ÒÑÖªº¯Êý
¡£
£¨I£©Çóº¯Êý
µÄ¼«Öµ£»
£¨II£©¶ÔÓÚÇúÏßÉϵIJ»Í¬Á½µãP1£¨x1,y1£©£¬P2£¨x2,y2£©£¬Èç¹û´æÔÚÇúÏßÉϵĵãQ£¨x0,y0£©£¬ ÇÒx1<x0<x2£¬Ê¹µÃÇúÏßÔÚµãQ´¦µÄÇÐÏß
//P1P2,£¬Ôò³Æ
ΪÏÒP1P2,µÄ°éËæÇÐÏß¡£
ÌØ±ðµØ£¬µ±x0 =
x1 + (1-
)x2
(0<
<1)ʱ£¬ÓÖ³Æ
ΪÏÒP1P2,µÄ
-°éËæÇÐÏß¡£
£¨i£©ÇóÖ¤£ºÇúÏßy=f(x)µÄÈÎÒâÒ»ÌõÏÒ¾ùÓаéËæÇÐÏߣ¬²¢ÇÒ°éËæÇÐÏßÊÇΨһµÄ£»
£¨ii£©ÊÇ·ñ´æÔÚÇúÏßC£¬Ê¹µÃÇúÏßCµÄÈÎÒâÒ»ÌõÏÒ¾ùÓÐ
-°éËæÇÐÏߣ¿Èô´æÔÚ£¬¸ø³öÒ»ÌõÕâÑùµÄÇúÏߣ¬²¢Ö¤Ã÷ÄãµÄ½áÂÛ£»Èô²»´æÔÚ£¬ËµÃ÷ÀíÓÉ¡£
½â£º£¨I£©![]()
µ±
£¬º¯Êý
ÔÚ
ÄÚÊÇÔöº¯Êý£¬
º¯Êý
ûÓм«Öµ¡£¡¡3·Ö
µ±a<0ʱ£¬Áî
£¬µÃ
¡£
µ±x±ä»¯Ê±£¬
Óë
±ä»¯Çé¿öÈçÏÂ±í£º
|
x |
|
|
|
|
f`(x) |
+ |
0 |
- |
|
f(x) |
µ¥µ÷µÝÔö |
¼«´óÖµ |
µ¥µ÷µÝ¼õ |
µ±
ʱ£¬f(x)È¡µÃ×î´óÖµf(
)=-1+ln(
)¡£×ÛÉÏ£¬µ±
ʱ£¬f(x)ûÓм«Öµ£»
µ±a<0ʱ£¬f(x)µÄ¼«´óֵΪ-1+ln(
)£¬Ã»Óм«Ð¡Öµ¡£¡¡¡¡¡¡¡¡¡¡¡¡5·Ö
£¨II£©£¨i£©ÉèP1(x1,f(x1)),P2(x2,f(x2))ÊÇÇúÏßy=f(x)ÉϵÄÈÎÒâÁ½µã£¬ÒªÖ¤Ã÷ÏÒP1P2ÓаéËæÇÐÏߣ¬Ö»ÐèÖ¤Ã÷´æÔÚµãQ(x0,f(x0))£¬x1<x0<x2£¬Ê¹µÃ
£¬
ÇÒµãQ²»ÔÚP1P2ÉÏ¡£¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡7·Ö
£¬¼´Ö¤´æÔÚ
£¬Ê¹µÃ
£¬¼´
³ÉÁ¢£¬ÇÒµãQ²»ÔÚP1P2ÉÏ¡£
ÒÔÏÂÖ¤Ã÷·½³Ì
ÔÚ£¨x1,x2£©ÄÚÓн⡣
¼ÇF(x)=
£¬ÔòF(x)=
£¬Áîg(t) = lnt - t + 1£¬t>1¡£
£¬
g(t)ÔÚ
ÄÚÊǼõº¯Êý£¬
g(t)
<g(1)=0¡£È¡
£¬Ôò
£¬¼´F(x1)<0¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡9·Ö
ͬÀí¿ÉÖ¤F(x2)>0,
F(x1)F(x2)<0¡£
º¯ÊýF(x)=
ÔÚ£¨x1,x2£©ÄÚÓÐÁãµã¡£
¼´·½³Ì
=0ÔÚ£¨x1,x2£©ÄÚÓнâx=x0¡£¡¡¡¡¡¡¡¡¡¡10·Ö
ÓÖ¶ÔÓÚº¯Êýg(t)= lnt - t + 1£¬È¡t=
£¬Ôò
£¬
¿ÉÖª
£¬¼´µãQÔÚP1P2ÉÏ¡£F(x)ÊÇÔöº¯Êý£¬
F(x)µÄÁãµãÊÇΨһµÄ£¬
¼´·½³Ì
=0ÔÚ£¨x1,x2£©ÄÚÓÐΨһ½â¡£
×ÛÉÏ£¬ÇúÏßy=f(x)ÉÏÈÎÒâÒ»ÌõÏÒ¾ùÓаéËæÇÐÏߣ¬²¢ÇÒ°éËæÇÐÏßÊÇΨһµÄ¡£¡¡¡¡¡11·Ö
£¨ii£©È¡ÇúÏßC£ºy=h(x)=x2£¬ÔòÇúÏßy=h(x)µÄÈÎÒâÒ»ÌõÏÒ¾ùÓÐ
-°éËæÇÐÏß¡£
Ö¤Ã÷ÈçÏ£º
ÉèR£¨x3,y3£©,S(x4,y4)ÊÇÇúÏßCÉÏÈÎÒâÁ½µã£¨x3
y4£©£¬
Ôò![]()
ÓÖ![]()
¼´ÇúÏßC£ºy=x2µÄÈÎÒâÒ»ÌõÏÒ¾ùÓÐ
-°éËæÇÐÏß¡£¡¡¡¡¡¡¡¡¡¡¡¡¡¡14·Ö
| Äê¼¶ | ¸ßÖÐ¿Î³Ì | Äê¼¶ | ³õÖÐ¿Î³Ì |
| ¸ßÒ» | ¸ßÒ»Ãâ·Ñ¿Î³ÌÍÆ¼ö£¡ | ³õÒ» | ³õÒ»Ãâ·Ñ¿Î³ÌÍÆ¼ö£¡ |
| ¸ß¶þ | ¸ß¶þÃâ·Ñ¿Î³ÌÍÆ¼ö£¡ | ³õ¶þ | ³õ¶þÃâ·Ñ¿Î³ÌÍÆ¼ö£¡ |
| ¸ßÈý | ¸ßÈýÃâ·Ñ¿Î³ÌÍÆ¼ö£¡ | ³õÈý | ³õÈýÃâ·Ñ¿Î³ÌÍÆ¼ö£¡ |
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º2012-2013ѧÄêºþ±±Ê¡¾£ÖÝÊиßÈý£¨ÉÏ£©12ÔÂÖÊÁ¿¼ì²éÊýѧÊÔ¾í¢ñ£¨Àí¿Æ£©£¨½âÎö°æ£© ÌâÐÍ£º½â´ðÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º2012-2013ѧÄêɽ¶«Ê¡ÁÙÒÊÊÐÁÙãðÏØ¸ßÈý£¨ÉÏ£©ÆÚÖÐÊýѧÊÔ¾í£¨Àí¿Æ£©£¨½âÎö°æ£© ÌâÐÍ£º½â´ðÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º2012-2013ѧÄêÁÉÄþʡʵÑéÖÐѧ¸ßÈý£¨ÉÏ£©µÚ¶þ´ÎÔ¿¼ÊýѧÊÔ¾í£¨Àí¿Æ£©£¨½âÎö°æ£© ÌâÐÍ£º½â´ðÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º2012ÄêÌì½òÊкӱ±Çø¸ß¿¼ÊýѧһģÊÔ¾í£¨Àí¿Æ£©£¨½âÎö°æ£© ÌâÐÍ£º½â´ðÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º2013Äê±±¾©ÊÐ˳ÒåÇø¸ß¿¼Êýѧ¶þÄ£ÊÔ¾í£¨ÎĿƣ©£¨½âÎö°æ£© ÌâÐÍ£º½â´ðÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¹ú¼ÊѧУÓÅÑ¡ - Á·Ï°²áÁбí - ÊÔÌâÁбí
ºþ±±Ê¡»¥ÁªÍøÎ¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨Æ½Ì¨ | ÍøÉÏÓк¦ÐÅÏ¢¾Ù±¨×¨Çø | µçÐÅթƾٱ¨×¨Çø | ÉæÀúÊ·ÐéÎÞÖ÷ÒåÓк¦ÐÅÏ¢¾Ù±¨×¨Çø | ÉæÆóÇÖȨ¾Ù±¨×¨Çø
Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com