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  1.  
  2. <center><h3>OEF¸ñʽϽ»»¥Ê½Á·Ï°µÄÀý</h3></center> <p>
  3.  
  4. ÒÔÏÂÊÇ¿ÉÀûÓÃCreatexo´´½¨µÄ½»»¥Ê½Á·Ï°µÄÀý×Ó.
  5. <ol>
  6. <p><hr width=50%> <p>
  7. <li> <b>2άÏòÁ¿µÄ³¤¶È</b>, ƽÃæÄÚÏòÁ¿µÄ³¤¶ÈµÄ¼òµ¥¼ÆËã.
  8. ÏÂÃæÊÇÕâ¸öÁ·Ï°µÄÍêÕûÔ´´úÂë.
  9. <p><pre>
  10. \title{2άÏòÁ¿µÄ·¶Êý}
  11. \language{cn}
  12. \computeanswer{no}
  13. \format{html}
  14.  
  15. \integer{x=random(-10..10)}
  16. \integer{y=random(-10..10)}
  17. \real{norm=sqrt((\x)^2+(\y)^2)}
  18. \statement{R<sup>2</sup>ÖÐÏòÁ¿(\x,\y)µÄ³¤¶ÈÊÇʲô?}
  19.  
  20. \hint{ÏòÁ¿(x,y)µÄ³¤¶ÈµÈÓÚsqrt(x^2+y^2).}
  21. \answer{³¤¶È}{\norm}
  22. </pre> <p>
  23.  
  24. ÔÚÕâ¸öÁ·Ï°ÖÐ, ¶¨ÒåÁËÁ½¸öËæ»úÕûÊýxÓëy, ËüÃÇÊÇÏòÁ¿µÄ×ø±ê.
  25. µÚÈý¸ö²ÎÊýÊÇʵÊý, Óɳ¤¶È¹«Ê½ËùÈ·¶¨. ±¾Á·Ï°²ÉÈ¡×ÔÓɸñʽµÄ»Ø´ð,
  26. ÆäÃû³ÆÊÇ``³¤¶È'', ÆäÕýÈ·»Ø´ðÓ¦¸ÃÊǵÚÈý¸ö²ÎÊý``·¶Êý''µÄÖµ.
  27. ±¾Á·Ï°×¼±¸ÁËÒ»¸öÌáʾ, Ëü¸´Ï°Á˳¤¶È¹«Ê½. <p>
  28. Äã¿ÉÒÔ
  29. !set parm=oef_answercnt=1&oef_choicecnt=0&oef_title=2άÏòÁ¿µÄ·¶Êý&oef_format=html&oef_computeanswer=no&level=2&oef_parms=%5Cinteger%7Bx%3Drandom%28-10..10%29%7D%0D%0A%5Cinteger%7By%3Drandom%28-10..10%29%7D%0D%0A%5Creal%7Bnorm%3Dsqrt%28%28%5Cx%29%5E2%2B%28%5Cy%29%5E2%29%7D&oef_statement=R%3Csup%3E2%3C%2Fsup%3EÖÐÏòÁ¿%28%5Cx%2C%5Cy%29µÄ³¤¶ÈÊÇʲô&ansprompt1=³¤¶È&ansgood1=%5Cnorm&oef_hint=ÏòÁ¿%28x%2Cy%29µÄ³¤¶ÈfµÈÓÚ%0D%0Asqrt%28x%5E2%2By%5E2%29.&oef_solution= $
  30. !href cmd=reply&mode=guided&$parm ½«´ËÀý×Ó¶ÁÈë²Ëµ¥
  31. ÒÔ²âÊÔËü. (ÄãÒ²¿ÉÒÔÔÚ¼ò½àģʽÏ°ÑÔ´´úÂ븴ÖÆÈë²Ëµ¥.)
  32.  
  33. <p><hr width=50%> <p>
  34. <li> <b>2x2¾ØÕóµÄ¼£</b>, ¼ÆËã¾ØÕóµÄ¼£. ΪÁ˸üºÃµØÏÔʾ¾ØÕó,
  35. ʹÓÃÁËTeX¸ñʽ(¿ÉϧĿǰÔÚTeX¸ñʽµÄ³ÂÊöÀﻹ²»ÄÜʹÓÃÖÐÎÄ). ÏÂÃæÊÇÁ·Ï°µÄÍêÕûÔ´´úÂë.
  36. <p><pre>
  37. \title{2x2¾ØÕóµÄ¼£}
  38. \language{en}
  39. \computeanswer{yes}
  40. \format{tex}
  41.  
  42. \integer{range=20}
  43. \integer{a=random(-\range..\range)}
  44. \integer{b=random(-\range..\range)}
  45. \integer{c=random(-\range..\range)}
  46. \integer{d=random(-\range..\range)}
  47. \integer{trace=(\a)+(\d)}
  48. \statement{Compute the trace of the matrix
  49. $$\pmatrix{\a&\b\cr \c&\d}$$.}
  50.  
  51. \answer{¼£}{\trace}
  52. </pre> <p>
  53. ÎÒÃÇÊ×Ïȶ¨ÒåÁËÕûÊý``range''ÓÃ×÷¾ØÕóÔªËØa,b,c,dµÄËæ»úÊýÖµµÄ½ç.
  54. ¾ØÕóµÄ¼£µ±È»¶¨ÒåΪ¶Ô½ÇÏßÔªËØÖ®ºÍ. Çë×¢ÒⶨÒå
  55. <tt>trace=(\a)+(\d)</tt>: ÆäÖÐÀ¨ºÅ¶ÔÊDZØÒªµÄ, ÒòΪÌæ»»ÊÇ°´×ÖÃæÒâÒåÖ´ÐеÄ.
  56. Èç¹ûÄ㶨Òå<tt>trace=\a+\d</tt>, ¶øÇÒaºÍb·Ö±ðÈ¡Öµ3Óë-15,
  57. Ä㽫µÃµ½<tt>trace=3+-15</tt>, ÕâÊÇÒ»¸ö´íÎóµÄÊýѧ±í´ïʽ. <p>
  58. Çë×¢ÒâÔÚÕâ¸öÁ·Ï°ÀïÔÊÐíδ¾­¼ÆËãµÄ»Ø´ð
  59. (ÀýÈç2+15»ò3*105). <p>
  60. Äã¿ÉÒÔ
  61. !set parm=oef_answercnt=1&oef_choicecnt=0&oef_title=2x2¾ØÕóµÄ¼£&oef_format=tex&oef_computeanswer=yes&level=2&oef_parms=%5Cinteger%7Brange%3D20%7D%0D%0A%5Cinteger%7Ba%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bb%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bc%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bd%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Btrace%3D%28%5Ca%29%2B%28%5Cd%29%7D&oef_statement=Compute the trace of the matrix%0D%0A%24%5Cpmatrix%7B%5Ca%26%5Cb%5Ccr %5Cc%26%5Cd%7D%24.&ansprompt1=¼£&ansgood1=%5Ctrace&oef_hint= &oef_solution= $
  62. !href cmd=reply&mode=guided&$parm ½«´ËÀý×Ó¶ÁÈë²Ëµ¥
  63.  ÒÔ²âÊÔËü. (ÄãÒ²¿ÉÒÔÔÚ¼ò½àģʽÖаÑÔ´´úÂ븴ÖÆÈë²Ëµ¥.)
  64.  
  65.  
  66. </ol>
  67.  
  68.