Mawu amene alibe tanthauzo: Zitsanzo

Mawu - ndi wopambana kwambiri masamu yaitali. Kwenikweni, mu sayansi onsewo ndiye, ndipo wotuluka onse imachitika pa iwo, nawonso. nkhani ina imene ntchito zosiyanasiyana ndithu njira ndi luso malingana ndi maonekedwe enieni. Choncho, ntchito ndi ndikuyenda logarithms, tuzigawo twa kapena - zinthu zitatu zosiyana. Mawu a opanda tanthauzo, lingakhale kuti mmodzi wa mitundu iwiri: algebraic kapena lapadera. Koma kodi mfundo imeneyi zikuwoneka ngati chitsanzo chake ndi mbali zina mwa nkhani zotsatirazi.

mawu M'ndandanda

Ngati mawu tichipeza manambala, m'mabokosi, kuphatikiza kapena opanda, ndi zizindikiro zina ntchito masamu, akhoza bwinobwino wotchedwa M'ndandanda. Zomwe n'zomveka ndithu: ndikofunikira kamodzinso kuyang'ana choyamba wotchedwa zigawo zake.

N'zosangalatsa kumva mawu akhoza kukhala chilichonse: Chofunika, kuti analibe makalata. Ndi "chirichonse" kukutanthauza kuti zonse ku chinthu chimodzi, akuima yekha, palokha, ziwerengero, kuti mndandanda yaikulu iwo ndi zizindikiro za ntchito masamu kuti amafuna mawerengedwe wotsatira wa chifukwa komaliza. Nusu - ndi mawu M'ndandanda, ngati si onse, b, c, D, etc, chifukwa ndiye ndi kuyang'ana chosiyana, tikambirana ina.

Zinthu mawu, zomwe sizimatanthauza

Pamene ntchito imayamba ndi mawu akuti "kuwerengetsa", mukhoza kulankhula za lidzasintha. Chinthu kuti zimenezi si nthawi yoyenera: si ankafunika kwambiri ngati Pachithunzipa akuti chiribe tanthauzo. Zitsanzo za wamphamvu zodabwitsa, nthawizina, kumvetsa kuti ndi chinthu ife mmwamba ndi, tili ndi wautali ndiponso yosasangalatsa kutsegula m'mabokosi ndi kulingalira, kulingalira, taganizirani ...

Chinthu chachikulu kukumbukira: safuna tinganene kuti mawu amene zotsatira yafupika kuchita choletsedwa mu masamu. Ngati tili ndi woonamtima, ndiye amakhala wopanda phindu kutembenuka yokha, koma kuti kudziwa izi, tiyenera kuyamba athamangadi wake. Ndicho chododometsa!

Wotchuka kwambiri, koma iwo sali zosafuni- masamu choletsedwa kanthu - ndi kusiyana ndi ziro.

Chifukwa pano Mwachitsanzo, mawu amenewa chiribe tanthauzo:

(17 + 11) :( 5 + 4-10 + 1).

Ngati ntchito zina kuwerengetsera yosavuta kuchepetsa bulaketi wachiwiri kwa manambala mmodzi, ndiye izo zidzakhala ziro.

Ndi zomwezo, "mutu aulemu" ndipo mawu amenewa wapatsidwa;

(5-18) :( 19/04/20 + 5).

mawu algebraic

Izi zili chimodzimodzi M'ndandanda akuti, ngati inu kuwonjezera makalata choletsedwa mu izo. Ndiyeno ilo limakhala algebraic zonse. Zingakhalenso zamitundu yonse ndi akalumikidzidwa. Algebraic mawu - ndi timapangira lingaliro, womwenso m'mbuyomo. Koma panali tingati kuyamba kukambirana si naye, koma ndi M'ndandanda, kuti apange izo bwino ndi losavuta kumvetsa anali. Ndipotu chiyani tinganene algebraic mawu - funso si yovuta kwambiri, koma ndi zosintha zambiri.

N'chifukwa chiyani tikutero?

Enieni akuti, kapena mawu ndi zosintha - ndi n'chimodzimodzi. Mawu akuti choyamba chafotokozedwa chabe: izo, pambuyo pa zonse, uli ndi makalata! Lachiwiri komanso si chinsinsi atumwi m'malo makalata mukhoza mmalo manambala osiyanasiyana, kotero kuti phindu la mawu akuti idzasintha. N'kosavuta kwa ndikuganiza kuti makalata nkhani iyi ndi variable. Ndi chitsanzochi, chiwerengero - ndi okhazikika.

Ndipo apa ife kubwerera ku mutu waukulu: kodi mawu amene alibe tanthauzo?

Zitsanzo za mawu algebraic alibe tanthauzo

Ulili kwa zopusa za mawu algebraic - mofanana M'ndandanda, ndi chapadera kokha, kapena kukhala enieni kwambiri, enaake. Pamene akatembenuka, ndi kuwerengetsa zotsatira zake zomalizira ayenera kuganizira zosintha Choncho funso si monga "kumasonyeza sizimatanthauza?" Ndipo "kwa phindu la variable ndi izi, mawu si zomveka?" ndi "Kodi pali phindu kwa variable limene mawu adzakhala tanthauzo?"

Mwachitsanzo, (18-3) :( ndi + 11-9).

Mawu pamwambapa si zogwira mtima pa wofanana -2.

Nanga bwanji (a + 3) :( 04.08.12), tikhoza kunena kuti ndi mawu omwe alibe tanthauzo pa onse.

Mofananamo, b kapena mmalo mwa mawu (b - 11) :( 12 + 1), komabe zomveka.

ntchito yofala "Mawu chimene chiribe tanthauzo"

7 kalasi akuphunzira phunziro la masamu, mwa ena, ndipo anakhala pa izo si zachilendo onse atangotha magawo ziwalo, ndipo monga momwe "tsenga" pa zigawo ndi mayeso.

N'chifukwa chake m'pofunika kuganizira mavuto lililonse ndi njira zawo.

Chitsanzo 1.

Kodi tanthauzo la mawu akuti:

(23 + 11) :( 43-17 + 24/11/39)?

yankho;

M'pofunika apange mawerengedwe onse m'mabokosi ndi chifukwa mawu a mawonekedwe:

34: 0

kuyankha:

Zotsatira limapangidwa magawano ndi ziro, chotero, akuti si waphindu.

Chitsanzo 2.

Kodi mawu sizikupanga chanzeru?

1) (9 + 3) / (4 + 5 + 3-12);

2) 44 / (12-19 + 7);

3) (6 + 45) / (12 + 55-73).

yankho;

Izo ziyenera kuwerengera phindu komaliza kwa aliyense wa mawu.

Yankho: 1; 2.

Chitsanzo 3.

Pezani osiyanasiyana mfundo chovomerezeka kwa mawu otsatirawa:

1) (11-4) / (b + 17);

2) 12 / (14-B + 11).

yankho;

Osiyanasiyana mfundo chovomerezeka (DHS) - manambala onse, limene m'malo momuuza mawu variable chanzeru.

Kuti ndi ntchito ya zikumveka ngati: kupeza mfundo imene sadzalola kugawanitsa ndi ziro.

kuyankha:

1) b Yehoasi (-∞; -17) & (-17; + ∞), kapena b> -17 & B <-17, kapena b ≠ -17, kutanthauza - kumasonyeza n'zomveka onse b, kupatula -17 .

2) b Yehoasi (-∞ 25) & (25; + ∞), kapena b> 25 B & <25, kapena b ≠ 25, kutanthauza - kumasonyeza n'zomveka onse kupatula 25 b.

Mwachitsanzo 4.

Pakuti mfundo za mawu awa zikanakhala zopanda phindu?

(Y-3) :( Y + 3)

yankho;

The bulaketi chachiwiri ndi ziro pa Y wofanana -3.

Yankho: Y = -3

Mwachitsanzo 4.

Ziti mwa ziganizo sizikupanga chanzeru kokha pamene × = -14?

1) 14: (× - 14);

2) (3 + 8x) :( 14 + x);

3) (× / (× + 14)) :( 7/8)).

kuyankha:

2 ndi 3, kuyambira m'nkhani yoyamba, ngati mlowamalo × = -14, ndiye bulaketi chachiwiri opotoka -28 m'malo ziro monga tanthawuzo zikumveka opanda mawu tanthauzo.

Mwachitsanzo 5.

Ganizirani ndi kulemba mawu amenewa chiribe tanthauzo.

kuyankha:

18 / (2-46 + 17-33 + 45 + 15).

mawu Algebraic ndi zosintha ziwiri

Ngakhale kuti mawu onse kuti sizikupanga chanzeru, chimodzi chofunikira, pamenepo pali milingo yosiyana kwambiri. Choncho, tikhoza kunena kuti n'zosangalatsa kumva - izi ndi zitsanzo za osavuta, chifukwa ndi opepuka kuposa algebraic. The mavuto chigamulo ndipo anawonjezera angapo zosintha mu masika. Koma iwo sayenera kusokoneza maonekedwe awo: chinthu chachikulu - kukumbukira mfundo ambiri wa njira ndi kuziyika izo kaya chitsanzo ndi ofanana ndi vuto lililonse kapena mtundu wina wa osadziwika pokha-mvu.

Mwachitsanzo, funso angakhalepo, mmene angathetsere ntchito imeneyi.

Pezani ndi kulemba pansi ndi manambala angapo amene chomveka akuti:

(× ³ - × ² Y ³ + 13x - 38y) / (12x ² - Y).

lolondola:

1) 3 107;

2) 1 ndi -12;

3) 2 ndi 48;

4) -2 ndi 24;

5) -3 ndi 108.

Koma kwenikweni, izo zikuwoneka zoopsa ndi wolemera, chifukwa kwenikweni lili zimene kale: yomanga manambala mu lalikulu ndi kyubu, ntchito zina masamu, monga magawano, chulutsa, wochotsera ndi kuonjedzera. Pakuti mayiko, ndi njira, mungathe kuchepetsa vutoli ndi mtundu fractional.

The numerator wa kachigawo mu chifukwa cha amasangalala: (× ³ - × ² Y ³ + 13x - 38y). Ndi zoona. Koma pali chifukwa china sangalalani: inayake analibe ngakhale ayenera kukhudza kuthetsa ntchito! Malinga ndi tanthauzo takambiranawa simungathe kugawanitsa ndi ziro, komanso zimene kugawana, zilibe kanthu. Chifukwa malo mawu amenewa zikutsatiridwa ndi mmalo mwa awiriawiri embodiments izi, chimene chachititsa lapansi. Pakuti item lachitatu kupsa mwangwiro, kuyatsa zolemba ang'onoang'ono ziro. Koma kuti akhale ichi - kuimilidwa zoipa, chifukwa njira chinthu china. Ndipo ndithu: ndime yachisanu ndi zabwino zoyenera ndi chikhalidwe abwino.

Lembani Yankho: 3 ndi 5.

pomaliza

Monga mukuonera, nkhani imeneyi ndi chidwi kwambiri ndi si yovuta kwambiri. Kuzimvetsa izo sizidzakhala zovuta. Komabe, angapo zitsanzo ntchito konse ukuwawa!