GeoGebraÏÂÔØ¡£GeoGebra°²×¿°æÊÇÒ»¿îȫй¹½¨µÄ¼¸ºÎͼÐÎÊÖ»úÈí¼þ¡£¿Í»§Äܹ»ÔÚ´Ë¿îϵͳÉÏÃÀÊõ»æ»µã¡¢¿Õ¼äÏòÁ¿¡¢Ö±Ïß¡¢Æ½ÐÐÏß¡¢²»¹æÔòͼÐΡ¢Ô²×¶ÇúÏߣ¬ÄËÖÁÊǺÊýÕâЩ£¬ÓÐÐëÒªµÄ¿Í»§Ç§Íò±ð´í¹ýÁË¡£
GeoGebra ×÷ÓÃ
GeoGebra ¼¸ºÎͼÐζԻ°¿ò
Äܹ»ÒÀ¿¿¹¤¾ßÀ¸ÖÐËù³öʾµÄ×öͼ¹¤¾ß£¬ÔÚ¼¸ºÎͼÐÎÇøÖÐÔËÓõçÄÔÊó±ê¿ªÕ¹¼¸ºÎͼÐÎ×öͼ¡£´Ó¹¤¾ßÀ¸ÖÐѡȡÔÚÆäÖÐÒ»ÖÖ×öͼ¹¤¾ß£¬¿ÉÒÀ¿¿¹¤¾ßÓ¦ÓÃÌáÐÑ£¨ÔÚ¹¤¾ßÀ¸ºó²Å£©À´»ñÖªÔõôʹÓÃËùÌôÑ¡µÄ¹¤¾ß¡£Ò»ÇÐÔÚ¼¸ºÎͼÐÎÇøÖÐËùÔì³ÉµÄ¶ÔÏó£¬ÔÚ´úÊýÇøÉ϶¼ÓÐÒ»¸ö´úÊýÌØµã¡£
×¢£º»¹¿ÉÒÔ²ÉÓõçÄÔÊó±êÍÏ×§À´Å²¶¯¼¸ºÎͼÐÎÇøÖеĶÔÏ󣬴úÊýÇøÓòÄڵĴúÊýÌØµãÒ²»áÓë´Ëͬʱ¶¯Ì¬¸üС£
¹¤¾ßÀ¸ÖеÄÿһ¸ö±êÖ¾Òâζ×ÅÒ»¸ö¹¤¾ßºÐ£¬¹¤¾ßͬ×é°üÀ¨Ò»Ð©ÀàËÆ×÷ÓõÄ×öͼ¹¤¾ß£¬¿ÉÒÔÓÃÊó±ê×ó¼ü°´×¡±êÖ¾ÓÒÏ·½µÄС¼ýÍ·À´¿ªÆô¸Ã¹¤¾ßºÐ¡£
ÌáÐÑ£º
×öͼ¹¤¾ßÊǰ´ÕÕÔì³ÉÎï¼þµÄ±¾ÖÊÉÏÀ´¹éÀàµÄ¡£È磺Äܹ»Ôڵ㹤¾ßºÐ£¨Ä¬ÈÏÉèÖñê־Ϊ £©¼°¼¸ºÎ±ä»»¹¤¾ßºÐ£¨Ä¬ÈÏÉèÖñê־Ϊ £©ÕâÁ½´óÀ๤¾ßÖУ¬Ôì³É²»Ò»ÑùÖÖÀàµÄµã¡£
GeoGebra ´úÊý¶Ô»°¿ò
Äܹ»ÔÚGeogebrarÃüÁîÇøÖÐͬʱ¼üÈë´úÊý¹ØÏµÊ½£¬ÔÙ°´×¡Enter¼üºó£¬ËùÌîдµÄ´úÊý¹ØÏµÊ½»áÔÚ´úÊýÇøÓòÄÚ·¢Éú£¬Óë´ËͬʱÔÚ¼¸ºÎͼÐÎÇøÓòÄÚ·¢ÉúÏàÓ¦µÄͼÐÍ¡£
ÔÚ´úÊýÇøÖУ¬Êýѧ¿Î¶ÔÏó±»·ÖÀà³ÉËæÒâ¶ÔÏóºÍ¼Ì³Ð¶ÔÏó¡£¼ÙÈçÔì³ÉÒ»¸ö¶ÔÏó¶øÎ´²ÉÓÃÒ»Çмº¾³öÏֵĶÔÏó£¬Ôò±»¹éÄÉÎªËæÒâ¶ÔÏó¡£ÈôÐÂÐγɵĶÔÏóÊDzÉÓñðµÄÔçÒѳöÏֵĶÔÏó¶øÔì³É£¬Ôò·ÖÀàΪ¼Ì³Ð¶ÔÏó¡£
ÌáÐÑ£ºÌÈÈôÒªÏëÑÚ²ØÔÚ´úÊýÇøÓòÄÚµÄÌØµã£¬Äܹ»½«¶ÔÏóÌØ¶¨ÎªÝoÖú¶ÔÏó£¬×÷·¨ÈçÏÂËùʾ£ºÔÚ´úÊýÇøÖУ¬ÔÚ¶ÔÏóÉϵãÊó±êÓÒ¼ü£¬ÔÚÊó±êÓÒ¼ü²Ëµ¥ÖÐÌôÑ¡¡°ÝoÖú¶ÔÏó¡±£¬»òÊÇÔÚµ¯³öÀ´²Ëµ¥ÖÐÑ¡Ôñ¡°ÌØÐÔ¡±£¬ÔÚÌØÐÔÌáʾ¿òÖÐÌôÑ¡±êʶ¡°»ù±¾ÉÏ¡±£¬ËæºóÔÚ¡°ÝoÖú¶ÔÏó¡±Ñ¡ÔñÏîǰ¹´Ñ¡¿òÖдò¶Ô¹´¡£ÒÀ¾ÝϵͳµÄĬÈÏÉèÖ㬡°ÝoÖú¶ÔÏó¡±ÊDz»¿ÉÄÜ·¢ÉúÔÚ´úÊýÇøÖУ¬¿ÉÊÇÄܹ»ÔÚ¡°²éѯ¡±²Ëµ¥ÖÐÑ¡Ôñ¡°ÝoÖú¶ÔÏó¡±£¬ËæºóÔÚ´úÊýÇøÖоͿÉÒÔ¿´µ½ÁË¡£
Äܹ»¸Ä¶¯´úÊýÇøÓòÄڵĶÔÏó£ºÏÈÈ·¶¨ÒÑÑ¡ÔñŲ¶¯¹¤¾ß£¬ËæºóË«»÷Êó±ê´úÊýÇøÓòÄڵĶÔÏó£¬Äܹ»ÔÚÎı¾¸ñ×ÓÖÐÁ¢¼´±àд¶ÔÏóµÄ´úÊýÌØµãÊý¾ÝÐÅÏ¢£¬ÔÙ°´×¡Enter¼üºó£¬¶ÔÏóµÄͼÐÍÌØµãÒ²»áËæ×Ÿü¸Ä¡£ÈôË«»÷Êó±ê´úÊýÇøÓòÄڵļ̳жÔÏóʱ£¬Äܹ»ÔÚ·¢ÉúµÄ´°¿ÚÖС°³¹µ×¸Ä±ä¡±¶ÔÏó¡£
GeogebraÒ²¸øÓèºÜ¶àÃüÁÄܹ»ÔÚÃüÁîÇøµÄÓҲఴס¡®Command¡¯°´¼üÀ´´ò¿ªÃüÁî¶Ô»°¿ò±í£¬Ôڲ˵¥ÖÐÑ¡ÔñÒ»¸öÃüÁîºó£¨»òÊÇͬʱÔÚÃüÁîÎı¾¿òÖмüÈëÃüÁ£¬ÔÙ°´×¡F1¼ü»ñµÃ¸ÃÃüÁîµÄ¾ä·¨½á¹¹¼°ÆäËùÐëÒªµÄ¼¼Êõ²ÎÊýµÈÐÅÏ¢ÄÚÈÝ¡£
GeoGebra ¹¤×÷±í¶Ô»°¿ò
ÔÚGeogebraµÄ¹¤×÷±íÇøÖУ¬Ã¿Ò»¸öµ¥Ôª¸ñ¶¼ÊÇÓÐÌØ¶¨Ãû×Ö£¬ÓÃÓÚÌØ¶¨µ¥Ôª¸ñµÄ²¿Î»¡£ÕâÒ»µãÀàËÆofficeµÄ¹¤×÷±í¡£±ÈÈçÔÚAÁеÚ1Ðеĵ¥Ôª¸ñµÄÃû×ÖΪA1.
×¢£ºµ±µ¥Ôª¸ñÃû×ÖÓÃÔÚ¹ØÏµÊ½»òÊÇÃüÁîÀïʱ£¬µ¥Ôª¸ñÃû×ÖÒâζ×ŵÄÊǸõ¥Ôª¸ñÄÚµÄÐÅÏ¢Êý¾ÝÐÅÏ¢£¬Õâһȫ¹ý³Ì³ÆÖ®Îªµ¥Ôª¸ñÊý¾ÝÐÅÏ¢ÒýÈë¡£
ÔÚ¹¤×÷±íÖУ¬²»½öÄܹ»¼üÈë±êÖµ£¬»¹¿ÉÒÔ¼üÈëÈ«²¿GeogebraËùÖ§³ÅµÄÊýѧ¿Î¶ÔÏó£¬ÈçµãµÄ×ù±ê¡¢ºÊý¡¢ÃüÁîµÈ¡£ÔÚ¹¤×÷±íÖÐËùÌîдµÄÊýѧ¿Î¶ÔÏó£¬Geogebra»áÖ±½ÓÔÚ¼¸ºÎͼÐÎÇøÖбíÃ÷ÆäͼÏñÌØµã£¬²¢ÇÒ¶ÔÏóµÄÃû×Ö»áÏàÆ¥Å乤×÷±íÖеIJ¿Î»£¬ÈçA5,C3µÈ¡£
×¢£ºÒÀ¾Ý³ÌÐòÁ÷³ÌĬÈÏÉèÖ㬹¤×÷±íÖеĶÔÏóÔÚ´úÊýÇøÖб»¹éÄÉΪÝoÖú¶ÔÏó¡£
ÄÄÒ»¸öÍøÕ¾ÊʺÏѰÕÒÎïÆ·£¿Ñ°ÕÒÎïÌåµÄÈí¼þÊÇ·ñÈ¡¾öÓÚ¹âÆ×£¿ÓÃÓÚ²éÕÒ¶ÔÏóµÄÈí¼þÊÇÕæµÄÂð£¿Óë¶ÔÏóÁÄÌìµÄÃâ·ÑÈí¼þÊÇʲô£¿Ñ°ÕÒÎïÌåµÄÓ¦ÓóÌÐòÊÇÒ»¸öµ¥ÉíÄÐÅ®µÄÔ¼»áƽ̨¡£²éÕÒ¶ÔÏóÈí¼þµÄ·þÎñ¶ÔÏóÖ÷ÒªÊǹ«ÖڵĻù²ãȺÌå¡£ÕâЩÓÃÓÚ²éÕÒ¶ÔÏóµÄÃâ·ÑÈí¼þÒ×ÓÚʹÓᢳɱ¾Ð§Òæ¸ßÇҳɱ¾Ð§Òæ¸ß¡£Ê¹Ó÷½±ã£¬Í¨¹ýÃâ·ÑµÄÕÒ¶ÔÏóÈí¼þ¿ÉÒÔ¿ìËÙÕÒµ½Áé»êÆ¥ÅäµÄ¶ÔÏó£¡ÕÒµ½Ò»¸ö¸üÌùÐĵÄÌåÑéºÍʵÓù¦ÄܵÈÄãµÄÓ¦ÓóÌÐò¡£¶àÌØÊÖÓÎרÌâΪÄúÌṩÕÒ¶ÔÏóapp,ÕÒ¶ÔÏóÁµ°®Èí¼þ¡£°²×¿Æ»¹û°æÈí¼þappÒ»Ó¦¾ãÈ«¡£
¶àÌØÈí¼þվΪÄúÌṩÃâ·ÑµÄÃâ·Ñ´¦¶ÔÏóappרÌâ,ÔÚÕâÀﰲ׿°æÆ»¹û°æµÈÓ¦ÓÃÓ¦Óо¡ÓУ¬ÕÒÃâ·ÑµÄÃâ·Ñ´¦¶ÔÏóapp¾ÍÀ´¶àÌØÈí¼þÕ¾¡£
¶àÌØÈí¼þվΪÄúÌṩÃâ·ÑµÄÃâ·Ñµ¥ÉíÕÒ¶ÔÏóרÌâ,ÔÚÕâÀﰲ׿°æÆ»¹û°æµÈÓ¦ÓÃÓ¦Óо¡ÓУ¬ÕÒÃâ·ÑµÄÃâ·Ñµ¥ÉíÕÒ¶ÔÏó¾ÍÀ´¶àÌØÈí¼þÕ¾¡£
ÏàÇ×ÕÒ¶ÔÏóÒ»Ö±ÊǺܶàÄêÇáÈ˶¼ÔÚ·¢³îµÄÊÂÇ飬ÕâÀïС±à¸ø¸÷λµ¥ÉíÅóÓÑÃÇ´øÀ´×î¿¿Æ×µÄÕÒ¶ÔÏóÈí¼þ´óÈ«£¬µ¥ÉíµÄÅóÓÑÄêǰÄêºóÒ²ÄÜÕÒµ½ÊʺÏ×Ô¼ºµÄ¶ÔÏóÁË¡£
¶àÌØÈí¼þվΪÄúÌṩ×î䦶ÔÏóÈí¼þÈí¼þרÌâ,ÔÚÕâÀﰲ׿°æÆ»¹û°æµÈÓ¦ÓÃÓ¦Óо¡ÓУ¬ÕÒ×î䦶ÔÏóÈí¼þ¾ÍÀ´¶àÌØÈí¼þÕ¾¡£