Mavuto kuthetsa aone kuti pali lapansi. Yothetsera mavuto mu masamu

Mu njira ya sukulu ya masamu chofunika kukumana zolinga. Ena analamulira mapazi angapo, ena amafuna chithunzi ena.

Mavuto kuthetsedwa ndi aone kuti pali, koma pakuwonana koyamba kovuta. Ngati muchita, ndondomeko amapita ku basi.

akalumikidzidwa zojambula

Pofuna kumvetsa funsoli, muyenera kupeza kotheratu. Mosamala tanthauzo la chikhalidwe, ndi bwino kuti muwerengenso kangapo. Mavuto kuti aone kuti pali kokha pakuwonana koyamba kovuta. Taganizirani chitsanzo kuyamba yophweka.

Dan rectangle, m'pofunika kupeza malo ake. Popeza: m'lifupi pa 48% osachepera kutalika kwa mpanda rectangle ndi 7.6 masentimita.

Vuto kuthetsa mu masamu kumafuna kusamala vchityvaniya, logic. Pamodzi, tiyeni kuthana nazo. Kodi muyenera loyamba la onse kuti aganizire? Ife potanthauza kutalika x. Choncho, aone kuti pali ichi, m'lifupi adzakhala 0,52h. Tinapatsidwa kukafika kutsogolo - 7.6 centimeter. Timaona semiperimeter, izi 7.6 masentimita kugawidwa ndi 2, izo ndi wofanana ndi masentimita 3.8. Ife tiri aone kuti pali chimene ife tikupeza m'litali ndi m'lifupi:

0,52h + × = 3.8.

Tikadzuka × (kutalika), n'zosavuta kupeza ndi 0,52h (m'lifupi). Ngati tikudziwa mfundo ziwirizi, ife tikupeza yankho la funso waukulu.

Mavuto kuthetsa aone kuti pali ndi, si monga zovuta monga iwo zikuoneka kuti tingamvetse pa chitsanzo choyamba. Tapeza kutalika × = 2.5 cm, M'lifupi (Y oboznchim) 0,52h = 1.3 cm. Pitani ku deralo. Ndi yosavuta chilinganizo S = × * Y (kwa rectangles). Mu vuto lathu S = 3,25. Ichi chidzakhala yankho.

Tiyeni tione zitsanzo za kuthetsa mavuto ndi kupeza malo. Ndipo nthawi iyi, ife timatenga rectangle. Yothetsera mavuto mu masamu pa kupeza wozungulira, dera, kanjedza osiyana zambiri. Timawerenga mawu a vuto: anapatsidwa rectangle, m'litali ndi 3.6 masentimita kwambiri m'lifupi, lomwe ndi 1/7 ya kukafika kutsogolo kwa maonekedwe. Pezani malo a rectangle lapansi.

Zidzakhala yabwino tisonyezeni kachigawo variable ×, ndi kutalika (× + 3.6) masentimita. Timapeza wozungulira:

P = 2 + 3.6.

Sitingathe kuthetsa aone kuti pali, chifukwa ife tiri nawo mwa zosintha ziwiri. Choncho, ife kuyang'ana kachiwiri chikhalidwe. Akuti m'lifupi ndi wofanana ndi 1/7 ya wozungulira lapansi. Timachotsa aone kuti pali:

1/7 (2 + 3,6) = x.

Pakuti mayiko njira, ife kuchulukitsa mbali ya aone kuti pali ndi 7, kotero ife tifike kuchotsa nusu la:

2 + 3.6 = 7x.

Titatha kutuluka njira X (m'lifupi) = 0.72 cm. Kudziwa m'lifupi, kutalika anapezazo:

0.72 + 3.6 = 4.32 cm.

Tsopano ife tikudziwa m'litali ndi m'lifupi lolingana funso waukulu zimene dera rectangle a.

S = × * Y, S = 3,1104 cm.

Zitini za mkaka

Kuthetsa mavuto ntchito maikwezhoni amayambitsa mabvuto kusukulu, ngakhale kuti nkhani limayamba kalasi chachinayi. Pali zitsanzo zambiri zomwe takambirana mu mtima wa malo a kanjedza, tsopano digress pang'ono kuchokera Masamu a. Tiyeni tiwone ntchito yosavuta ndi yokonza matebulo, amathandiza zowoneka: monga deta kuthandiza pothetsa yoonekera.

Pemphani ana kuwerenga chikhalidwe cha vuto ndi kulenga tchati kuthandiza yolemba anthu aone kuti pali. Ndicho chikhalidwe: pali zitini ziwiri, mkaka woyamba katatu kuposa wachiwiri. Ngati woyamba anatsanulira malita asanu wachiwiri, mkaka adzakhala mofanana wogawanika. Funso: angati zitini za mkaka uliwonse?

Kuthandiza kuthetsa kufunika jambulani tebulo. Kodi kumaoneka bwanji?

chisankho

	zinali	inasanduka
1 akhoza wa	3	3 - 5
2 zitini	×	× + 5

Kodi thandizo mu drafting wa aone kuti pali chiyani? Tikudziwa kuti chifukwa mkaka anali ofanana, anthu aone kuti pali lidzakhala motere:

3 - 5 + x 5;

2 = 10;

x 5.

Tidapeza kupanga ndalama koyamba churns mkaka wachiwiri, ndiye woyamba anali: 5 * 3 = 15 malita mkaka.

Tsopano, kalongosoledwe kakang'ono pa tebulo zojambula.

Chifukwa ndife loyamba akhoza zaikidwa 3: mu chikhalidwe chinanena kuti mkaka katatu zosakwana mu zitini chachiwiri. Kenako timawerenga kuti poyamba 5 malita a zitini zinawukhira Choncho anakhala 3 - 5, ndi wachiwiri adatsanulira: × + 5. N'chifukwa chiyani tiyenera chizindikiro ofanana pakati pa mawu awiri? Zikhalidwe za vuto limanena kuti mkaka wakhala mofanana.

Kotero ife tipeze yankho: choyamba akhoza - malita 15, ndipo chachiwiri - 5 malita a mkaka.

Khama la kuya

Malinga ndi vuto: chakuya bwino woyamba pa mamita 3.4 kuposa wachiwiri. The bwino woyamba chinawonjezeka ndi mamita 21,6, ndipo chachiwiri - katatu, pambuyo zimenezi zitsime ndi kuya chomwecho. Muyenera kudziwa kuya kwa aliyense komanso anali pachiyambi.

Njira mungaithetsere achuluka, zikhoza kutheka ndi mchitidwewo amapanga maikwezhoni kapena kachitidwe kawo, koma yabwino kusankha kwachiwiri. Kupita ku gome kusankha sotavim, monga chitsanzo m'mbuyomu.

chisankho

	zinali	inasanduka
1 bwino	+ 3.4 ×	× + 3.4 + 21.6
2 bwino	×	3

Ife chitani yokonza aone kuti pali lapansi. Popeza akuya bwino kukhala zofanana, izo ali mawonekedwe zotsatirazi:

× + 3.4 + 21.6 = 3;

× - 3 = -25;

-2x = -25;

× = -25 / -2;

× = 12,5

Tidapeza kuya yoyambirira ya bwino chachiwiri, tsopano akhoza kupeza loyamba:

12.5 + 3.4 = 15.9 m.

Pambuyo zimene anachita zinalembedwa Yankho: 15,9 m, 12,5 m.

abale awiri

Onani kuti vuto limeneli zosiyana ndi m'mbuyomo chifukwa cha chikhalidwe poyamba anali nambala yomweyo ya zinthu. Choncho, tebulo wothandiza analengedwa mu dongosolo n'zosiyana, mwachitsanzo, kuchokera "unakhala" "wakhala".

Ulili: Abale awiri anapereka mofanana mtedza, koma mkuluyo anapereka mbale wake wamng'ono 10 pambuyo wamng'ono mtedza kasanu kwambiri. Kodi mtedza ambiri tsopano ndi mnyamata aliyense?

chisankho

	zinali	inasanduka
akuluakulu	× + 10	×
wamng'ono	5x - 10	5x

Salisiyanitsa kuti:

x 10 + 5x - 10;

-4h = -20;

x 5 - mtedza anali mkulu wake;

5 * 5 = 25 - ndi mng'ono.

Tsopano mukhoza kulemba yankho: 5 mtedza; 25 mtedza.

kugula

The sukulu ayenera kugula mabuku ndi makope, woyamba ndi zodula wachiwiri pa 4.8 rubles. Muyenera kudziwa mmene buku limodzi ndi buku lina, ngati kugula mabuku twente-faifi ndi kope limodzi analipira ndalama zofanana.

Akuyendera kuti njira, m'pofunika kuyankha mafunso otsatirawa:

• Ndi chiyani icho mu vuto?
• Ndalama mumalipira bwanji?
• Kodi kugula?
• Mfundo zimene zikhoza equalized ndi mzake?
• Kodi muyenera kudziwa?
• ndi phindu anatengedwa × chiyani?

Ngati inu anayankha mafunso onse, ndiye chitani zochita. Muchisanzo chimenechi, monga mtengo wa × akhoza analandira ngati mtengo wa kope, ndipo mtengo wa mabuku. Asadziphe ziwiri:

1. × - phindu la kope, ndiye × + 4.8 - mtengo wa bukhu. Kuchokera pa ichi, timapeza aone kuti pali: 5 = 21x (× + 4.8).
2. × - mtengo wa bukhu, ndiye × - m'mabuku mtengo - 4.8. The aone kuti pali ali mawonekedwe: 21 (× - 4.8) = 5x.

Mukhoza kusankha okha njira yabwino kwambiri, ndiye ife kuthetsa maikwezhoni awiri fanizirani mayankho, chifukwa, iwo ayenera kukhala yemweyo.

Yoyamba njira

The njira ya aone kuti pali loyamba:

5 = 21x (× + 4.8);

4,2h = × + 4.8;

4,2h - × = 4.8;

3.2x = 4.8;

× = 1.5 (rubles) - phindu la kope limodzi;

4.8 + 1.5 = 6.3 (rubles) - mtengo wa buku limodzi.

Njira ina kuthetsa aone kuti pali ichi (kutsegula zolemba):

5 = 21x (× + 4.8);

21x = 5x + 24;

16X = 24;

× = 1.5 (rubles) - phindu la kope limodzi;

1.5 + 4.8 = 6.3 (rubles) - mtengo wa buku limodzi.

Njira yachiwiri

5x 21 = (× - 4.8);

5x = 21x - 100,8;

16X = 100,8;

× = 6.3 (rubles) - mtengo 1 m'buku;

6.3 - 4.8 = 1.5 (rubles) - mtengo wa kope a.

Monga Tingaone zitsanzo, mayankho zofanana Choncho, vutoli anathana molondola. Samalani zochita lamanja, mu chitsanzo chathu alibe yankho ndi negative.

Palinso mavuto ena kuti atha mothandizidwa ndi aone kuti pali, monga kayendedwe. Taganizirani mwatsatanetsatane mu zitsanzo zotsatirazi.

magalimoto awiri

M'chigawo chino tikambirana za ntchito filimu. Kuti athe kuthana ndi mavutowo, muyenera kudziwa ulamuliro zotsatirazi:

S = V * T,

S - mtunda, V - mathamangidwe, T - nthawi.

Tiyeni tione chitsanzo.

Awiri galimoto kumanzere imodzi mfundo kufika B. The woyamba mtunda okwana anayenda pa liwiro, zoyambirira za njira yachiwiri woyendayenda pa liwiro la 24 Km / h, ndipo chachiwiri - 16 km / h. M'pofunika kudziwa liwiro la pagalimoto woyamba kuwalozera B ngati iwo anafika pa nthawi yomweyo.

Kodi tiyenera kwa buku la aone kuti pali ndi: yaikulu variable V ₁ (liwiro la galimoto yoyamba), zazing'ono: S - njira T ₁ - nthawi yoyamba mu njira galimoto. Aone kuti pali: S = V ₁ * T _1.

Komanso: zoyambirira za njira yachiwiri galimoto (S / 2) lankhosa pa liwiro V ₂ = 24 km / h. Timapeza mawu akuti: S / 24 * 2 = T _2.

Mbali ina ya njira iyo anayenda pa liwiro V ₃ = 16 km / h. Timapeza S / 2 = 16 * T _3.

Komanso kuoneka kwa chikhalidwe galimoto anafika imodzi, motero T ₁ = T ₂ + T _3. Tsopano tili kusonyeza variable T _1, T _2, T ₃ mikhalidwe yathu yapita. Timapeza anthu aone kuti pali: S / V ₁ = (S / 48) + (S / 32).

S kuvomereza unit ndi kuthetsa aone kuti pali:

1 / V ₁ = _1/48 + _1/32;

1 / V _{1 = (2/96) + (3/96} ) ;

1 / V ₁ = 5/96;

V ₁ = 96/5;

V ₁ = 19.2 km / h.

Ichi ndi yankho. Mavuto kuthetsa aone kuti pali kuti, ndi kobvuta koyamba. Kuwonjezera vuto pamwambapa anasonyeza angafikire ku ntchito, zimene lafotokozedwa mu gawo lotsatira.

ntchito ntchito

Kuti athetse mtundu wa ntchito muyenera kudziwa njira:

A = VT,

kumene A - ndi ntchito, V - zokolola.

Lofotokoza mwatsatanetsatane za kufunika kupereka chitsanzo. Mutu "Vuto Kuthetsa aone kuti pali" (kalasi 6) simungakwaneko mavutowa, popeza mlingo kovuta komabe Mwachitsanzo pakuyenerera.

Mwawerenga mosamala mawu: antchito awiri ntchito pamodzi ndi kusunga dongosolo kwa masiku khumi. Muyenera kudziwa nthawi yaitali bwanji zimatengera wantchito woyamba kuchita malamulo omwewo okha. Amadziwika kuti adzachite kwa masiku awiri kuchuluka kwa ntchito monga munthu wachiwiri masiku atatu.

Kuthetsa mavuto yolemba maikwezhoni amafuna zinthu mosamala kuwerenga. Chinthu choyamba taphunzira vuto kuti ntchitoyo n'chiyani, ndiye izo monga amodzi, ndiye A = 1. Ngati vutoli amatanthauza nambala inayake mbali, kapena malita, ntchito azitenga deta izi.

Ife potanthauza matulukidwe a yoyamba ndi yachiwiri ntchito kudzera V ₁ ndi V _2, motero, pa siteji iyi, mwina kujambula anthu aone kuti pali zotsatirazi:

1 = 12 (V ₁ + V _2).

Kodi aone kuti pali likutiuza? Kuti ntchito yonse anachita ndi anthu awiri maola khumi ndi ziwiri.

Pamenepo tingathe kunena kuti: 2V ₁ = 3V _2. Chifukwa woyamba amachita monga momwe lachiwiri la atatu mu masiku awiri. Tili ndi dongosolo la maikwezhoni:

12 1 = (V1 + V2);

2V = 3V _{1 2.}

Potsatira zotsatira za kuthetsa dongosolo, ife talandira anthu aone kuti pali ndi variable chimodzi:

1 - 8V = 12V _{1 1;}

V ₁ = _1/20 = _0,05.

Iyi ndi nthawi yoyamba ntchito zokolola. Tsopano ife tikhoza kupeza nthawi imene kulimbana ndi ntchito zonse munthu woyamba:

A = V ₁ * T _1;

1 = 0.05 * T _1;

T ₁ = 20.

Kuyambira pa wagawo nthawi Analeredwa tsiku, yankho lake: masiku 20.

kusintha vuto

Ngati muli bwino katswiri luso zothetsera mavuto kayendedwe, ndi zolinga za ntchito mukumana ndi mavuto ena, n'zotheka ntchito kuti magalimoto. Kodi? Ngati inu kutenga chitsanzo otsiriza, chikhalidwe adzakhala motere: Oleg ndi Dima ikuyenda kwa mzake, zidzachitika pambuyo maola 12. Pakuti angati njira yogonjetsera kudzikonda Oleg, ngati inu mukudziwa kuti ndi maola awiri akudutsa mtunda wofanana njira Dima maola atatu.