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- 1. §¬§Ó§Ñ§Õ§â§Ñ§ä§ß§í§Ö §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §°§¤§¿ 9 §Ü§Ý§Ñ§ã§ã, I §é§Ñ§ã§ä§î, §§Ú§ß§Ö§Û§ß§í§Ö §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §ã §à§Õ§ß§à§Û §á§Ö§â§Ö§Þ§Ö§ß§ß§à§Û §°§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§Ö§Ý§î§ß§í§Û §á§à§â§ä§Ñ§Ý §á§à §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§Ü§Ö §¬§²§¡§³§®§¡§´ krasmat.ru
- 2. §¬§Ó§Ñ§Õ§â§Ñ§ä§ß§í§Þ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à§Þ §ã §à§Õ§ß§à§Û §á§Ö§â§Ö§Þ§Ö§ß§ß§à§Û §ç §ß§Ñ§Ù§í§Ó§Ñ§ð§ä §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à §Ó§Ú§Õ§Ñ §Ñ§ç2 +bx + c > 0, §Ô§Õ§Ö a, b, c ¨C §Õ§Ö§Û§ã§ä§Ó§Ú§ä§Ö§Ý§î§ß§í§Ö §é§Ú§ã§Ý§Ñ (§Ü§â§à§Þ§Ö §Ñ = 0). §©§ß§Ñ§é§Ö§ß§Ú§Ö §á§Ö§â§Ö§Þ§Ö§ß§ß§à§Û x, §Ü§à§ä§à§â§à§Ö §à§Ò§â§Ñ§ë§Ñ§Ö§ä §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à f(x) > 0 §Ó §Ó§Ö§â§ß§à§Ö §é§Ú§ã§Ý§à§Ó§à§Ö §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à, §ß§Ñ§Ù§í§Ó§Ñ§ð§ä §â§Ö§ê§Ö§ß§Ú§Ö§Þ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ (§Ú§Ý§Ú §é§Ñ§ã§ä§ß§í§Þ §â§Ö§ê§Ö§ß§Ú§Ö§Þ). §®§ß§à§Ø§Ö§ã§ä§Ó§à §Ó§ã§Ö§ç §é§Ñ§ã§ä§ß§í§ç §â§Ö§ê§Ö§ß§Ú§Û §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §ß§Ñ§Ù§í§Ó§Ñ§ð§ä §à§Ò§ë§Ú§Þ §â§Ö§ê§Ö§ß§Ú§Ö§Þ (§Ú§Ý§Ú §á§â§à§ã§ä§à §â§Ö§ê§Ö§ß§Ú§Ö§Þ) §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ. §°§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§Ö§Ý§î§ß§í§Û §á§à§â§ä§Ñ§Ý §á§à §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§Ü§Ö §¬§²§¡§³§®§¡§´ krasmat.ru
- 3. §¥§Ó§Ñ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ f(x) < g(x) §Ú r(x) < s(x) §ß§Ñ§Ù§í§Ó§Ñ§ð§ä §â§Ñ§Ó§ß§à§ã§Ú§Ý§î§ß§í§Þ§Ú, §Ö§ã§Ý§Ú §à§ß§Ú §Ú§Þ§Ö§ð§ä §à§Õ§Ú§ß§Ñ§Ü§à§Ó§í§Ö §â§Ö§ê§Ö§ß§Ú§ñ (§Ó §é§Ñ§ã§ä§ß§à§ã§ä§Ú, §Ö§ã§Ý§Ú §à§Ò§Ñ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §ß§Ö §Ú§Þ§Ö§ð§ä §â§Ö§ê§Ö§ß§Ú§Û.) §°§Ò§í§é§ß§à §á§â§Ú §â§Ö§ê§Ö§ß§Ú§Ú §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §ã§ä§Ñ§â§Ñ§ð§ä§ã§ñ §Ù§Ñ§Þ§Ö§ß§Ú§ä§î §Õ§Ñ§ß§ß§à§Ö §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à §Ò§à§Ý§Ö§Ö §á§â§à§ã§ä§í§Þ, §ß§à §â§Ñ§Ó§ß§à§ã§Ú§Ý§î§ß§í§Þ §Ö§Þ§å. §´§Ñ§Ü§å§ð §Ù§Ñ§Þ§Ö§ß§å §ß§Ñ§Ù§í§Ó§Ñ§ð§ä §â§Ñ§Ó§ß§à§ã§Ú§Ý§î§ß§í§Þ §á§â§Ö§à§Ò§â§Ñ§Ù§à§Ó§Ñ§ß§Ú§Ö§Þ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ. §°§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§Ö§Ý§î§ß§í§Û §á§à§â§ä§Ñ§Ý §á§à §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§Ü§Ö §¬§²§¡§³§®§¡§´ krasmat.ru
- 4. §±§â§Ñ§Ó§Ú§Ý§Ñ §á§â§Ö§à§Ò§â§Ñ§Ù§à§Ó§Ñ§ß§Ú§ñ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó §°§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§Ö§Ý§î§ß§í§Û §á§à§â§ä§Ñ§Ý §á§à §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§Ü§Ö §¬§²§¡§³§®§¡§´ krasmat.ru
- 5. §±§â§Ñ§Ó§Ú§Ý§à ¡í1 §§ð§Ò§à§Û §é§Ý§Ö§ß §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §Þ§à§Ø§ß§à §á§Ö§â§Ö§ß§Ö§ã§ä§Ú §Ú§Ù §à§Õ§ß§à§Û §é§Ñ§ã§ä§Ú §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §Ó §Õ§â§å§Ô§å§ð §ã §á§â§à§ä§Ú§Ó§à§á§à§Ý§à§Ø§ß§í§Þ §Ù§ß§Ñ§Ü§à§Þ, §ß§Ö §Þ§Ö§ß§ñ§ñ §á§â§Ú §ï§ä§à§Þ §Ù§ß§Ñ§Ü§Ñ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ. ? §¯§Ñ§á§â§Ú§Þ§Ö§â: 4x - 12 < 6x2 §â§Ñ§Ó§ß§à§ã§Ú§Ý§î§ß§à 4§ç - 12 ¨C 6§ç2 < 0 §°§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§Ö§Ý§î§ß§í§Û §á§à§â§ä§Ñ§Ý §á§à §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§Ü§Ö §¬§²§¡§³§®§¡§´ krasmat.ru
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- 7. §±§â§Ñ§Ó§Ú§Ý§à ¡í 3 §°§Ò§Ö §é§Ñ§ã§ä§Ú §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §Þ§à§Ø§ß§à §å§Þ§ß§à§Ø§Ú§ä§î §Ú§Ý§Ú §â§Ñ§Ù§Õ§Ö§Ý§Ú§ä§î §ß§Ñ §à§Õ§ß§à §Ú §ä§à §Ø§Ö §à§ä§â§Ú§è§Ñ§ä§Ö§Ý§î§ß§à§Ö §é§Ú§ã§Ý§à, §Ú§Ù§Þ§Ö§ß§Ú§Ó §á§â§Ú §ï§ä§à§Þ §Ù§ß§Ñ§Ü §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§Ñ §ß§Ñ §á§â§à§ä§Ú§Ó§à§á§à§Ý§à§Ø§ß§í§Û (< §ß§Ñ >, ¡Ü §ß§Ñ ¡Ý). §¯§Ñ§á§â§Ú§Þ§Ö§â: ¨C 3§ç2 + 2§ç ¨C 6 < 0 §å§Þ§ß§à§Ø§Ú§Þ §ß§Ñ ¨C 1 3§ç2 - 2§ç + 6 > 0 §°§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§Ö§Ý§î§ß§í§Û §á§à§â§ä§Ñ§Ý §á§à §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§Ü§Ö §¬§²§¡§³§®§¡§´ krasmat.ru
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- 9. §¦§ã§Ý§Ú §Ü§Ó§Ñ§Õ§â§Ñ§ä§ß§í§Û §ä§â§×§ç§é§Ý§Ö§ß §Ñ§ç2 +bx + c §ß§Ö §Ú§Þ§Ö§Ö§ä §Ü§à§â§ß§Ö§Û (§ä.§Ö. §Ö§Ô§à §Õ§Ú§ã§Ü§â§Ú§Þ§Ú§ß§Ñ§ß§ä D ¨C §à§ä§â§Ú§è§Ñ§ä§Ö§Ý§î§ß§à§Ö §é§Ú§ã§Ý§à) §Ú §Ö§ã§Ý§Ú §á§â§Ú §ï§ä§à§Þ a > 0, §ä§à §á§â§Ú §Ó§ã§Ö§ç §Ù§ß§Ñ§é§Ö§ß§Ú§ñ§ç §ç §Ó§í§á§à§Ý§ß§ñ§Ö§ä§ã§ñ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à §Ñ§ç2 +bx + c > 0. §¦§ã§Ý§Ú D < 0, a > 0, §ä§à ? §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à §Ñ§ç2 +bx + c > 0 §Ó§í§á§à§Ý§ß§ñ§Ö§ä§ã§ñ §á§â§Ú §Ó§ã§Ö§ç §ç, §ä.§Ö (-¡Þ; +¡Þ); ? §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à §Ñ§ç2 + bx + c ¡Ü 0 §ß§Ö §Ú§Þ§Ö§Ö§ä §â§Ö§ê§Ö§ß§Ú§Û. §°§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§Ö§Ý§î§ß§í§Û §á§à§â§ä§Ñ§Ý §á§à §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§Ü§Ö §¬§²§¡§³§®§¡§´ krasmat.ru
- 10. §¦§ã§Ý§Ú §Ü§Ó§Ñ§Õ§â§Ñ§ä§ß§í§Û §ä§â§×§ç§é§Ý§Ö§ß §Ñ§ç2 +bx + c §ß§Ö §Ú§Þ§Ö§Ö§ä §Ü§à§â§ß§Ö§Û (§ä.§Ö. §Ö§Ô§à §Õ§Ú§ã§Ü§â§Ú§Þ§Ú§ß§Ñ§ß§ä D ¨C §à§ä§â§Ú§è§Ñ§ä§Ö§Ý§î§ß§à§Ö §é§Ú§ã§Ý§à) §Ú §Ö§ã§Ý§Ú §á§â§Ú §ï§ä§à§Þ a < 0, §ä§à §á§â§Ú §Ó§ã§Ö§ç §Ù§ß§Ñ§é§Ö§ß§Ú§ñ§ç §ç §Ó§í§á§à§Ý§ß§ñ§Ö§ä§ã§ñ §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à §Ñ§ç2 +bx + c < 0. §¦§ã§Ý§Ú D <0, a<0, §ä§à ? §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à §Ñ§ç2 +bx + c < 0 §Ó§í§á§à§Ý§ß§ñ§Ö§ä§ã§ñ §á§â§Ú §Ó§ã§Ö§ç §ç, §ä.§Ö (-¡Þ; +¡Þ); ? §ß§Ö§â§Ñ§Ó§Ö§ß§ã§ä§Ó§à §Ñ§ç2 +bx + c ¡Ý 0 §Ó §ï§ä§à§Þ §ã§Ý§å§é§Ñ§Ö §ß§Ö §Ú§Þ§Ö§Ö§ä §â§Ö§ê§Ö§ß§Ú§Û. §°§Ò§â§Ñ§Ù§à§Ó§Ñ§ä§Ö§Ý§î§ß§í§Û §á§à§â§ä§Ñ§Ý §á§à §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§Ü§Ö §¬§²§¡§³§®§¡§´ krasmat.ru
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