Ife kuthetsa quadratic maikwezhoni ndi Zithunzi

Quadratic maikwezhoni Kodi maikwezhoni wa wachiwiri msinkhu ndi variable. Amaonetsa khalidwe la parabola pa za ntchito ndege. Mizu anakhumba akuimira mfundo pa zimene Zithunzi mitanda ya x-olamulira. Kuchokera koefishienti kungakhale chisanadze kuphunzira makhalidwe ena a parabola lapansi. Mwachitsanzo, ngati mtengo wa kuyimilira kutsogolo × ² ndi zoipa, nthambi ya parabola adzakhala kuyang'ana mmwamba. Komanso, pali a zidule, kudzera zomwe n'zotheka kuti musinthe njira ya aone kuti pali anapatsidwa.

Mitundu ya quadratic maikwezhoni

Ndinaphunzira kusukuluyi angapo mitundu ya quadratic maikwezhoni. Malinga kusiyana izi ndi mavutowo. maikwezhoni quadratic amatha kusiyanitsa pakati pa mitundu yeniyeni chizindikiro. mtundu umenewu muli angapo zosintha:

nkhwangwa ² + 12x 3 = 0

kusintha wina akhoza kutchulidwa aone kuti pali imene variable ikuyimiridwa ndi limodzi chiwerengero ndi inteja akuti:

21 (× + 13) ² -17 (× + 13) -12 = 0

Dziwani kuti zonsezi ndi maganizo onse a maikwezhoni quadratic. Nthawi zina kwake mtundu umene iwo ayenera kuyika mu dongosolo, kuti amaganiza kapena m'Chingelezi chosavuta.

4 (× + 26) ² - (- 43h + 27) (7-x) = 4

Mfundo yankho

maikwezhoni Quadratic ndi kuthetsedwa mwa njira zotsatirazi:

1. Ngati ndi kotheka, pali malo mfundo zovomerezeka.
2. aone kuti pali umaperekedwa mu maonekedwe yoyenera.
3. Ili pa discriminant wokwanira chilinganizo: D = b ² -4as.
4. Malinga ndi kufunika kwa discriminant mfundo za ntchito. Ngati D> 0, ndiye tinganene kuti aone kuti pali ali awiri osiyana mizu (pa D).
5. Pambuyo pake, kupeza mizu ya aone kuti pali lapansi.
6. Kenako (malingana ndi ntchito) ndi chiwembu kapena mtengo ina.

Quadratic maikwezhoni: Lingaliro Lovomerezeka Wyeth ndi tweaks ena

Aliyense amene waphunzitsidwa akufuna kuwala m'kalasi ndi nzeru, luso lawo ndi savvy. Pa phunziro la maikwezhoni quadratic izo zikhoza kuchitidwa mu njira zingapo.

Ngati kumene koyefishienti wa = 1, tikhoza kulankhula za ntchito ya Vieta Lingaliro Lovomerezeka, chimene Uwerenge mizu ndi wofanana ndi mtengo wa b, atayima kutsogolo kwa × (ndi chizindikiro zosiyana alipo), ndi mankhwala a × ₁ ndi × ₂ ndi wofanana. Chotero maikwezhoni amatchedwa zotero.

-20h × ² + 91 = 0,

× _{1 *} × ₂ = 91 ndi × ₁ + × ₂ = 20 => × = ₁ 13 H ₂ = 7

Njira ina kosangalatsa wosalira ntchito masamu kugwiritsa ntchito katundu wa magawo. Choncho, ngati Uwerenge magawo onse 0, ndizoonekeratu kuti × ₁ = 1 ndi × ₂ = m'ma / a.

17x ² -7h-10 = 0

0 = 07/17/10 Choncho muzu 1: × ₁ = 1, ndi koren2: × ₂ = -10 / 12

Ngati Uwerenge koefishienti ndi m'ma ndiyofanana ndi B, ndiye × ₁ = -1, choncho × ₂ = m'ma / ndi

² + 25x + 24 = 49h 0

25 + 24 = 49 Choncho, _x1 = -1 ndi _x2 = -24/25

Njira imeneyi kuti pothetsa maikwezhoni quadratic kwambiri zimatithandiza mawerengedwe ndondomeko, ndipo amawapulumutsa ndi zedi kwa nthawi. zochitika zonse zingachitike mu malingaliro, popanda kuthera nthaŵi yamtengo wapatali ya ulamuliro kapena kuyendera ntchito pa chulutsa mu ndime kapena ntchito Chiwerengero.

maikwezhoni Quadratic kutumikira monga kugwirizana pakati pa kanjedza ndi ntchito ndege. Mwamsanga ndipo mosavuta kumanga ntchito parabola lolingana, m'pofunika pambuyo kupeza pamwamba ake lembani mzere umodzi perpendicular kwa x-olamulira. Kenako, mfundo angathe kupeza ulemu kuwalitsa mzere anapatsidwa, wotchedwa olamulira chosokonekera.