\frac{\sqrt{2}}{4}$G | D£® | G |
12£®Ð¡³µÉϹ̶¨ÓÐÒ»¸öÊúÖ±·½ÏòµÄϸ¸Ë£¬¸ËÉÏÌ×ÓÐÖÊÁ¿ÎªMµÄС»·£¬»·Í¨¹ýϸÉþÓëÖÊÁ¿ÎªmµÄСÇòÁ¬½Ó£¬µ±³µË®Æ½ÏòÓÒ×÷ÔȼÓËÙÔ˶¯Ê±£¬»·ºÍÇòÓë³µÏà¶Ô¾²Ö¹£¬ÉþÓë¸ËÖ®¼äµÄ¼Ð½ÇΪ¦È£¬ÈçͼËùʾ£®£¨¡¡¡¡£©
A£® | ϸÉþµÄÊܵ½µÄÀÁ¦Îª$\frac{mg}{cos¦È}$ | B£® | ϸ¸Ë¶Ô»·×÷ÓÃÁ¦·½ÏòˮƽÏòÓÒ | ||
C£® | ϸ¸Ë¶ÔС»·µÄ¾²Ä¦²ÁÁ¦ÎªMg | D£® | ϸ¸Ë¶Ô»·µ¯Á¦µÄ´óСΪ£¨M+m£©gtan¦È |