OEF ¶¨»ý·Ö
--- ½éÉÜ ---
Õâ¸öÄ£¿éÄ¿Ç°°üº¬ 18 ¸ö¹ØÓÚµ¥±äÁ¿¶¨»ý·ÖµÄÀíÂÛÓë¼ÆËãµÄÁ·Ï°.
»¹ÓÐÆäËü¹ØÓÚ¶¨»ý·ÖÓ¦ÓõÄÄ£¿é:
OEF ¼¸ºÎ»ý·Ö ÒÔ¼°
OEF ÎïÀí»ý·Ö.
¸Ä±ä»ý·ÖÏÞ I
Éè
ÊÇÒ»¸öº¯ÊýÂú×ã
¼ÆË㺯Êý
.
¸Ä±ä»ý·ÖÏÞ Ib
Éè
ÊÇÒ»¸öº¯ÊýÂú×ã
. ¼ÆË㺯Êý
.
¸Ä±ä»ý·ÖÏÞ II
Éè
ÊÇÒ»¸öº¯ÊýÂú×ã
¼ÆË㺯Êý
.
»»Ôª I
Éè
ÊÇÁ¬Ðøº¯Êý. ΪÁ˶Զ¨»ý·Ö×÷ÈçϵıäÁ¿Ìæ»»,
ºÍ
Ó¦¸Ãȡʲôֵ?
»»Ôª II
Éè
ÊÇÁ¬Ðøº¯Êý. ΪÁ˶Զ¨»ý·Ö×÷ÈçϵıäÁ¿Ìæ»»,
ºÍ
Ó¦¸Ãȡʲôֵ?
º¯ÊýÓëµ¼Êý I
ÓпÉ΢º¯Êý
, Âú×ã
Óë
. Öµ
ÊÇʲô ? ÄãµÄ»Ø´ðµÄ¾«¶ÈÖÁÉÙÊÇ 1/10000.
º¯ÊýÓëµ¼Êý II
ÓпÉ΢º¯Êý
, Âú×ã
Óë
. Öµ
ÊÇʲô ? ÄãµÄ»Ø´ðµÄ¾«¶ÈÖÁÉÙÊÇ 1/10000.
º¯ÊýÓëµ¼Êý III
ÉèÓпÉ΢º¯Êý
Âú×ã
, ÆäÖÐ
Êdz£Êý. ÒÑÖª
Óë
,
µÄÖµÊÇʲô ?
ÄãµÄ»Ø´ðµÄ¾«¶ÈÖÁÉÙÊÇ 1/10000.
ÊýÖµ»ý·Ö
¼ÆËã»ý·Ö
´ïµ½¾«¶È 0.01 %.
Äæ¶àÏîʽ
º¯Êý
ÔÚÇø¼ä
ÉÏÊÇÁ¬ÐøÇÒÑϸñµ¥µ÷µÄ (ÑéÖ¤), ÆäÖÐ
,
. ÓÚÊÇÓж¨ÒåÔÚÇø¼ä
ÉϵÄÄ溯Êý
. ¼ÆËã»ý·Ö
Ìáʾ. ¶ÔÓÚÁ¬ÐøË«É亯Êý
, ÓÐ
.
Óö¨»ý·ÖË㼫ÏÞ I
ÀûÓö¨»ý·Ö¼ÆËãÒÔϼ«ÏÞ:
Óö¨»ý·ÖË㼫ÏÞ II
ÀûÓö¨»ý·Ö¼ÆËãÒÔϼ«ÏÞ:
Óö¨»ý·ÖË㼫ÏÞ III
ÀûÓö¨»ý·Ö¼ÆËãÒÔϼ«ÏÞ:
º¯Êýƽ¾ùÖµ
¼ÆË㺯Êý
ÔÚÇø¼ä [,] ÉϵÄƽ¾ùÖµ.
Õý¸ºÐÔ II
¼ÙÉèÓÐÁ½¸ö¶¨ÒåÔÚÇø¼ä [0,1] ÉϵÄÁ¬Ðøº¯Êý
ºÍ
, ʹµÃ
. ÔÚÒÔÏÂÓйغ¯Êý
ºÍ
µÄÐÔÖÊÖÐ, È·¶¨ÄãÈÏΪµÄÐÔÖÊ.
Õý¸ºÐÔ
¼ÙÉèÓж¨ÒåÔÚÇø¼ä [0,1] ÉϵÄÁ¬Ðøº¯Êý
, ʹµÃ
. ÔÚÒÔÏÂÓйغ¯Êý
µÄÐÔÖÊÖÐ, È·¶¨ÄãÈÏΪµÄÐÔÖÊ.
¶¨»ý·ÖÓëÃæ»ý 1
¼ÆËã
.
ÒÑÖª
=
. ÏÂÃæÊǺ¯Êý
µÄͼÐÎ :
xrange -2, yrange , hline 0,0,black vline 0,0,black line 0,,1,,yellow trange 0, plot black,t, trange -2, line 1,,1,,black dline 1,,1,,black line 0,,0,,black text black,-0.2,-0.2,medium,0 text black,0.6,-0.2,medium,1 gridfill ,*4/5,5,5, gridfill /2,*4/5,5,5, transparent yellow
Íê³ÉÒÔϽáÂÛ :
±ê³öÇøÓòµÄÃæ»ý´ú±íµ±
Ç÷ÓÚ
ʱ
µÄ
±ê³öÇøÓòµÄÃæ»ý´ú±íµ±
Ç÷ÓÚ
ʱ
µÄ
¼ÆËãµ±
+ Óëµ±
0 ʱ
µÄ¼«ÏÞ. Ô¼¶¨ : ÊäÈëʱÓà inf ´ú±í +, Óà -inf ´ú±í - ; Èç¹û¼«ÏÞ²»´æÔÚ, Ôò»Ø´ð "no".
¶¨»ý·ÖÓëÃæ»ý 2
Soit
.
¼ÆËã
.
ÒÑÖª
. ÓÉ
¶¨ÒåµÄº¯Êý
µÄͼÏñÈçÏ :
xrange -0.2,4*pi yrange -*5/4,*5/4 hline 0,0,black vline 0,0,black plot black, gridfill pi/2,*4/5,10,10,blue gridfill 3*pi/2,*4/5,10,10,blue gridfill 5*pi/2,*4/5,10,10,blue gridfill 7*pi/2,*4/5,10,10,blue
¼ÆËã
.
Ô¼¶¨ : Èç¹û¼«ÏÞ²»´æÔÚ, »Ø´ð no; Èç¹û¼«ÏÞÊÇÎÞÇî´ó, »Ø´ð inf.
The most recent version
ÓÉÓÚ WIMS ²»ÄÜʶ±ðÄúµÄä¯ÀÀÆ÷, ±¾Ò³²»ÄÜÕý³£ÏÔʾ.
Çë×¢Òâ: WIMS µÄÍøÒ³Êǽ»»¥Ê½µÄ: ËüÃDz»ÊÇͨ³£µÄ HTML Îļþ. Ö»ÄÜÔÚÏß½»»¥µØ
ʹÓÃ. ÄúÓÃ×Ô¶¯»¯³ÌÐòÊÕ¼¯µÄÍøÒ³ÊÇÎÞÓõÄ.
- Description: Ò»×é¹ØÓÚµ¥±äÁ¿¶¨»ý·ÖµÄÁ·Ï° (ÀíÂÛ¼°¼ÆËã). exercises interactifs, calcul et trac� de graphes en ligne
- Keywords: interactive mathematics, interactive math, server side interactivity, analysis, integral, definite integral