Yuav ua li cas kam nrog rau cov lus tsa suab paub tab? Cov txheej txheem kev daws teeb meem rau cov tsheb teeb meem

Zauv - ib tug heev nyuab kawm, tab sis nyob rau hauv lub tsev kawm ntawv kawg nws yuav tau mus los ntawm txhua yam. Kev nyuaj nyob rau hauv cov tub ntxhais kawm los qhov teeb meem nyob rau hauv cov lus tsa suab. Yuav ua li cas los daws kom tau tsis muaj teeb meem thiab qhov loj ntawm siv lub sij hawm, saib qhov no tsab xov xwm.

Nco ntsoov tias yog koj los xyaum, ces cov hauj lwm yuav tsis ua kom muaj teeb meem. Txheej txheem kev daws teeb meem yuav tsum tsim los automatism.

hom

Yuav ua li cas yog meant by hom hauj lwm? Nws yog yooj yim heev thiab uncomplicated kev pab raws qib, uas muaj xws li cov nram qab no ntau ntau yam:

• sibtshuam tsheb;
• pursuit;
• Movement nyob rau hauv kev coj rov qab;
• tsheb nyob rau hauv tus dej.

Peb muaj txhua txhua kev xaiv yuav tau xav txog nyias. Ntawm cov hoob kawm, peb yuav lauj tsuas piv txwv. Tab sis ua ntej peb tsiv mus nyob rau cov nqe lus nug ntawm yuav ua li cas los daws kom tau qhov teeb meem nyob rau hauv cov lus tsa suab, nws yog tsim nyog los nkag ib lub mis uas peb yuav tsum tau nyob rau hauv kev soj ntsuam txog nrog kiag li tag nrho cov hauj lwm ntawm no hom.

Formula: S = V * t. Ib me ntsis piav: S - yog txoj kev, tsab ntawv V qhia tus tshaj tawm, thiab tsab ntawv t yog lub sij hawm. Tag nrho cov qhov tseem ceeb yuav tsum qhia tias nyob rau hauv cov nqe lus ntawm lub mis. Raws li, qhov ceev yog cov kev faib los ntawm lub sij hawm, thiab lub sij hawm - yog txoj kev, muab faib los ntawm ceev.

zog ntawm

Nws yog lub feem ntau ntau hom kev pab raws qib. Yuav kom nkag siab txog cov kev txiav txim siab, xav txog cov nram piv txwv. Tej yam kev mob: "Ob tug lwm tsheb kauj vab mus ncig ib txhij mus rau txhua lwm yam, txoj kev ntawm ib tug lub tsev mus rau lwm lub yog 100 km ua li cas yog cov kev coj thoob plaws 120 feeb, yog hais tias nws yog lub npe hu hais tias tus tshaj tawm los ntawm - 20 km ib teev, thiab lub thib ob - kaum tsib.". Peb tig mus rau rau lo lus nug ntawm yuav ua li cas los daws kom tau qhov teeb meem nyob rau hauv cyclists.

Ua li no peb yuav tsum tau ua kom paub lwm lub sij hawm, "kaw ceev". Nyob rau hauv peb tus yam ntxwv, nws yuav ua ncaj rau 35 km ib teev (20 kilometers ib teev + 15 km ib teev). Qhov no yuav ua tau tus thawj txiav txim nyob rau hauv kev daws qhov teeb meem. Tom ntej no, muab ob tug kaw tshaj tawm raws li lawv tsiv mus nyob ob teev: 35 * 2 = 70 km. Peb pom qhov kev ncua deb uas cyclists yuav txoj kev 120 feeb. Nws tseem kawg txiav txim: 100-70 = 30 kis lus mev. Qhov no xam, peb pom qhov kev ncua deb ntawm cyclists. Teb: 30 km.

Yog hais tias koj tsis to taub yuav ua li cas los daws kom tau qhov teeb meem nyob rau hauv ib counter-zog, siv qhov mus kom ze ceev, siv lwm cov kev xaiv.

Qhov thib ob txoj kev

Ua ntej, peb yuav nrhiav tau ib txoj kev uas dhau thawj cyclist: 20 * 2 = 40 kis lus mev. Txoj kev uas lub 2nd phooj ywg: Kaum tsib khoo los ntawm ob, sib npaug zos rau peb caug kilometers. Quav qhov kev ncua deb mus ncig los ntawm tus thawj thiab thib ob cyclist: 40 + 30 = 70 kis lus mev. Peb paub txoj kev uas los mus kov yeej lawv ua ke, yog li tshuav ntawm tag nrho cov paths traversed Rho: 100-70 = 30 km. Teb: 30 km.

Peb tau soj ntsuam thawj hom lus tsa suab muaj teeb meem. Yuav ua li cas los daws kom tau lawv, nws yog tam sim no kom meej, npaj mus rau lub tom ntej no pom.

Countermovement

Mob: "Los ntawm ib mink nyob rau hauv kev coj rov qab caij ob hares thawj ceev - 40 kilometers ib teev, thiab lub thib ob - 45 kph deb npaum li cas lawv yog los ntawm txhua lwm yam nyob rau hauv ob teev ..?"

No, raws li nyob rau hauv lub yav dhau los piv txwv li, muaj ob tau kev daws teeb meem. Nyob rau hauv tus thawj, peb yuav ua nyob rau hauv ib tug paub txoj kev:

1. Txoj kev uas tus thawj luav: 40 * 2 = 80 km.
2. Txoj kev ntawm lub thib ob luav: 45 * 2 = 90 km.
3. Txoj kev hais tias lawv mus ua ke: 80 + 90 = 170 km. Teb: 170 km.

Tab sis muaj yog lwm cov kev xaiv.

tshem tawm tus nqi

Raws li koj twb twv tau, nyob rau hauv qhov chaw, zoo ib yam li cov thawj, yuav muaj ib tug tshiab lub sij hawm. Xav txog cov nram qab no hom ntawm cov lus tsa suab muaj teeb meem, yuav ua li cas los daws kom tau lawv nrog kev pab los ntawm qhov kev tshem tawm tus nqi.

Nws peb yog nyob rau hauv thawj qhov chaw thiab peb nrhiav tau: 40 + 45 = 85 kilometers moos. Nws tseem mus txiav txim seb dab tsi yog qhov kev ncua deb cais lawv, vim hais tias tag nrho cov ntaub ntawv twb paub: 85 * 2 = 170 km. Teb: 170 km. Peb tau pom tias cov tshuaj ntawm muaj teeb meem rau cov lus tsa suab nyob rau hauv cov tsoos txoj kev, raws li tau zoo raws li los ntawm kev kaw ceev thiab tshem tawm.

zog tom qab

Cia saib ib qho piv txwv ntawm qhov teeb meem thiab ua kom daws tau nws ua ke. Mob: ". Ob tug schoolboys, Cyril thiab Anton, sab laug lub tsev kawm ntawv thiab tsiv rau tus ceev ntawm 50 meters ib feeb Kostya tshuav lawv rau feeb ntawm ib tug ceev ntawm 80 meters ib feeb Tom qab ib co sij hawm yuav ntes Konstantin Cyril thiab Anton.?"

Yog li ntawd, yuav ua li cas los daws kom tau teeb meem rau cov lus tsa suab tom qab? Ntawm no yog peb xav tau cov kev ceev ntawm mus kom ze. Tsuas yog nyob rau hauv cov ntaub ntawv no yuav tsum tsis txhob yuav muab ntxiv, thiab rho tawm: 80-50 = 30 m ib feeb. Qhov thib ob qhov kev txiav txim yuav paub ntau npaum li cas meters cais lub tsev kawm ntawv mus rau lub pob txha tso zis. Yuav kom qhov no kawg, 50 * 6 = 300 meters. Qhov kawg txiav txim peb nrhiav tau lub sij hawm thaum lub sij hawm uas Kostya ntes Cyril thiab Anton. Yuav kom qhov no txoj kev ntawm 300 meters yuav tsum tau muab faib los ntawm tus kaw ceev ntawm 30 meters ib feeb: 300: 30 = 10 feeb. Teb: tom qab 10 feeb.

tshawb pom

Raws li cov saum toj no sib tham, nws yog tau kos ib cov lus xaus:

• thaum daws tsheb yog yooj yim siv rau tus nqi ntawm convergence thiab tshem tawm;
• yog hais tias nws yog ib tug counter-tsab ntawv tsa suab los yog tsiv sib nrug, cov qhov tseem ceeb yog los ntawm kev ntxiv lub velocities ntawm cov khoom;
• Yog hais tias ua hauj lwm nyob rau hauv pem hauv ntej ntawm peb rau lub zog nyob rau hauv kev nrhiav, ces noj ib tug txiav txim txawv rau tas li ntawd, tus ntawd yog tus rho.

Peb tau pom tias ib co ntawm cov kev pab raws qib rau cov kev khiav tawm, yuav ua li cas nrog, to taub, tau ntsib nrog lub ntsiab ntawm "kaw ceev" thiab "kev tshem tawm tus nqi", nws tseem mus xav txog qhov kawg taw tes, namely, yuav ua li cas los daws kom tau teeb meem rau lub zog ntawm tus dej?

cov hoob kawm

Qhov uas koj yuav sib ntsib dua:

• kev pab raws qib rau kev tshem ntawm txhua lwm yam;
• zog nyob rau hauv kev nrhiav;
• Movement nyob rau hauv kev coj rov qab.

Tab sis tsis zoo li yav dhau los paub tab, tus dej muaj ib tug txaus tshaj tawm hais tias yuav tsis tau ignored. Ntawm no, cov khoom yuav tsiv mus nyob yog raws tus dej - ces qhov no tus nqi yuav tsum tau ntxiv rau tus kheej ceev ntawm cov khoom, los yog tawm tsam lub flow - nws yog tsim nyog los rho los ntawm cov kev ceev ntawm tus kwv.

Ib qho piv txwv ntawm qhov teeb meem nyob rau hauv lub suab ntawm cov dej

Mob: "dav hlau mus nrog cov khiav ntawm ib tug ceev ntawm 120 kilometers ib teev thiab rov qab tuaj, thiab lub sij hawm siv tsawg tshaj li ob teev, dua li tiv thaiv cov txaus yog dab tsi cov kev ceev ntawm Watercraft sawv dej.?" Peb yuav muab ib tus nqi ndlwg sib npaug zos rau ib tug kilometer ib teev.

Peb npaj mus rau ib tug txiav txim siab. Peb muaj los tsim ib daim ntawv rau ib tug yeeb yam piv txwv. Cia peb muab lub maus taus ceev nyob rau hauv lub rhaws dej ntawm x, ces cov kev ceev ntawm lub flow yog sib npaug zos rau x + 1 thiab x-1 tiv thaiv. Ze round mus txawv tebchaws yog 120 km. Nws hloov tawm hais tias lub sij hawm coj mus tawm tsam cov ndlwg ntawm 120 (x-1), thiab cov khiav 120 (x + 1). Nws yog lub npe hu hais tias 120 (x-1) rau ob teev yog tsawg tshaj li 120 (x + 1). Tam sim no peb muaj peev xwm tawm mus rau sau lub rooj.

Yuav ua li cas peb muaj: (120 / (1-x)) - 2 = 120 / (x + 1) muab txhua feem nyob rau hauv (x + 1) (x-1);

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

Peb yuav daws tau qhov equation:

(X ^ 2) = 121

Daim ntawv ceeb toom hais tias muaj ob tau cov lus teb: + -11, thiab -11 li cov 11 thiab muab cov square 121. Tab sis peb cov lus teb no yog, vim hais tias cov kev ceev ntawm lub maus taus tej zaum yuav tsis muaj ib tug tsis muaj nuj nqis, yog li ntawd, yuav tsum sau lo lus teb: 11 mph . Yog li, peb pom muaj qhov yuav tsum tau npaum li cas, namely tus ceev nyob rau hauv tseem dej.

Peb tau pom tias txhua yam kev xaiv rau cov lus tsa suab paub tab tam sim no nyob rau hauv lawv cov kev txiav txim siab uas koj yuav tsum tsis muaj teeb meem thiab muaj teeb meem. Yuav kom daws tau lawv, koj yuav tsum paub qhov yooj yim mis thiab cov nqe lus xws li "kaw npaum li cas thiab tshem tawm." Ua siab ntev, siv cov kev pab raws qib, thiab kev vam meej yuav los txog.