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  1. <b>¶¯Ì¬¼¸ºÎ</b>
  2. (Ãû³Æ : <span class="tt">geogebra</span>)
  3.  
  4. Ò»¸ö¶¯Ì¬¼¸ºÎµÄСӦÓóÌÐò(applet) GeoGebra ÒѾ­¹«²¼.
  5. Óû§¿ÉÒÔÓÃËü×÷³öһЩ¶ÔÏó (µã, Ö±Ïß, Ô²µÈµÈ).
  6. ÕâÒ»ÖÖÀàÐ͵ĶÔÏó±ØÐëʹÓÃÃüÁî <span class="tt">\embed</span>
  7. <p>
  8. ºÏ¸ñµÄ»Ø´ðÓ¦¸Ã¾ßÓоØÕóµÄÐÎʽ.
  9. ÿһÐк¬ÓÐÒ»ÌõÏÂÊöÐÎʽµÄÖ¸Áî
  10. (f Ö¸ÐÎʽ, n Ö¸ÊýÖµ)
  11. <pre>
  12. n,"ÊýÖµÌõ¼þ",Îı¾
  13. f,"ÐÎʽÌõ¼þ",Îı¾
  14. n,"ÊýÖµ-ÐÎʽÌõ¼þ",Îı¾
  15. </pre>
  16. ÉÏÃæµÄÎı¾±»ÓÃÔÚ´ð°¸·ÖÎöÖÐ.
  17. Èç¹ûÃüÁîÖÐûÓÐÌṩÎı¾, Ôò»á¸ù¾ÝËù¸øÌõ¼þ¸ø³öÒ»¸öĬÈϵÄÎı¾;
  18. Èç¹ûÎı¾Ö»ÊÇ <span class="tt">hiden</span>,
  19. ÄÇôÕâ¸öÌõ¼þ½«²»»á³öÏÖÔÚ´ð°¸·ÖÎöÖÐ.
  20.  
  21. <ul><li><b>ÐÎʽÌõ¼þ</b> : ÔÚÁ·Ï°ÐðÊö»ò
  22. GeoGebra ¾ä·¨ (²Î¼û http://www.geogebra.org/help/docufr/ ) ÖбØÒªµÄ¶ÔÏó.
  23. ËüÃÇ¿ÉÒÔÓиöÃû×Ö (Èç¹ûÈ¡Á˲»ºÃµÄÃû×ֻᱻ¿Û·Ö).
  24. Èç¹ûÓкܶàÌõ¼þµÄ»°, ×îºÃÄܸø³öÃû×Ö.
  25. ÔÚ·ÖÎö´ð°¸Ê±, Ó¦¸Ã²»Ê¹ÓôúÈë¾ÍÄÜÑéÖ¤.
  26. Ò²¼ÓÈëÁ˸¨Öú²âÊÔ. ÀýÈçÈôÌõ¼þÊÇ
  27. <span class="tt">A=Centre[c]</span>, Èç¹ûÔÚÓû§µÄ»Ø´ðÀï³öÏÖÁË
  28. <span class="tt">c=Cercle[A,B]</span>, Ò²ÈÏΪÌõ¼þÂú×ã.
  29.  
  30. <p>Àý :
  31. <ul><li>
  32. <span class="tt">A=Point</span> : A Ó¦¸ÃÊÇÒ»¸öµã
  33. </li><li>
  34. <span class="tt">=Cercle[D,E]</span> : Ó¦¸ÃÓÐÒ»¸öÒÔ D ΪԲÐÄ, ͨ¹ý E µãµÄÔ² (ÕâÀïµÄÃû×ÖÎ޹ؽôÒª)
  35. </li><li>
  36. <span class="tt">c=Cercle[,B]</span> : Ó¦¸ÃÓÐÒ»¸öͨ¹ý B µãµÄÔ² c
  37. </li><li>
  38. <span class="tt">d2=Perpendiculaire[A,d1]</span> : d2 Ó¦¸Ãͨ¹ý A µãÇÒÓë d1 ´¹Ö±
  39. </li></ul>
  40. </li>
  41. <li><b>ÊýÖµÌõ¼þ</b> :
  42. ÊýÖµÌõ¼þÖÐÒÀ¾ÝµÄÊý¾ÝÓ¦¸ÃÊÇ:
  43. µã»òÏòÁ¿µÄ×ø±ê, Ö±Ïß»òÔ²µÄ·½³Ì, µÈµÈ. ÎÒÃÇ¿ÉÒÔʹÓà :
  44. <ul><li><span class="tt">x_A, y_A</span> :
  45. ±íʾµã <span class="tt">A</span> »òÏòÁ¿ <span class="tt">A</span> µÄ×ø±ê.</li>
  46. <li><span class="tt">R_c,x_c,y_c</span> :
  47. ±íʾԲ <span class="tt">c</span> µÄ°ë¾¶¼°ÆäÔ²ÐÄ×ø±ê.</li>
  48. <li><span class="tt">a_d, b_d, c_d, p_d, m_d</span> :
  49. ±íʾ·½³ÌΪ <span class="tt">ax + by = c</span> µÄÖ±Ïß <span class="tt">d</span> µÄ 3 ¸öϵÊý,
  50. ×ÝÖáÉϵĽؾàÒÔ¼°Ð±ÂÊ.
  51. </li>
  52. <li><span class="tt">v_ob</span> : ±íʾÃûΪ "ob" µÄ¶ÔÏóµÄÖµ, Õâ¸ö¶ÔÏó¿ÉÒÔÊÇ <span class="tt">segment(Ï߶Î), function(º¯Êý), angle(½Ç), numeric(ÊýÖµ), text(ÎÄ×Ö)</span>
  53. .</li>
  54. <li>
  55. <span class="tt">x2_c,y2_c,xy_c,x_c,y_c,cst_c</span> : ±íʾԲ׶ÇúÏß <span class="tt">c</span> µÄ·½³ÌµÄ
  56.  <span class="tt">x^2, y^2, x*y, x,y, 1</span> µÄϵÊý.
  57. </li>
  58. </ul>
  59. Ò²¿É²âÊÔ·½³Ì, ÀýÈç <span class="tt">eq_a:2x+y=3</span> (»ò <span class="tt">eq_:2x+y=3</span>
  60. Èç¹ûÖ±ÏßµÄÃû×Ö²»ÖØÒªµÄ»°) ÒÔ²âÊÔ 2x+y=3 ÊÇ·ñÖ±Ïß <span class="tt">a</span> µÄ·½³Ì.
  61. <p>
  62. <b>Àý</b> : <span class="tt">x_c>0 && y_c>0 & R_c<4</span> ÒªÇó²âÊÔÔ² <span class="tt">c</span>
  63. µÄÖÐÐÄÊÇ·ñÔÚµÚÒ»ÏóÏÞ, ËüµÄ°ë¾¶ÊÇ·ñСÓÚ 4.
  64. (×÷ÊýÖµ²âÊÔʱ¶ÔÏóµÄÃû×Ö²»ÄÜÊ¡ÂÔ.)
  65. ÔÚµÈʽµÄÇéÐÎʹÓòâÊÔ <span class="tt">==</span>. ½¨ÒéʹÓò»µÈʽ²âÊÔÈç : <span class="tt"> abs(x_c-1.2)<10^(-6)</span>
  66. ´úÌæµÈʽ²âÊÔ <span class="tt">x_c==1.2</span>.
  67. </li>
  68. <li><b>ÊýÖµ-ÐÎʽÌõ¼þ</b> : Æä¾ä·¨Í¬ÐÎʽÌõ¼þ,
  69. µ«ÊÇʹÓõÄÊǸ߾«¶È¼ÆËã
  70. (ĬÈϾ«¶ÈÊÇ 10^(-18)). ÃüÁîÄÚ
  71. Ó¦¸Ã¸ø³ö¶ÔÏóµÄÃû×Ö.
  72. ²âÊÔʱ°ÑÓû§ÔڻشðÖиø³öµÄÊý¾Ý´úÈë¼ÆËã.
  73. Ä¿Ç°ÄÜʹÓõÄÃüÁîºÜÉÙ (¼ûϱí).
  74. <p>
  75. <b>Àý</b> :
  76. <span class="tt">n, a=Droite[A,B] </span> : a Ó¦¸ÃÊÇͨ¹ý A ºÍ B µÄÖ±Ïß (ʹÓÃÊýÖµÑéÖ¤)
  77. <p>
  78. <b>¿ÉÓõÄÃüÁî </b> :
  79. <ul>
  80. <li><span class="tt">a=Droite[A,B] </span> : a ÊÇͨ¹ý A ºÍ B µÄÖ±Ïß
  81. </li><li><span class="tt">a=Mediatrice[A,B]</span> : a ÊÇ A ºÍ B µÄ´¹Ö±Æ½·ÖÏß
  82. </li><li><span class="tt">b=Perpendiculaire[A,a]</span> : b Êǹý A µãµÄ a µÄ´¹Ïß
  83. </li><li><span class="tt">C=Milieu[A,B]</span> : C ÊÇ A ºÍ B µÄÖеã
  84. </li><li><span class="tt">C=Bissectrice[A,B]</span>
  85. </li><li><span class="tt">c=Circle[A,B]</span> : c ÊÇÒÔ A ΪԲÐĹý B µãµÄÔ²
  86. </li><li><span class="tt">-30=AngleOriente[A,B,A,C]</span> : (AB,AC) ¹¹³ÉµÄÓÐÏò½ÇµÈÓÚ -30 ¶È
  87. </li><li><span class="tt">30=Angle[A,B,C]</span> : ½Ç ABC µÈÓÚ 30 ¶È</li>
  88. </ul>
  89. </li>
  90. </ul>
  91. <p>Ä¿Ç°Ö»ÓÐÒ»ÖÖ <span class="tt">geogebra</span> ÀàÐ͵Ļشð.
  92. ʹÓÃʱ±ØÐë³öÏÖÃüÁî <span class="tt">embed</span> :
  93. <pre>
  94. \embed{reply1,\option}
  95. </pre>
  96. ÕâÀï </tt>\option</tt> µÄµÚÒ»ÏîÓ¦¸ÃÊÇСӦÓóÌÐòÕ¼ÓõÄÏóËضàÉÙ (¿í x ¸ß).
  97. È»ºóÊÇСӦÓóÌÐò»òÃüÁîµÄÑ¡Ïî
  98. (Ô¤¶¨ÒåµÄ¶ÔÏó). Àý :
  99. <pre>
  100. showToolBar=true
  101. customToolBar=0|40|2|10
  102. A = (1,2)
  103. B = (-1,2)
  104. a = Droite[A,B]
  105. setFixed('A',true)
  106. setFixed('B',true)
  107. setAxesVisible(false,false)
  108. </pre>
  109. <b>¿ÉÄܵÄÑ¡Ïî</b>
  110. <pre>
  111. showToolBar (default : true)
  112. showMenuBar (default : false)
  113. showResetIcon(default : true)
  114. showToolBarHelp(default : true)
  115. enableRightClick(default : false)
  116. showAlgebraInput(default : false)
  117. customToolBar
  118. file
  119. </pre>
  120. ¿ÉÄܵÄÃüÁîÓÐ :
  121. <pre>
  122. evalCommand setValue setCoords setColor setVisible setLabelVisible setLabelStyle
  123. setFixed setTrace setAxesVisible setGridVisible setCoordSystem
  124. </pre>
  125. ¸ü¶àϸ½Ú¿É²Î¿´ GeoGebra ¹ØÓÚ méthodes javascript disponibles µÄ°ïÖú :<br>
  126. <a target='wims_external' href="http://www.geogebra.org/source/program/applet/geogebra_applet_javascript.html">
  127. http://www.geogebra.org/source/program/applet/geogebra_applet_javascript.html</a>
  128. <p>
  129. ±äÁ¿ <span class="tt">\reply</span><i>n</i> ÆäÖÐ <i>n</i> ÊǶàÐлشðµÄ±àºÅ.
  130. µÚÒ»Ðиø³ö¶ÔÏóµÄÊýÄ¿.
  131. ½ÓÏÂÈ¥µÄÐаüº¬Ã¿¸ö¶ÔÏóµÄ¶¨Òå (Ò»ÐÐÒ»¸ö¶ÔÏó),
  132. ÏÈÊÇÐÎʽµÄ, È»ºóÊÇÊýÖµµÄ.
  133. </p>
  134.  
  135. <p>±äÁ¿ <span class="tt">\sc_reply</span><i>n</i> µÄµÚÒ»ÐÐÊÇ : 0 (´íÎó»Ø´ð),
  136. 0.5 (Ö»ÊÇÃû×Ö´íÎó) »ò 1 (ÕýÈ·»Ø´ð);
  137. ÒÔºóÿһÐжÔÓÚÿ¸öÈϿɵĻشð¸ø³ö·ÖÊý (0, 0.5 »ò 1).
  138. </p>
  139.  
  140. <p><b>Ñ¡Ïî</b> :
  141. <ul>
  142. <li><span class="tt">max</span> СӦÓóÌÐòÄÚ¿ÉÒÔ¹¹×÷µÄ×î´ó¶ÔÏóÊý
  143. (ĬÈÏ : 10).
  144. </li><li><span class="tt">precision</span> : ¾ø¶Ô¾«¶È
  145. (×÷ÊýÖµ±È½ÏʱµÄСÊýλÊý, ĬÈÏ : 18).
  146. </li><li><span class="tt">idontknow</span> (<span class="tt">yes</span> »ò <span class="tt">no</span>, ĬÈÏ : <span class="tt">no</span>) :
  147. ÊÇ·ñÒªÔÚ°´Å¥ "·¢ËÍ" ÅÔÉèÁ¢°´Å¥ "ÎÒ²»ÖªµÀ".
  148. </li><li><span class="tt">extra</span> (<span class="tt">yes</span> »ò <span class="tt">no</span>, ĬÈÏ : <span class="tt">no</span>) :
  149. ÔÊÐí³öÏÖ¸½¼Ó¶ÔÏó (Èç¹ûÑ¡Ïî <span class="tt">extra</span> ²»ÊÇ <span class="tt">yes</span>,
  150. Èç¹ûѧÉú¹¹ÔìµÄ¶ÔÏ󳬳öÁ˱ê×¼´ð°¸Àï¸ø³öµÄ<i>ÐÎʽÌõ¼þ</i>, ¾Í»á±»¿Û·Ö)
  151. </li><li><span class="tt">output</span> : ¿ÉÄܵÄÖµÊÇ <span class="tt">coord</span> (ĬÈÏ),
  152. <span class="tt">formal</span>, <span class="tt">nothing</span>.
  153. Çø±ðÔÚÓÚÈçºÎ°ÑÓû§¹¹ÔìµÄ¶ÔÏóÔÚ´ð°¸·ÖÎöÀïÏÔʾ :
  154. <ul><li><span class="tt">coord</span> : Ìṩ¶ÔÏóµÄ×ø±ê</li>
  155. <li><span class="tt">nocoord</span> : Ö»ÌṩËù¹¹Ôì¶ÔÏóµÄÃû³Æ</li>
  156. <li><span class="tt">formal</span> : ÌṩÐÎʽ¹Øϵʽ</li>
  157. <li><span class="tt">nothing</span> : ²»ÌṩÈκζ«Î÷</li>
  158. </ul>
  159. </li><li><span class="tt">weights</span> (ĬÈÏ, 1&0.2&1) ×îÖյ÷ÖÓ¦¸ÃÊÇ 3 ¸ö·ÖÊý
  160. µÄ¼ÓȨƽ¾ùÖµ, ÕâÀï¸ø³öÓà "&" ·Ö¸ôµÄ 3 ¸öȨ.
  161. Õâ 3 ¸ö·ÖÊý·Ö±ðÊÇ: "ÐÎʽ²âÊÔ" (f) µÄµÃ·Ö,
  162. ËùÒªÇó¶ÔÏóµÄÃû×ֵ÷Ö, "ÊýÖµ²âÊÔ" (n) µÄµÃ·Ö.
  163. </li></ul>
  164.  
  165. <p><b>Ò»°ã×¢¼Ç</b> :
  166. <ul>
  167. <li>GeoGebra ¿ÉÔÚÒÔÏ¿âÖÐÕÒµ½
  168. <span class="tt">public_html/java/geogebra3</span>.
  169. ËüÒªÇ󱾵ؼÆËã»ú°²×°ÁË Java,
  170. ¶øÇÒʹÓà <span class="tt">geogebra</span> »Ø´ð»á¼õÂýÍøÒ³µÄ×°ÔØ.
  171. Òò´ËÖ»ÓбØҪʱ²ÅʹÓÃËü.
  172. </li>
  173. <li>WIMS ²»ÈÏʶÒÔ "My_" ÆðÊ×µÄÃû×Ö, ÓÉ´ËÒ²²»ÄÜÓÃÔڻشðÀï.
  174. </li>
  175. <li>
  176. ½Ç¶ÈµÄµ¥Î»×ÜÊǶÈ.
  177. </li><li>
  178. º¯Êý <span class="tt">f</span> µÄÃû×ÖÊÇ
  179. <span class="tt">f(x)</span>.
  180. Òò´ËʹÓÃʱӦд³ÉÈç <span class="tt">f(x)=sin(x)</span> µÄÐÎʽ.
  181. </li>
  182. </ul>
  183.  
  184.