d Ç ( Ç ( K d o Ç Ç ( d ( CLIFRNI TH SMPHN ( T Ç ( d d ( Ç ...
¿ç¿¿ëýõ õè÷ýýë
Transcript of ¿ç¿¿ëýõ õè÷ýýë
![Page 1: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/1.jpg)
ÕÈ×ÝÝË 28 Õ¿çãà 1á
2009-11-10
Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóëàõ
![Page 2: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/2.jpg)
![Page 3: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/3.jpg)
Çîðèëã
î
2.Ôóíêöèéí òóõàé
îéëãîëòûã öîãö áàéäëààð ýçýìøèõ
3.Ôóíêöèéí óëàìæëàë
àøèãëàí ãðàôèê áàéãóóëæ
ñóðàõ
1. Ôóíêöèéã øèíæèëæ
ñóðàõ
![Page 4: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/4.jpg)
Çîðèëò1.
Ôóíêöèéí òîäîðõîéëîã
äîõ ìóæ îëæ ñóðàõ
4. Ôóíêöèéí õàìãèéí èõ áà áàãà
óòãà îëæ , ãðàôèê
áàéãóóëàõ
![Page 5: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/5.jpg)
Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóëàõ
1-áàã•Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóë.
2-áàã
•Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóë.
3-áàã
•Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóë.
2 33y x x
3 23 1y x x
3 23 2y x x
![Page 6: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/6.jpg)
Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóëàõ
4-áàã
•Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóë.
5-áàã
•Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóë.
6-áàã
•Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóë.
3 23 9y x x x
2 48 2y x x
4 22 4y x x
![Page 7: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/7.jpg)
Æèøýý: ôóíêèéã øèíæèëæ ãðàôèê áàéãóóëüÿ.
4 28y x x
![Page 8: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/8.jpg)
1. Ôóíêöèéí òîäîðõîéëîãäîõ ìóæ îëîõ
Ôóíêöèéí àðãóìåíòèéí îðîíä îðëóóëàí òàâèõàä óòãàòàé áàéëãàäàã òîîíóóäûí îëîíëîãèéã òîäîðõîéëîãäîõ ìóæ ãýíý.1. ò.ì 2. ò.ì 3. ò.ì 4. ò.ì
Ä¿ðýì Áîäîëò:
y x 0xlgy x 0x 1
yx
0x y x ;
;x
4 28y x x
![Page 9: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/9.jpg)
2. Óëàìæëàë îëíî
1.2.3.4.5.6.
7.
Ä¿ðýì Áîäîëò:
0c1x
1n nx n x u v u v u v u v u v u v v u
2
u u v v u
v v
4 2
3
8
4 16
y x x
x x
![Page 10: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/10.jpg)
3. Ñýæèãòýé öýãèéã îëíî.
Óëàìæëàëûã îëæ òýãòýé òýíö¿¿ëæ áîäîæ îëíî.
Ä¿ðýì Áîäîëò:
3
2
2
2
4 16 0
(4 16) 0
0
4 16
4
2
2
x x
x x
x
x
x
x
x
![Page 11: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/11.jpg)
4. Çàâñàðóóäàä õóâààæ, òýìäýã òàâèíà.
- Êîîðäèíàòûí øóëóóí äýýð ñýæèãòýé öýãýý òýìäýãëýí çàâñàðóóäàä õóâààíà.-Çàâñàð áîëãîíîîñ äóðûí öýã àâ÷ óëàìæëàëûí óòãûã îëæ òýìäýãýý òàâèíà.
Ä¿ðýì Áîäîëò:
3
3
3
3 4 3 16 3 108 48 60
1 4 1 16 1 4 16 12
1 4 1 16 1 4 16 12
2 4 27 16 3 108 48 60
y
y
y
y
34 16y x x
![Page 12: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/12.jpg)
5. Ôóíêöèéí ºñºõ áóóðàõûã òîãòîîíî
+ òýìäýãòýé áîë òýð çàâñàð ôóíêö ºñíº……………..- Òýìäýãòýé áîë òýð çàâñàð ôóíêö áóóðíà.
1. Çàâñàðò (-) ó÷èð áóóðíà.2. Çàâñàðò (+) ó÷èð ºñíº.3. Çàâñàðò (-) ó÷èð áóóðíà4. Çàâñàðò (+) ó÷èð ºñíº.
Ä¿ðýì Áîäîëò:
;2 2;0 0;2
2;
![Page 13: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/13.jpg)
6.max, min îëîõ
(-) ààñ (+) ð¿¿ øèëæèæ áàéâàë min-òàé.-------------(+) ýýñ (-) ð¿¿ øèëæèæ áàéâàë max-òàé
Ä¿ðýì Áîäîëò:
2 0 2
- + - +
-16 0 -16
min max min
f x
f x
;2
2;0 0;2 2;
4 2
4 2
( 2) ( 2) 8 ( 2) 16 32 16
(0) 0
(2) 2 8 2 16 32 16
y
y
Y
4 28y x x
![Page 14: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/14.jpg)
![Page 15: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/15.jpg)
8.Ãðàôèê áàéãóóëàõ
(-2;-16)(2;-16)(0;0)öýã¿¿äèéãÒýìäýãëýæ,ºñºõ
áóóðàõòýìäýãèéã õàðæ
çóðíà.
Ä¿ðýì Áîäîëò
![Page 16: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/16.jpg)
Ôóíêöèé øèíæèëæ ãðàôèê áàéãóóëàõäàà:
1.Ôóíêöèéí òîäîðõîéëîãäîõ
ìóæ îëíî.
2. Óëàìæëàë îëíî.
3. Ýêñðåìóì öýã îëíî.
4. Çàâñàðóóäàä õóâààæ
òýìäýãýý îëíî.
5.ªñºõ áóóðàõ çàâñàðûã
òîãòîîíî
6. max, min îëíî.
7. Ýêñòåìóì öýã äýýð ôóíêöèéí
óòãûã îëíî
8. Ãðàôèê áàéãóóëíà.
![Page 17: ¿ç¿¿ëýõ õè÷ýýë](https://reader033.fdocuments.us/reader033/viewer/2022061119/546b64e6b4af9f932c8b4b93/html5/thumbnails/17.jpg)
Ãýðèéí äààëãàâàð
Ôóíêöèéã øèíæèëæ ãðàôèê áàéãóóë.
Äàðààãèéí õè÷ýýë äýýð ñýäâèéí øàëãàëò àâíà.
4 2
5 2
15 4.5
21
45
y x x
y x x