ÌâÄ¿ÄÚÈÝ
17£®1928Ä꣬Ӣ¹úϸ¾úѧ¼Ò¸ñÀï·ÆË¹ÒÔСÊóΪʵÑé²ÄÁÏ×öÁËÈçÏÂʵÑ飺| µÚ1×é | µÚ2×é | µÚ3×é | µÚ4×é | |
| ʵÑé´¦Àí | ×¢Éä»îµÄRÐ;ú | ×¢Éä»îµÄSÐ;ú | ×¢Éä¼ÓÈÈɱËÀµÄSÐ;ú | ×¢Éä»îµÄRÐ;úÓë¼ÓÈÈɱËÀµÄSÐ;ú |
| ʵÑéÏÖÏó | СÊó²»ËÀÍö | СÊóËÀÍö£¬´ÓСÊóÌåÄÚ·ÖÀë³öSÐÍ»îϸ¾ú | СÊó²»ËÀÍö | СÊóËÀÍö£¬´ÓСÊóÌåÄÚ·ÖÀë³öSÐÍ»îϸ¾ú |
| A£® | SÐÍ»îϸ¾úÄÜÒýÆðСÊóËÀÍöµÄÔÒòÊǼÔĤ¶àÌǾßÓж¾ÐÔ | |
| B£® | µÚ3×éµÄSÐ;úÒò¼ÓÈȵ°°×ÖʱäÐÔÖÂËÀ£¬SÐ;ú²»ÄÜÔÙ·±Ö³ºó´ú | |
| C£® | µÚ4×éÖеÄRÐ;úÄÜÈ«²¿×ª»¯³ÉSÐ;ú | |
| D£® | µÚ4×éʵÑé½á¹û²»ÄÜ˵Ã÷ת»¯Òò×ӵĻ¯Ñ§³É·Ö |
·ÖÎö ·ÖÎöʵÑ飺RÐÍϸ¾úÎÞ¶¾ÐÔ£¬²»ÄÜʹСÊóËÀÍö£»SÐÍϸ¾úÓж¾ÐÔ£¬ÄÜʹСÊóËÀÍö£»¼ÓÈÈɱËÀµÄSÐÍϸ¾úʧȥ¸ÐȾСÊóµÄÄÜÁ¦£¬²»ÄÜʹСÊóËÀÍö£»¼ÓÈÈɱËÀµÄSÐÍϸ¾úÖдæÔÚijÖÖ¡°×ª»¯Òò×Ó¡±£¬Äܽ«RÐÍϸ¾úת»¯³ÉSÐ;ú£¬Ê¹Ð¡ÊóËÀÍö£®
½â´ð ½â£ºA¡¢SÐÍ»îϸ¾úÄÜÒýÆðСÊóËÀÍöµÄÔÒòÊǼÔĤ¶àÌǾßÓж¾ÐÔ£¬AÕýÈ·£»
B¡¢µÚ3×éµÄSÐ;úÒò¼ÓÈȵ°°×ÖʱäÐÔÖÂËÀ£¬SÐ;ú²»ÄÜÔÙ·±Ö³ºó´ú£¬BÕýÈ·£»
C¡¢µÚ4×éÖеÄÖ»Óв¿·ÖRÐ;úת»¯³ÉSÐ;ú£¬C´íÎó£»
D¡¢µÚ4×éСÊóËÀÍö²¢·ÖÀëµ½SÐÍ»îϸ¾ú˵Ã÷¼ÓÈÈɱËÀµÄSÐÍϸ¾úÖдæÔÚijÖÖת»¯Òò×Ó£¬ÄÜʹRÐÍϸ¾úת»¯³ÉSÐÍϸ¾ú£¬µ«²»ÄÜ˵Ã÷ת»¯Òò×ӵĻ¯Ñ§³É·Ö£¬DÕýÈ·£®
¹ÊÑ¡£ºC£®
µãÆÀ ±¾Ìâ½áºÏʵÑé¹ý³Ì£¬¿¼²é·ÎÑ×Ë«Çò¾úµÄת»¯ÊµÑ飬ÒâÔÚ¿¼²é¿¼ÉúÄܶÀÁ¢Íê³É¡°ÉúÎï֪ʶÄÚÈÝ±í¡±ËùÁеÄÉúÎïʵÑ飬°üÀ¨Àí½âʵÑéÄ¿µÄ¡¢ÔÀí¡¢·½·¨ºÍ²Ù×÷²½Ö裬²¢ÄܶÔʵÑéÏÖÏóºÍ½á¹û½øÐнâÊÍ¡¢·ÖÎöºÍ´¦Àí£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
9£®
ij´ÆÐÛͬÖêÖ²ÎﻨµÄÑÕÉ«ÓÐȾɫÌåÉϵÄÁ½¶Ô»ùÒò£¨AºÍa£¬BºÍb£©¿ØÖÆ£®Æä»ùÒòÐÍÓë±íÏÖÐ͵ĶÔÓ¦¹ØÏµÈç±í£¬Çë»Ø´ðÏÂÁÐÎÊÌ⣮
£¨1£©ÏÖÓд¿ºÏ°×»¨Ö²ÖêºÍ´¿ºÏºì»¨Ö²Öê×öÇ×±¾½øÐÐÔÓ½»£¬²úÉúµÄ×ÓÒ»´ú»¨É«È«ÊǺìÉ«£¬ÔòÇ×´ú°×»¨µÄ»ùÒòÐÍaabb£®
£¨2£©ÎªÌ½¾¿Á½¶Ô»ùÒò£¨ AºÍa£¬BºÍb£©µÄÒÅ´«ÊÇ·ñ·ûºÏ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£¬Ä³¿ÎÌâС×éÑ¡ÓûùÒòÐÍΪAaBbµÄÖ²Öê½øÐв⽻£®
ʵÑé²½Ö裺
µÚÒ»²½£º¶Ô»ùÒòÐÍΪAaBbµÄÖ²Öê½øÐв⽻£®
µÚ¶þ²½£º¹Û²ì²¢Í³¼Æ×Ó´úÖ²Ö껨µÄÑÕÉ«¼°±ÈÀý£®
Ô¤ÆÚ½á¹û¼°½áÂÛ£º
¢ÙÈç¹û×Ó´ú»¨É«¼°±ÈÀýΪ·Û»¨£ººì»¨£º°×»¨=1£º1£º2£¬ÔòÁ½¶Ô»ùÒòµÄÒÅ´«·ûºÏ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£¬¸ÃÔÓºÏÌåÖ²ÖêµÄ»ùÒòÐÍʾÒâͼÈçͼ1Ëùʾ£®
¢ÚÈç¹û×Ó´úÖ²Ö껨ɫ¼°±ÈÀýΪºì»¨£º°×»¨=1£º1£¬ÔòÁ½¶Ô»ùÒòµÄÒÅ´«²»·ûºÏ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®ÇëÄãÓÃÊúÏߣ¨|£©±íʾȾɫÌ壬ºÚµã£¨•£©±íʾ»ùÒòÔÚȾɫÌåÉϵÄλÖã®ÔÚÈçͼ2Öл³ö¸ÃÔÓºÏÌåÖ²ÖêµÄ»ùÒòÐÍʾÒâͼ£®
£¨3£©ÈôÉÏÊöÁ½¶Ô»ùÒòµÄÒÅ´«·ûºÏ×ÔÓÉ×éºÏ¶¨ÂÉ£¬Ôò»ùÒòÐÍΪAaBbµÄÔÓºÏÌåÖ²Öê×Ô½»ºó´úµÄºì»¨Ö²ÖêÖУ¬aµÄ»ùÒòƵÂÊÊÇ$\frac{1}{3}$£®
| »ùÒò×éºÏ | A_Bb | A_bb | A_BB»òaa__ |
| »¨µÄÑÕÉ« | ·ÛÉ« | ºìÉ« | °×É« |
£¨2£©ÎªÌ½¾¿Á½¶Ô»ùÒò£¨ AºÍa£¬BºÍb£©µÄÒÅ´«ÊÇ·ñ·ûºÏ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£¬Ä³¿ÎÌâС×éÑ¡ÓûùÒòÐÍΪAaBbµÄÖ²Öê½øÐв⽻£®
ʵÑé²½Ö裺
µÚÒ»²½£º¶Ô»ùÒòÐÍΪAaBbµÄÖ²Öê½øÐв⽻£®
µÚ¶þ²½£º¹Û²ì²¢Í³¼Æ×Ó´úÖ²Ö껨µÄÑÕÉ«¼°±ÈÀý£®
Ô¤ÆÚ½á¹û¼°½áÂÛ£º
¢ÙÈç¹û×Ó´ú»¨É«¼°±ÈÀýΪ·Û»¨£ººì»¨£º°×»¨=1£º1£º2£¬ÔòÁ½¶Ô»ùÒòµÄÒÅ´«·ûºÏ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£¬¸ÃÔÓºÏÌåÖ²ÖêµÄ»ùÒòÐÍʾÒâͼÈçͼ1Ëùʾ£®
¢ÚÈç¹û×Ó´úÖ²Ö껨ɫ¼°±ÈÀýΪºì»¨£º°×»¨=1£º1£¬ÔòÁ½¶Ô»ùÒòµÄÒÅ´«²»·ûºÏ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®ÇëÄãÓÃÊúÏߣ¨|£©±íʾȾɫÌ壬ºÚµã£¨•£©±íʾ»ùÒòÔÚȾɫÌåÉϵÄλÖã®ÔÚÈçͼ2Öл³ö¸ÃÔÓºÏÌåÖ²ÖêµÄ»ùÒòÐÍʾÒâͼ£®
£¨3£©ÈôÉÏÊöÁ½¶Ô»ùÒòµÄÒÅ´«·ûºÏ×ÔÓÉ×éºÏ¶¨ÂÉ£¬Ôò»ùÒòÐÍΪAaBbµÄÔÓºÏÌåÖ²Öê×Ô½»ºó´úµÄºì»¨Ö²ÖêÖУ¬aµÄ»ùÒòƵÂÊÊÇ$\frac{1}{3}$£®
10£®ÏÂÁÐÄÄÏî²»ÊÇÃϵ¶û»ñµÃ³É¹¦µÄÔÒò£¨¡¡¡¡£©
| A£® | ¶ÔʵÑé½á¹û¾«È·µØ½øÐÐͳ¼Æ·ÖÎö | |
| B£® | Ñ¡Óñջ¨ÊÜ·ÛµÄÍã¶¹×÷ʵÑé²ÄÁÏ | |
| C£® | ÏÈÑо¿Ò»¶ÔÏà¶ÔÐÔ×´£¬ºóÑо¿Á½¶ÔÏà¶ÔÐÔ×´ | |
| D£® | ÏÈÑо¿ÒÅ´«Òò×ÓµÄÐÐΪ£¬ºóÑо¿Í¬Ô´È¾É«ÌåµÄÐÐΪ |
6£®ÏÂÁйØÓÚÐÔȾɫÌå¼°Æä»ùÒòµÄÒÅ´«·½Ê½ºÍÌØµãµÄ˵·¨£¬ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
| A£® | ¾ßÓÐͬÐÍÐÔȾɫÌåµÄÉúÎ·¢Óý³É´ÆÐÔ¸öÌ壬¾ßÓÐÒìÐÍÐÔȾɫÌåµÄÉúÎï·¢Óý³ÉÐÛÐÔ¸öÌå | |
| B£® | ÔÚ¼õÊý·ÖÁѹý³ÌÖУ¬X¡¢YȾɫÌåÔÚ¼õÊýµÚÒ»´Î·ÖÁѺóÆÚ·ÖÀ룬X¡¢XȾɫÌåÔÚ¼õÊýµÚÒ»´Î·ÖÁѺóÆÚ»ò¼õÊýµÚ¶þ´Î·ÖÁѺóÆÚ·ÖÀë | |
| C£® | °éXȾɫÌåÒþÐÔÒÅ´«£¬ÄÐÐÔ·¢²¡Âʸߣ¬ÇÒÅ®ÐÔ»¼ÕßµÄĸÇ׺Ͷù×Ó¾ùΪ»¼Õß | |
| D£® | ÄÐÐÔµÄÐÔȾɫÌå¿ÉÄÜÀ´×Ô׿¸¸£¬Å®ÐÔµÄÐÔȾɫÌå¿ÉÄÜÀ´×Ô׿¸¸»ò׿ď |
13£®ÈçͼÊÇ»ùÒòÐÍΪµÄ¶þ±¶ÌåÉúÎïͨ¹ý¼õÊýµÚÒ»´Î·ÖÁÑÐγɵÄ×Óϸ°û£¬ÏÂÁÐÐðÊöÕýÈ·µÄÊÇ£¨¡¡¡¡£©

| A£® | ¸Ãϸ°ûΪ³õ¼¶¾«Ä¸Ï¸°û | |
| B£® | ¸Ãϸ°ûÓÐËÄÌõȾɫµ¥Ì壬Á½¸öȾɫÌå×é | |
| C£® | ¸Ãϸ°ûµÄÐγɹý³ÌÖÐÒ»¶¨·¢ÉúÁË»ùÒòÍ»±ä | |
| D£® | Õý³£Çé¿öÏ£¬B¡¢b»ùÒòÔÚ³£È¾É«Ìå¶ø²»ÊÇXȾɫÌåÉÏ |