Kodi malire a ntchito ndi chiyani

M'bukuli, tiwona imodzi mwa mfundo zazikuluzikulu za kusanthula masamu - malire a ntchito: tanthauzo lake, komanso mayankho osiyanasiyana okhala ndi zitsanzo zothandiza.

Kusankha malire a ntchito

Malire a ntchito - mtengo womwe mtengo wa ntchitoyi umayendera pamene mkangano wake umafika pomaliza.

Malire mbiri:

• malire akuwonetsedwa ndi chithunzi Lim;
• Pansipa palinso mtengo womwe mkangano (wosinthika) wantchitoyo umakonda. Kawirikawiri izi x, koma osati kwenikweni, mwachitsanzo:x→ 1″;
• ndiye ntchitoyo imawonjezedwa kumanja, mwachitsanzo:

  

Chifukwa chake, mbiri yomaliza ya malire ikuwoneka motere (mwa ife):

Amawerenga ngati "malire a ntchito monga x imakonda kugwirizanitsa".

x→ 1 - izi zikutanthauza kuti "x" nthawi zonse imakhala ndi zikhalidwe zomwe zimayandikira mgwirizano, koma sizingafanane nazo (sizidzafikiridwa).

Malire osankha

Ndi nambala yoperekedwa

Tiyeni tithetse malire omwe ali pamwambawa. Kuti muchite izi, ingolowetsani gawolo mu ntchitoyo (chifukwa x→ 1):

Chifukwa chake, kuti tithane ndi malirewo, choyamba timayesa kuyika nambala yomwe tapatsidwa m'malo omwe ali pansipa (ngati x imakonda nambala inayake).

Ndi wopandamalire

Pankhaniyi, mkangano wa ntchitoyo ukuwonjezeka kwambiri, ndiko kuti, "X" zimakonda kukhala zopanda malire (∞). Mwachitsanzo:

If x→∞, ndiye kuti ntchito yomwe wapatsidwayo imakonda kuchotsera zopanda malire (-∞), chifukwa:

• 3 - 1 = 2
• 3 - 10 = -7
• 3 - 100 = -97
• 3 - 1000 - 997 etc.

Chitsanzo china chovuta kwambiri

Pofuna kuthetsa malirewa, komanso, ingowonjezerani zikhalidwe x ndipo yang'anani pa "khalidwe" la ntchitoyi mu nkhani iyi.

• RџS•Rё x = 1, y = 1 ndi² + 3 · 1 – 6 = -2
• RџS•Rё x = 10, y = 10 ndi² + 3 · 10 – 6 = 124
• RџS•Rё x = 100, y = 100 ndi² + 3 · 100 – 6 = 10294

Chifukwa chake, chifukwa "X"kutengera zopanda malire, ntchito x² + 3x6 chimakula kosatha.

Ndi kusatsimikizika (x imakhala yopanda malire)

Pankhaniyi, tikukamba za malire, pamene ntchitoyo ndi kachigawo kakang'ono, nambala ndi denominator zomwe ndi polynomials. Kumeneko "X" zimakonda zopanda malire.

Chitsanzo: tiyeni tiwerenge malire pansipa.

Anakonza

Mawu omwe ali mu manambala ndi denominator amakhala opanda malire. Tingaganize kuti mu nkhani iyi yankho adzakhala motere:

Komabe, si zonse zosavuta. Kuthetsa malire tiyenera kuchita zotsatirazi:

1. Pezani x ku mphamvu yapamwamba kwambiri ya nambala (kwa ife, ndi ziwiri).

2. Mofananamo, timafotokozera x ku mphamvu yapamwamba kwambiri ya denominator (yofanananso ndi ziwiri).

3. Tsopano timagawa zonse nambala ndi denominator ndi x mu dipatimenti yapamwamba. Kwa ife, muzochitika zonsezi - kachiwiri, koma ngati zinali zosiyana, tiyenera kutenga digiri yapamwamba.

4. Zotsatira zake, zigawo zonse zimakhala ziro, choncho yankho ndi 1/2.

Ndi kusatsimikizika (x amatengera nambala yeniyeni)

Nambala ndi denominator ndi ma polynomials, komabe, "X" amatengera nambala yeniyeni, osati yopanda malire.

Pankhaniyi, timatseka maso athu kuti ziro ndi zero.

Chitsanzo: Tiyeni tipeze malire a ntchito pansipa.

Anakonza

1. Choyamba, tiyeni tisinthire nambala 1 m'malo mwake, momwemo "X". Timapeza kusatsimikizika kwa fomu yomwe tikuyiganizira.

2. Kenako, timachotsa nambala ndi denominator kukhala zinthu. Kuti muchite izi, mutha kugwiritsa ntchito mawonekedwe ofupikitsa ochulukitsa, ngati ali oyenera, kapena.

Kwa ife, mizu ya mawu omwe ali mu nambala (2x² 5x + 3 = 0) ndi manambala 1 ndi 1,5. Chifukwa chake, ikhoza kuyimiridwa ngati: 2(x-1)(x-1,5).

Denominator (x-1) ndizosavuta.

3. Timapeza malire osinthidwa:

4. Gawoli likhoza kuchepetsedwa ndi (x-1):

5. Zimangotsala pang'ono kulowetsa nambala 1 m'mawu opezeka pansi pa malire: