UkubunjwaImfundo Secondary nezikolo

Indlela yokujongana imisebenzi motion? Izisombululo ubuchule iingxaki zendlela

Mathematics - kakhulu isifundo inzima, kodwa ekuhambeni isikolo kuya kufuneka ukuba uhambe nge yonke into. ubunzima ingakumbi abafundi yabangela ingxaki kwi sicelo. Indlela yokusombulula akukho iingxaki kunye ubunzima ixesha elichithwa, khangela kweli nqaku.

Qaphela ukuba ukuba uqhelisela, ngoko le misebenzi akayi kubangela naziphi na iingxaki. izisombululo inkqubo nokusetyenziselwa ukuphumeza uphuhliso automatism.

uhlobo

Kuthetha ukuthini olu hlobo lomsebenzi? Kuyinto imisebenzi ilula kwaye ayinzima, eziquka ezi ntlobo zilandelayo:

  • ngakuye;
  • befuna;
  • Movement kwelinye icala;
  • traffic phezu komlambo.

Sinikezela zonke khetho ukuba siqwalasele ngokwahlukeneyo. Kakade ke, siya ibattery imizekelo kuphela. Kodwa ngaphambi kokuba udlulele kumbuzo ngendlela yokusombulula ingxaki kwi sicelo, kuyimfuneko ukuba ukufaka ifomula ekufuneka xa usebenza ngokupheleleyo yonke imisebenzi yalo hlobo thina.

Ifomula: S = V * t. A ingcaciso encinane: S - i umendo, incwadi V ibonisa uqina, kwaye t unobumba lixesha. Konke okuxabisekileyo ingavezwa ngokwemiqathango kwifomula. Ngako oko ke, isantya indlela umahlule ngo ixesha, kwaye nexesha - yeyona ndlela, lahlulwe isantya.

movement towards

Yeyona hlobo luqhelekileyo imisebenzi. Ukuze siqonde isigqibo, cinga mzekelo ulandelayo. Imiqathango: "ezinye iibhayisikile ababini baya ngaxeshanye ngayo enye kwenye, indlela ukusuka kwenye indlu ukuya kwenye yi-100 km Yintoni umgama phakathi kwemizuzu 120, Ukuba kwakusazeka ukuba uqina ka - 20 km ngeyure nganye, kwaye ke wesibini - elinesihlanu.". Siphendu- umbuzo ngendlela yokusombulula ingxaki beebhayisikile.

Ukuze wenze oku kufuneka ukwazisa omnye elithi, "isantya wokuvala". Kumzekelo wethu, oko kuya kuba ulingana km 35 ngeyure nganye (iikhilomitha ezingama-20 ngeyure nganye + 15 km ngeyure). Oku kuya kuba inyathelo lokuqala ekusombululeni ingxaki. Okulandelayo, wabandisa Velocity wokuvala ezimbini njengoko zihamba iiyure ezimbini: 35 * 2 = 70 km. Safumana komgama ngeebhayisikile uya kusondela 120 imizuzu. Kuhleli le intshukumo yokugqibela: 100-70 = 30 km. Le ukubala, safumanisa umgama phakathi beebhayisikile. Impendulo: km 30.

Ukuba awuyiqondi ukusombulula le ngxaki kwindawo ekhawuntaleni-intshukumo, esebenzisa isantya ndlela, sebenzisa enye indlela.

Indlela yesibini

Okokuqala, sifumana indlela iiMviso umkhweli webhayisikile lokuqala: 20 * 2 = 40 km. Umendo umhlobo 2: elinesihlanu siphindwe ezimbini, lingana leekhilomitha ezingamashumi amathathu. Songa umgama ohanjiweyo yi webhayisikile wokuqala nowesibini: + 30 = 70 km 40. Siyazi indlela yokoyisa ndawonye, ngoko amaqongqolo zonke iindlela siwela Khupha: 100-70 = 30 km. Impendulo: km 30.

Siye sahlolisisa uhlobo lokuqala iingxaki motion. Indlela yokusombulula kubo, ke ngoku icace, dlulelani emehlweni elilandelayo.

Countermovement

Imeko: "Ukususela ngoboya elinye icala sasikhwele imivundla ezimbini Isantya lokuqala - iikhilomitha ezingama-40 ngeyure nganye, kwaye eyesibini - 45 kph kude njani na enye kwenye iiyure ezimbini ..?"

Apha, njengoko bekunjalo kumzekelo wokuqala, kukho izisombululo ezibini. Kulo lokuqala, siya kwenza ngendlela eqhelekileyo;

  1. Umendo nomvundla lokuqala: 40 * 2 = 80 km.
  2. Umendo nomvundla yesibini: 45 * 2 = 90 km.
  3. Indlela bangena kunye: 80 + 90 = 170 km. Impendulo: km 170.

Kodwa ke kukho enye indlela.

rate ukususwa

Njengoko sele ugqibe, kule ndawo, efana kowokuqala, apho kuya kubakho ixesha elitsha. Cinga uhlobo zilandelayo iingxaki motion, indlela uzisombulule ngoncedo izinga nokususwa.

Yakhe Thina kwindawo yokuqala yaye sifumana: + 45 = 85 iikhilomitha ezingama-40 ngeyure. Kuhleli ukujonga ngumgama eyahlula oko kubo, ngenxa yokuba yonke idatha sele eyaziwa: 85 * 2 = 170 km. Impendulo: km 170. Siye sahlolisisa ngesisombululo iingxaki kwi isindululo ngendlela lwemveli, ngokunjalo ngokuvala isantya kunye nokususwa.

intshukumo emva

Makhe sijonge umzekelo le ngxaki uze uzame ukuyisombulula ngayo kunye. Imeko: ". Besikole ezimbini, uCyril Anton, abemkileyo esikolweni yaye bafudukela ngesantya yeemitha-50 ngomzuzu Kostya wabashiya imizuzu ezintandathu ngesantya yeemitha 80 ngomzuzu Emva isixa kwexesha uya kuwafumana uKonstantin uCyril Anton.?"

Ngoko ke, indlela yokucombulula iingxaki kwi isindululo emva? Apha sifuna isantya lwendlela. Kuphela kule meko kufuneka zongezwe, yaye sisuswe: 80-50 = 30 m ngomzuzu. Intshukumo yesibini baya kwazi njani iimitha ezininzi esahlula esikolweni ukuya kwimveliso ithambo. Ukuza kuthi ga ngoku, 50 * 6 = 300 leemitha. I intshukumo yokugqibela sifumana ixesha apho Kostya ukubamba up uCyril Anton. Kule ndlela neemitha ezingama-300 kufuneka lahlulwe isantya wokuvalwa ayi-30 ngomzuzu: 300: 30 = imizuzu-10. Impendulo: emva kwemizuzu eli-10.

iziphumo

Ngokusekelwe kule ngxoxo ingasentla, kusenokwenzeka ukuba ukuzoba ezinye izigqibo:

  • xa usombulula traffic lula ukuba usebenzise izinga ukuhlangabezana kunye nokususwa;
  • Ukuba yinto sokubala-isindululo okanye ihamba ngaphandle, ezi amaxabiso ngokudibanisa sesiqhelo bezinto;
  • Ukuba umsebenzi phambi kwethu kwi intshukumo emsileni, udle isenzo malunga Ukongeza, oko kukuthi ukuthabatha.

Siye sahlolisisa eminye yemisebenzi lihamba, indlela ukujamelana nawo, waqonda, ndaze wayeqhelene ingqiqo ka "isantya lokuvala" yaye "isantya ukususa", oko uhlala ukuqwalasela indawo yokugqibela, oko kukuthi, indlela yokucombulula iingxaki kwi intshukumo emlanjeni?

course

Apho uyakwazi ukuhlangabezana kwakhona:

  • imisebenzi intshukumo ukuya omnye komnye;
  • intshukumo befuna;
  • Movement kwicala elahlukileyo.

Kodwa ngokungafaniyo imisebenzi ezidlulileyo, lo mfula a Velocity wokuhamba angena kubethwa ngoyaba. Apha, izinto ziya kuhamba nokuba ecaleni lomlambo - ngoko eli zinga kufuneka zongezwe isantya ngayo izinto, okanye ngokuchasene flow - kuyimfuneko ukuthabatha ukusuka isantya into.

Umzekelo ingxaki isindululo lomlambo

Imeko: "Jet wahamba ukuhamba ngesantya kweekhilomitha ezili-120 ngeyure wabuya, yaye nexesha elichithwa ngaphantsi kweeyure ezimbini, kunokuba ngokuchasene flow Yintoni isantya watercraft umi ngamanzi.?" Sinikwa izinga lokuhamba elingana ngekhilomitha enye ngeyure nganye.

Siya kuphinda isigqibo. Sinikezela ukwenza itshati ibe olubonwayo umz. Makhe sithathe isantya ngesithuthuthu emanzini amileyo ye x, ngoko ke isantya flow ulingana no'x '+ 1 x-1 nxamnye. Umgama ukuya nokubuya yi km 120. Kubonakala ukuba ixesha athathiweyo ukuya nxamnye flow ka 120 (x-1), kwaye flow 120 (x + 1). Yinto eyaziwayo ukuba 120 (x-1) iiyure ezimbini lingaphantsi kwe-120 (x + 1). Ngoku singakwazi ugqithele kuzaliso itafile.

isimo
v t s
yinjongo x + 1 120: (x + 1) 120
nomsinga x-1 120: (-x 1) 120

Into esinayo: (120 / (-x 1)) - 2 = 120 / (x + 1) ndiyandise inxalenye ngamnye (x + 1) (x-1);

120 (x + 1) -2 (x + 1) (x-1) -120 (x-1) = 0;

Thina ukusombulula inxaki:

(X ^ 2) = 121

impendulo + -11, kwaye -11 njengoko 11 umnike isikwere 121. Kodwa ke impendulo yethu ewe, ngenxa yokuba isantya ngesithuthuthu makangabi engenaxabiso, ke ngoko, ukuba kubhaliwe kwathiwa: Phawula ukuba kukho iimpendulo ezimbini 11 mph . Ngenxa yoko, siye safumanisa isixa esifunekayo, oko kukuthi isantya nisamana emanzini.

Siye sahlolisisa zonke iinketho kwi imisebenzi eshukumayo ngoku isigqibo sabo kufuneka ukuba akanangxaki kunye nobunzima. Uzisombulule, kufuneka ukwazi indlela esisiseko kunye amagama afana "rate ukuvalwa kunye nokususwa." Yiba nomonde, wachitha le misebenzi, kunye nempumelelo uza kuza.

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