Nkulumo iye akukho ntsingiselo: imizekelo

Nkulumo - ligama kakhulu olunzulu lwezibalo. Ngokusisiseko, kule inzululwazi kwabo bonke, yaye zonke iintengiselwano ziqhutywa kuzo, nazo. Omnye umba ezisebenza kakhulu iindlela ngeendlela kunye nobuchule kuxhomekeke kwifom ethile. Ngoko ke, ukusebenza kunye nezetrigonometry, see logarithm, amaqhezu okanye - izenzo ezintathu ezahlukeneyo. Nkulumo yokuba akukho intsingiselo, linokudlulisela omnye iindidi ezimbini: aljibra okanye lwamanani. Kodwa yintoni le nto ikhangeleka ngathi umzekelo wakhe kunye neminye imiba kuya kuxoxwa kamva.

amabinzana yamanani

Ukuba binzana ibandakanya amanani, izibiyeli, dibanisa okanye thabatha, kunye nezinye iimpawu imisebenzi arithmetic, oko ngokukhuselekileyo ngokuba yenombolo. Yeyiphi kakhulu ubhalo: kuyimfuneko once more kukondela yokuqala ogama amabakala alo.

ibinzana wokwamanani kungaba into: okona kubaluleke kakhulu, ukuba yokuba iileta. Yaye "nantoni" kule meko libhekisela yonke into ukususela kokulula, emi yedwa, ngokwaso, amanani, kuluhlu omkhulu kubo nemiqondiso lwemisebenzi izibalo ezifuna ubalo elandelayo eziphumo zokuphela konyaka. Iqhezu - kwakhona ibinzana amanani, ukuba asingabo bonke a, b, c, d, njl, kuba ngoko ke jonga eyahlukileyo ngokupheleleyo, nto leyo eza kuxoxwa kamva.

Iimeko ngenxa yokuvakalisa into ayicingayo, akwenzi ngqiqo

Xa umsebenzi luqala elithi "ubale", uyakwazi ukuthetha ngayo inguqu. Eyona nto kukuba esi senzo akusoloko kufanelekile, kuba ayikho into eninzi edingekayo ukuba ibinzana engaphambili ukuba akukho ntsingiselo. Imizekelo Akumangalisi lee ngamanye amaxesha, ukuqonda, ukuba yinto asabamba kunye kunye, siye elide kwaye usoloko udiniwe ukuvula kwizibiyeli kwaye iqwalasele, cinga, cinga ...

Eyona nto ibalulekileyo ukuze ukhumbule: yenza akukho into yokuba ibinzana ukuphela japan kuyehla kube isenzo owalelweyo kwiMathematika. Ukuba sinyanisekile ngokwenene, ngoko uba ukuguquka engamampunge ngokwayo, kodwa ukuze ufumane oku, kufuneka uqale run yakhe. Yiloo nto imangalisayo!

Eyona edumileyo, kodwa ayibalulekanga kangako izibalo inyathelo esalelweyo - yinto hlula ngu zero.

Ngokuba apha, umzekelo, ibinzana has akukho ntsingiselo:

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

Ukuba usebenzisa ezinye izibalo elula ukunciphisa isibiyeli yesibini ukuya anomvo omnye, ngoko kuya kuba zero.

Ngu mgaqo, "i ngesiqu," yaye eli binzana unikwa:

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

amabinzana algebra

Eli binzana efanayo amanani, ukuba ukongeza oonobumba esalelweyo kuyo. Woba ke yinto yokuba umntu algebra ngokupheleleyo. Kusenokwenzeka ukuba zabo bonke ubukhulu kunye neemilo. ibinzana aljibra - ingqiqo ebanzi, equka yangaphambili. Kodwa kwakukho ingqiqo ukuqalisa incoko akukho naye, kodwa kukho amanani, ukwenza kube ecace ngokungaphaya kunye nokwenziwa lula ukuqonda ukuba. Ngapha koko, ngaba isengqiqweni ibinzana aljibra - lo mbuzo ukuba nzima kakhulu, kodwa uhlaziyo ngaphezulu.

Kutheni kunjalo?

binzana ngokoqobo, okanye ibinzana kunye variables - kuyahambisana. Igama lokuqala sichazwe nje: oko kukuthi, emva onke, iqulathe oonobumba! Eyesibini nayo ikhulu imfihlelo: endaweni iileta kuwe lingatshintsha amanani ezahlukeneyo, ukwenzela ukuba ixabiso binzana iya kutshintsha. Asinto kunzima ukuthelekelela ukuba oonobumba kule meko-bume. Xa mfanekiso, inani - oku kuya kuba sisigxina.

Kwaye apha sibuyele isihloko eziphambili: yintoni na le nkulumo iye akukho ntsingiselo?

Imizekelo amabinzana aljibra akukho ntsingiselo

Imeko yokuba ibe oko kungenangqiqo kukho ibinzana aljibra - ngokufanayo ukuba amanani, ngaphandle omnye kuphela nje, okanye kubekho ngqo, xa besitya. Xa lokuguqula, nasekubaleni eziphumo zokuphela konyaka kufuneka ithathele ingqalelo iimeko ezahlukeneyo, ngoko umbuzo ayikho njenge "yintoni ibinzana akwenzi ngqiqo?" Yaye "nayiphi na ixabiso variable, eli binzana akayi kwenza ingqondo?" kunye "Ingaba kukho ixabiso variable apho ibinzana iya kuba nantsingiselo?"

Umzekelo, (18-3) :( a + 11-9).

Ibinzana ngasentla eyakhayo alingana ku -2.

Yaye kuthekani (a + 3) :( 04.08.12), sinako ngokukhuselekileyo sithi lo nkulumo iye akukho ntsingiselo kwaphela a.

Ngokufanayo, a b okanye endaweni kwi ibinzana (b - 11) :( 12 + 1), lo mmandla uya kwenza ngengqiqo.

imisebenzi eqhelekileyo kwi "Ibinzana elithi okuye akukho ntsingiselo"

grade 7 ukufunda izifundo zezibalo, phakathi kwezinye izinto, wenza kuyo ivamile zombini ngoko nangoko emva iiseshoni eyahlukeneyo, kwaye njengento "amaqhinga" phezu iimodyuli kunye iimviwo.

Yiyo loo nto kubalulekile ukuqwalasela iingxaki ezithile kunye nezisombululo zazo.

Umzekelo 1.

Ngaba intsingiselo yegama elithi:

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

isicombululo:

Kuyimfuneko ukuvelisa yonke sibalo kwizibiyeli kwaye ibangele yokubonakalisa le fomu:

34: 0

ukuphendula:

Isiphumo iquka division ngu zero, ngoko, ibinzana akukho luncedo.

Umzekelo 2.

Yintoni ethi musa ukwenza ingqiqo?

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

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

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

isicombululo:

Kufuneka ukubala ixabiso lokugqibela ngasinye amabinzana.

Impendulo: 1; 2.

Umzekelo 3.

Fumana umqolo wamaxabiso kuyavumeleka ukuba la mabinzana alandelayo:

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

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

isicombululo:

Uluhlu lwamaxabiso yokwakha (DHS) - zonke ezo amanani, apho endaweni yokucela ibinzana elitshintshayo ebengayi kuba nantsingiselo.

Oko kukuthi, umsebenzi iyalila: ukufumana amaxabiso apho akayi kuwabela zero.

ukuphendula:

1) b Je (-∞; -17) & (-17; + ∞), okanye b> -17 & b <-17, okanye b ≠ -17, nto leyo ithetha - ibinzana iyavakala kumntu wonke b, ngaphandle -17 .

2) b Je (-∞; 25) & (25; + ∞), okanye b> 25 b & <25, okanye b ≠ 25, nto leyo ithetha - ibinzana iyavakala kumntu wonke ngaphandle 25 b.

Umzekelo 4.

Kuba yintoni amaxabiso ibinzana zilandelayo kuba nantsingiselo?

(Y-3) :( y + 3)

isicombululo:

Le isibiyeli yesibini ngu zero e y ilingana -3.

Impendulo: y = -3

Umzekelo 4.

Yeyiphi ingxelo musa ukwenza ingqiqo kuphela xa x = -14?

1) 14: (x - 14);

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

3) (x / (x + 14)) :( 7/8)).

ukuphendula:

2 no-3, ekubeni kwimeko yokuqala, ukuba indawo x = -14, ngoko ke isibiyeli yesibini isehlo -28 endaweni zero kwinkcazelo izandi abangenawo ibinzana intsingiselo.

Umzekelo 5.

Cinga uze ubhale phantsi ibinzana akukho ntsingiselo.

ukuphendula:

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

amabinzana aljibra kunye yezahlukileyo ezimbini

Nangona yokuba onke amazwi musa ukwenza ingqiqo, omnye eneneni, kukho imigangatho eyahlukeneyo ngobunzima. Ngoko ke, singatsho ukuba lwamanani - ezi yimizekelo ezilula, kuba alula ngaphezu aljibra. Ubunzima ngenxa isigqibo kwaye kudibanisa eziliqela ezahlukeneyo kule yokugqibela. Kodwa kufuneka masingabhidanisi imbonakalo yazo: into eziphambili - khumbula umgaqo jikelele yesisombululo bakusebenzise kungakhathaliseki nokuba isampuli liyafana ingxaki eqhelekileyo okanye ezinye uhlobo unknown wokongeza i-on.

Umzekelo, umbuzo kusenokuvela, ukusombulula njani lo msebenzi.

Fumana uze ubhale phantsi amanani embalwa esengqiqweni ukuze athi:

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

iimpendulo anokwenzeka:

1) 3 no-107;

2) 1 no -12;

3) 2 no 48;

4) -2 no-24;

5) -3-108.

Kodwa enyanisweni, nto nje kukhangeleka eyoyikekayo nengenakusebenziseka, kuba eneneni iqulethe oko sele ingazeki: ulwakhiwo amanani isikwere kunye ityhubhu, eminye imisebenzi arithmetic, ezifana kwisahlulo, ukuphindaphinda, ukuthabatha kunye Ngaphezu. Ukunenzela lula, ngasendleleni, unako ukunciphisa le ngxaki ifomu iqhezu.

Elingezantsi iqhezu isiphumo ekholisa: (x ³ - x ² y ³ + 13x - 38y). Ngokwenene loo nto. Kodwa kukho nesinye isizathu sokuba sonwabe: iduke akuzange awufuni ukubamba ukusombulula lo msebenzi! Ngokutsho inkcazelo ngazo ngaphambili, awukwazi kuzabela zero, yaye uya kwabelana ntoni, kwaye ayinamsebenzi. Ngenxa reserve eli binzana ayitshintshanga kwaye endaweni kwisibini ezi embodiments, kwinani elingezantsi. Kuba into wesithathu ingena ngokugqibeleleyo, siguqula ipharenthesis encinane zero. Kodwa ukuba nihlale kulo - ingcebiso embi, ngokuba le ndlela yinto enye. Yaye eneneni: isiqendu eyesihlanu kwakhona ulingana kahle kunye nemeko ezifanelekileyo.

impendulo Bhala: 3 no-5.

Ekuphetheni

Njengoko ubona, isihloko umdla kakhulu kwaye inzima kakhulu. Kwabafundi, bayakuqonda oko akuyi kuba nzima. Sekunjalo, isibini Imizekelo yomsebenzi ayisoze!