5. ÔÚ¾àÀëÕÉÁ¿ÖкâÁ¿¾«¶ÈµÄ·½·¨ÊÇÓ㨠B £©¡£
£Á.Íù·µ½Ï²î £Â.Ïà¶ÔÎó²î£» £Ã.±ÕºÏ²î D.¾ø¶ÔÎó²î 6. ×ø±ê·½Î»½ÇÊÇÒÔ£¨ D £©Îª±ê×¼·½Ïò£¬Ë³Ê±Õëתµ½²âÏߵļнǡ£
£Á.Õæ×ÓÎçÏß·½Ïò £Â.´Å×ÓÎçÏß·½Ïò £Ã. ¼Ù¶¨×ÝÖá·½Ïò D. ×ø±ê×ÝÖá·½Ïò 7. ¾àÀëÕÉÁ¿µÄ½á¹ûÊÇÇóµÃÁ½µã¼äµÄ£¨ B £©¡£
£Á.бÏß¾àÀë £Â.ˮƽ¾àÀë £Ã.ÕÛÏß¾àÀë D.×ø±ê²îÖµ
8. Íù·µÕÉÁ¿Ö±ÏßABµÄ³¤¶ÈΪ£ºDAB=126.72m£¬DBA=126.76m £¬ÆäÏà¶ÔÎó²îΪ£¨ A £©
£Á.£Ë=1/3100 £Â.£Ë=1/3500 £Ã.£Ë=0.000315 D. £Ë=0.00315
9. ÒÑÖªÖ±ÏßABµÄ×ø±ê·½Î»½Ç?AB=207o15'45¡±£¬ÔòÖ±ÏßBAµÄ×ø±ê·½Î»½Ç?BAΪ£¨C£©
A¡¢117o15'45¡± B¡¢297o15'45¡± C¡¢27o15'45¡± D¡¢207o15'45¡±
10. ¾«ÃֳܸßÁ¿¾à£¬Ò»°ãÒª½øÐеÄÈýÏî¸ÄÕýÊdz߳¤¸ÄÕý¡¢£¨ D £©¸ÄÕýºÍÇãб¸ÄÕý¡£
£Á.±ÈÀý £Â.¸ß²î £Ã.ÆøÑ¹ D.ÎÂ¶È 11. Ö±Ïß·½Î»½ÇµÄ½ÇÖµ·¶Î§ÊÇ£¨ A £©
A£®0¡ã¡«360¡ã B£®0¡ã¡«¡À180¡ã C£®0¡ã¡« ¡À90¡ã D£®0¡ã¡« 90¡ã
12. ¹ýµØÃæÉÏijµãµÄÕæ×ÓÎçÏß·½ÏòÓë´Å×ÓÎçÏß·½Ïò³£²»Öغϣ¬Á½ÕßÖ®¼äµÄ¼Ð½Ç£¬³ÆÎª£¨ C £©¡£
£Á.Õæ´Å½Ç £Â.ÕæÆ«½Ç £Ã. ´ÅÆ«½Ç D. ×ÓÎçÏ߯«½Ç
13. ¹ýµØÃæÉÏijµãµÄÕæ×ÓÎçÏß·½ÏòÓëÖÐÑë×ÓÎçÏß·½Ïò³£²»Öغϣ¬Á½ÕßÖ®¼äµÄ¼Ð½Ç£¬³ÆÎª£¨ B £©¡£
£Á.ÖÐÑëÏßÊÕÁ²½Ç £Â.×ÓÎçÏßÊÕÁ²½Ç £Ã. ´ÅÆ«½Ç D. ×ÓÎçÏ߯«½Ç 14. ×ø±ê×ÝÖá·½Ïò£¬ÊÇÖ¸£¨ C £©·½Ïò¡£
£Á.Õæ×ÓÎçÏß·½Ïò £Â.´Å×ÓÎçÏß·½Ïò £Ã. ÖÐÑë×ÓÎçÏß·½Ïò D.Ǧ´¹·½Ïò 15. µç´Å²¨²â¾àµÄ»ù±¾ÔÀíÊÇ£º£¨ B £©£¨ËµÃ÷£ºcΪ¹âËÙ£¬tΪʱ¼ä²î£¬DΪ¿Õ¼ä¾àÀ룩¡£
£Á. D?c?t £Â. D?11c?t £Ã. D?c?t D. D?2c?t 2416. ÄܲⶨֱÏß´Å·½Î»½ÇµÄÒÇÆ÷£¬ÊÇ£¨ D £©
£Á.¾Î³ÒÇ £Â. ȫվÒÇ £Ã. ÍÓÂÝÒÇ D. ÂÞÅÌÒÇ ËÄ¡¢¼ò´ðÌâ
1.ºÎνÕý¡¢·´·½Î»½Ç£¿
Óɱê×¼·½ÏòµÄ±±¶ËÆð£¬Ë³Ê±Õë·½Ïòµ½Ä³Ö±ÏßµÄˮƽ½Ç£¬³ÆÎª¸ÃÖ±Ïߵķ½Î»½Ç£¬·½Î»½ÇÖµ´Ó0??360?¡£Ö±ÏßABµÄ·½Î»½Ç¼ÇΪ?AB£¬Ö±ÏßBAµÄ·½Î»½Ç¼ÇΪ?BA£¬Ôò?ABÓë?BA»¥ÎªÕý·´·½Î»½Ç¡£ 2.ΪÁ˱£Ö¤Ò»°ã¾àÀëÕÉÁ¿µÄ¾«¶È£¬Ó¦×¢ÒâÄÄЩÊÂÏ
£¨1£©ÕÉÁ¿Ç°Ó¦¶ÔÕÉÁ¿¹¤¾ß½øÐмìÑ飬²¢ÈÏÇå³ß×ÓÁãµãλÖá£
£¨2£©ÎªÁ˼õÉÙ¶¨ÏßµÄÎó²î£¬±ØÐë°´ÕÕ¶¨ÏßµÄÒªÇóÈ¥×ö¡£
£¨3£©ÕÉÁ¿¹ý³ÌÖÐÀÁ¦Òª¾ùÔÈ£¬²»Òªºö½ôºöËÉ£¬³ß×ÓÓ¦·ÅÔÚ²âÇ¥µÄͬһ²â¡£ £¨4£©ÕÉÁ¿ÖÁÖÕµãÁ¿Ó೤ʱ£¬Òª×¢Òâ³ßÉϵÄ×¢¼Ç·½Ïò£¬ÒÔÃâÔì³É´íÎó¡£ £¨5£©¼Ç¼ҪÇåÎú²»ÒªÍ¿¸Ä£¬¼ÇºÃºóÒª»Ø¶Á¼ìºË£¬ÒÔ·À¼Ç´íÊý¾Ý¡£
£¨6£©×¢Òâ°®»¤ÒÇÆ÷¹¤¾ß£¬¸Ö³ßÖÊ´àÒ×ÕÛ£¬²»Òª±»È˲È̤¡¢³µÁ¾Õ·Ñ¹ºÍÔÚµØÉÏÊ©ÐУ¬·¢ÏÖ´ò½á£¬Ó¦´ò¿ªºóÔÙÀ£¬ÒÔÃ⽫¸Ö³ßÀ¶Ï¡£
£¨7£©¸Ö³ßÓÃÍêºó£¬Ó¦²Á¾»ÉÏÓÍ£¬ÒÔ·ÀÉúÐâ¡£ 3.Ö±Ïß¶¨ÏòµÄÄ¿µÄÊÇʲô?³£ÓÃʲôÀ´±íʾֱÏß·½Ïò£¿
Ö±Ïß¶¨ÏòµÄÄ¿µÄÊÇΪÁ˼ÆËãÁ½µãÖ®¼äµÄx,y×ø±êÔöÁ¿£¬Ê¹Í¼Ö½Éϵķ½ÏòÓëʵµØÒ»Ö¡£²âÁ¿Ñ§Öг£ÓÃÖ±Ïߵķ½Î»½Ç»òÏóÏ޽DZíʾֱÏߵķ½Ïò¡£ 4.¾àÀëÕÉÁ¿ÓÐÄÄЩÖ÷ÒªÎó²îÀ´Ô´£¿
£¨1£©³ß³¤Îó²î£¬³ßÃæËù×¢µÄÃûÒ峤¶ÈÓëʵ¼Ê³¤¶È²»·ûËùÒýÆðµÄÎó²î£¬¿ÉÒÔÓó߳¤¸ÄÕýµÄ°ì·¨Ê¹ÆäÏû³ý¡£ £¨2£©¶¨ÏßµÄÎó²î£¬ÕÉÁ¿¾àÀëʱ£¬³ß×ÓËù·ÅµÄλÖã¬Æ«ÀëÁËÖ±Ïߵķ½ÏòÏߣ¬ÆäËùÁ¿µÄ¾àÀë²»ÊÇÖ±Ïß³¤¶È¶øÊÇÕÛÏß³¤¶È¡£Òò´ËÁ¿µÃµÄ³¤¶È×ÜÊDZÈʵ¼Ê³¤¶È³¤¡£
£¨3£©ÕÉÁ¿±¾ÉíµÄÎó²î£¬°üÀ¨£ºÓÉÓÚûÓаѳߵÄÁãµã¶Ô×¼Æðµã»ò²âÇ¥ÖÐÐĵÄÎó²î£»ÀÁ¦²»¾ùÔȵÄÎó²î£»³ßÇãбÎó²î£»Ó೤¶ÁÊý²»×¼È·µÄÎó²îµÈ¡£ 5.Ö±Ïß¶¨ÏòÓëÖ±Ïß¶¨ÏßÓкÎÇø±ð£¿
Ö±Ïß¶¨ÏòÊÇÈ·¶¨µØÃæÉÏÖ±Ïߵķ½Ïò£¬Ò»°ãÓÃÖ±ÏßÓë±ê×¼·½ÏòÖ¸½ÌµÄ¼Ð½ÇÀ´±íʾ£¬È緽λ½Ç£»¶øÖ±Ïß¶¨ÏßÖ¸µÄÊÇÔÚÒ»ÌõÖ±ÏßÉÏÈ·¶¨³öһЩµãµÄ¹¤×÷£¬Ò»°ãÊÇΪÁ˱£Ö¤¾àÀëÕÉÁ¿ÑØ×ÅÖ±Ïß½øÐв»ÖÁÓÚÆ«ÀëÁ½µãËùÔÚÖ±Ïß¶ø½øÐе͍µã¹¤×÷¡£ 6.ÊÔÊöÂÞÅÌÒDzⶨ´Å·½Î»½ÇµÄÖ÷Òª²Ù×÷²½Öè¡£
£¨1£©Óû²âÖ±ÏßABµÄ´Å·½Î»½Ç£¬½«ÒÇÆ÷°áµ½Ö±ÏßµÄÒ»¶ËµãA£¬²¢ÔÚ²âÏßÁíÒ»¶ËµãBÁ¢±ê¸Ë£» £¨2£©ÂÞÅÌÒǵݲÖ㬰üÀ¨¶ÔÖкÍÕûƽ£» £¨3£© Ãé×¼¶ÁÊý£¬¼´Îª²âÏߵĴŷ½Î»½Ç?AB¡£
£¨4£©½«ÂÞÅÌÒÇÒÆÖÁBµã£¬±ê¸ËÁ¢ÓÚAµã£¬Öظ´ÉÏÊö²Ù×÷£¬²âµÃÖ±ÏßABµÄ·´·½Î»½Ç?BA¡£
£¨5£©´Å·½Î»½Ç¼ÆË㣬Õý¡¢·´·½Î»½ÇÓ¦Ïà²î180?£¬ÆäÎó²îÈÝÐíÖµÓ¦ÔÚ?0.5?ÒÔÄÚ¡£ÈçÎó²îÔÚÈÝÐí·¶Î§ÄÚ£¬¿É°´ÏÂʽ¼ÆËãÖ±ÏßABµÄ·½Î»½Ç£º?AB?
7.¸Ö³ßµÄÃûÒ峤¶ÈÓë±ê×¼³¤¶ÈÓкÎÇø±ð£¿
1?AB??BA?180? 2???? ¸Ö³ßµÄÃûÒ峤¶ÈÊÇÖ¸¸Ö³ßÉÏËù±ê×¢µÄ³ß³¤£»¸Ö³ßµÄ±ê×¼³¤¶ÈÊÇÖ¸½«¸Ö³ßÓë±ê×¼³¤¶ÈÏà±È¶Ô£¬²âµÃµÄ¸Ö³ßµÄʵ¼Ê³¤¶È£¬Ò»°ãÀ´Ëµ£¬¸Ö³ßµÄÃûÒ峤¶ÈÓë±ê×¼³¤¶È´æÔÚÒ»¶¨µÄ³ß³¤Îó²î£¬ÐèÒª¶ÔËù²âÖ±Ïß³¤¶È½øÐг߳¤¸ÄÕý¡£ 8.ʲô½ÐÖ±Ïß¶¨Ïߣ¿±ê×¼·½ÏòÓм¸ÖÖ£¿Ê²Ã´ÊÇ×ø±ê·½Î»½Ç£¿
È·¶¨Ö±ÏßÓë±ê×¼·½ÏòµÄ¹ØÏµ£¨Ó÷½Î»½ÇÃèÊö£©³ÆÎªÖ±Ïß¶¨Ïò¡£±ê×¼·½ÏòÓÐÕæ×ÓÎçÏß·½Ïò¡¢´Å×ÓÎçÏß·½Ïò¡¢×ø±ê×ÝÖᣨXÖᣩ·½Ïò¡£ÓÉ×ø±ê×ÝÖá·½Ïò£¨XÖᣩµÄ±±¶Ë£¬Ë³Ê±ÕëÁ¿ÖÁÖ±ÏߵĽǶȣ¬³ÆÎªÖ±Ïß×ø±ê·½Î»½Ç 9.ÊÓ¾à²âÁ¿ÖÐÊÓÏßˮƽÓëÊÓÏßÇãбʱÇó¾àÀëºÍ¸ß²îµÄ¹«Ê½ÊÇʲô£¿Ð´³ö¹«Ê½Öи÷·ûºÅµÄº¬Òå¡£
½øÐÐÊÓ¾à²âÁ¿£¬µ±ÊÓÏßˮƽʱ£¬¼ÆËãˮƽ¾àÀëµÄ¹«Ê½ÎªD?k?l£»¼ÆËã¸ß²îµÄ¹«Ê½Îªh?i?v ¡£
µ±ÊÓÏßÇãбʱ£¬¼ÆËãˮƽ¾àÀëµÄ¹«Ê½ÎªD?k?lcos?£»¼ÆËã¸ß²îµÄ¹«Ê½Îªh?21klsin2??i?v¡£ 2 ʽÖУºD£ºÁ½µãÖ®¼äµÄˮƽ¾àÀ룻h£ºÁ½µãÖ®¼äµÄ¸ß²î£»k£ºÊÓ¾à²âÁ¿³Ë³£ÊýÒ»°ãΪ100£»l£º³ß¼ä¸ô£»
?£ºÇãбÊÓÏßÊúÖ±½Ç£»i£ºÒÇÆ÷¸ß£»v£ºÖÐË¿¶ÁÊý¡£
Îå¡¢¼ÆËãÌâ
1.ÓøֳßÕÉÁ¿Ò»ÌõÖ±Ïߣ¬Íù²âÕÉÁ¿µÄ³¤¶ÈΪ217.30m£¬·µ²âΪ217.38m£¬½ñ¹æ¶¨ÆäÏà¶ÔÎó²î²»Ó¦´óÓÚ1/2000£¬ÊÔÎÊ£º £¨1£©´Ë²âÁ¿³É¹ûÊÇ·ñÂú×㾫¶ÈÒªÇ󣿣¨2£©°´´Ë¹æ¶¨£¬ÈôÕÉÁ¿100m£¬Íù·µÕÉÁ¿×î´ó¿ÉÔÊÐíÏà²î¶àÉÙºÁÃ×£¿ ½â£º¾ÝÌâÒâ
£¬
£¨1£© £¬´ËÕÉÁ¿½á¹ûÄÜÂú×ãÒªÇóµÄ¾«¶È¡£
£¨2£© ÉèÕÉÁ¿100£í¾àÀëÍù·µÕÉÁ¿°´´ËÒªÇóµÄ¾«¶ÈµÄÎó²îΪ?ʱ£¬Ôò?
£¬¼´Íù·µÕÉÁ¿½Ï²î×î´ó¿ÉÔÊÐíÏà²îΪ
¡£
£¬Ôò
2.¶Ôij¶Î¾àÀëÍù·µÕÉÁ¿½á¹ûÒѼǼÔÚ¾àÀëÕÉÁ¿¼Ç¼±íÖУ¬ÊÔÍê³É¸Ã¼Ç¼±íµÄ¼ÆË㹤×÷£¬²¢Çó³öÆäÕÉÁ¿¾«¶È¡£ ²âÏß AB Õû³ß¶Î Áã³ß¶Î ×Ü¼Æ ²îÊý ¾«¶È ƽ¾ùÖµ Íù 5?50 18.964 ·µ 4?50 46.456 22.300 ½â£º¾ÝÌâÒ⣬ ²âÏß £ÁB Íù ·µ Õû³ß¶Î 5*50 4*50 Áã³ß¶Î 18.964 46.564 22.300 ×Ü¼Æ 268.964 268.864 ²îÊý 0.10 1/2600 ¾«¶È ƽ¾ùÖµ 268.914 ×¢£º±íÖкóËÄÀ¸ÖеÄÊý×ÖΪ¼ÆËãÊý×Ö¡£ 3. ¼××éÕÉÁ¿ABÁ½µã¾àÀë,Íù²âΪ158.260Ã×£¬·µ²âΪ158.270Ãס£ÒÒ×éÕÉÁ¿CDÁ½µã¾àÀë,Íù²âΪ202.840Ã×£¬·µ²âΪ202.828Ãס£¼ÆËãÁ½×éÕÉÁ¿½á¹û£¬²¢±È½ÏÆä¾«¶È¸ßµÍ¡£
1(158.260?158.270)?158.265m 21 DCD?(202.840?202.828)?202.834m
2158.270?158.2601202.840?202.8281£¬KCD? KAB???158.26515826202.83416903½â£º DAB?ÒòΪKCD?KAB£¬ËùÒÔCD¶ÎÕÉÁ¿¾«¶È¸ß¡£
4.Îå±ßÐεĸ÷ÄÚ½ÇÈçͼ£¬1?2±ßµÄ×ø±ê·½Î»½ÇΪ30?£¬¼ÆËãÆäËü¸÷±ßµÄ×ø±ê·½Î»½Ç¡£
1 70? 120? 5
120? 2 145? 85? 3 4 ??????½â:?ºó??ǰ?180-?ÓÒ,ËùÒÔ£¬?23?65£¬?34?160£¬?45?220£¬?51?280£¬?12?30
5.
ÒÑÖª1?2±ßµÄ×ø±ê·½Î»½ÇΪ65?£¬Çó2?3±ßµÄÕý×ø±ê·½Î»½Ç¼°3?4±ßµÄ·´×ø±ê·½Î»½Ç¡£
N
210? 2
65? 1
165? 3
4
?????? ½â£º?ºó??ǰ?180??×ó£¬ËùÒÔ?23?95£¬?34?80£¬ËùÒÔ?43?80?180?2604
6. ¼××éÕÉÁ¿ABÁ½µã¾àÀë,Íù²âΪ267.398Ã×£¬·µ²âΪ267.388Ãס£ÒÒ×éÕÉÁ¿CDÁ½µã¾àÀë,Íù²âΪ202.840Ã×£¬·µ²âΪ202.828Ãס£¼ÆËãÁ½×éÕÉÁ¿½á¹û£¬²¢±È½ÏÆä¾«¶È¸ßµÍ¡£
1(267.398?267.388)?267.393m 21 DCD?(202.840?202.828)?202.834m
2267.398?267.3881202.840?202.8281KAB???£¬KCD?
267.39326739202.83416903½â£º DAB?ÒòΪKAB?KCD£¬ËùÒÔAB¶ÎÕÉÁ¿¾«¶È¸ß¡£
7. ¼××éÕÉÁ¿ABÁ½µã¾àÀë,Íù²âΪ267.398Ã×£¬·µ²âΪ267.388Ãס£ÒÒ×éÕÉÁ¿CDÁ½µã¾àÀë,Íù²âΪ198.840Ã×£¬·µ²âΪ198.828Ãס£¼ÆËãÁ½×éÕÉÁ¿½á¹û£¬²¢±È½ÏÆä¾«¶È¸ßµÍ¡£