Kunezindaba Mathematical ezasenkulisa nabafundi 3, 5 no-6 amakilasi. Izihloko zamaqhawe Mathematical

Mathematics - isayensi lunembile hhayi kuphela, kodwa futhi kunzima ngempela. Akuwona wonke kulula, kodwa ukuze unamathisele ingane ukuphikelela nothando izinombolo kunzima nakakhulu. Muva nje, othisha indlela ethandwa ezifana zezibalo inganekwane. Imiphumela kwesilingo uwasebenzise umkhuba, umxhwele, ngakho-ke yezinganekwane babé yinto indlela ephumelela ukwethula izingane isayensi. Bayanda basuke benza ezikoleni.

Izindaba mayelana nombolo kokuncane kunakho

Manje, ngaphambi kokuba ingane iya ekilasini lokuqala, kufanele akwazi ukubhala, ukufunda ukwenza izibalo kakhulu elula. Abazali uyozuza zezibalo inganekwane esikoleni, ngoba nabo izingane ufunde mayelana nezwe elimangalisayo izinombolo ngendlela playful.

Lezi izindaba - indzaba lelula mayelana okuhle nokubi, lapho abalingiswa abasemqoka kukhona izinombolo. Sinenkosi ezweni lakubo futhi umbuso yabo, inkosi, othisha kanye nabafundi, ngisho kulezi imigqa kuyadingeka zokuziphatha samanje, okuyinto catch futhi udinga isilaleli kancane.

Inganekwane mayelana uyaziqhenya Digit Omunye

Uma inombolo eyodwa ukuhambahamba emgwaqweni wabona isibhakabhaka rocket.

- Hey, esheshayo kanye emincanyana rocket! Ngingumfana inombolo eyodwa. Nginesizungu kakhulu futhi uyaziqhenya njengawe. Ngithanda ukuhamba ngedwa, futhi ningesatshiswa nokukodwa okwesabisayo. Ngikholwa ukuthi isizungu yisona - lena luyimfanelo ebaluleke kakhulu, kanti lo okunguyena kuphela, ilungile njalo.

Lokhu rocket waphendula:

- Kungani ngingakwazi wedwa? Cha, kwenzeka okuphambene. Ngithatha ama-zezinkanyezi ukuba isibhakabhaka, bahlala ngaphakathi kimi, futhi zonke ezisizungezile - izinkanyezi namaplanethi.

Ukuba wathi, rocket yandiza, futhi Heroine yethu akagcinanga futhi wabona inombolo ezimbili. Washeshe ezifudumele umngane uyaziqhenya futhi unesizungu:

- Sawubona, Omunye, waya sishaywe nami.

- angifuni, ngithanda ukuba wedwa. Noma ubani omunye ukuthi iyona ebaluleke kakhulu - Unit amahemuhemu.

- Kungani ucabanga ukuthi umuntu munye, ebaluleke kakhulu? - ebuzwa Deuce.

- In abantu, enye inhloko, futhi okubaluleke kunakho konke, kusho ukuthi umuntu - kungcono kuka ezimbili.

- Nakuba indoda futhi ikhanda elilodwa kodwa izandla zimbili izinyawo. Ngisho umbala i-pair of amehlo nezindlebe. Futhi lena izitho ezibaluleke kakhulu.

Khona-ke iyunithi waqaphela ukuthi esinye nzima kakhulu, waya sishaywe nenani ezimbili.

Funny izibalo izinombolo. Tale mayelana amathathu futhi ababili

Kwesinye isikole isimo lapho zonke izingane ayekuthanda ukufunda, kwakukhona isibalo emihlanu. Bonke abanye babenomona ngaye, ikakhulu emithathu ezimbili. Futhi ngelinye ilanga, abangane ababili banquma ukushayela aphume ezifundazwe ezinhlanu eziphezulu abafundi wabathanda, hhayi ukuhlolwa zaziswe. Ngacabanga futhi ngacabanga indlela yokukwenza, kodwa ngokuvumelana nemithetho isimo sibalo esikoleni saxosha akekho ovunyelwe, kungaba kuphela shiya bebodwa.

Three futhi ababili banquma ukwenza syllogism. They phikisana inombolo emihlanu. Uma engayikhokhi uwine, enendawo ukushiya. Isihloko ingxabano uvele uphendula umfana Abanqotshiwe ku isifundo izibalo. Uma uthola otmenku "emihlanu", onesibindi sibalo win, kanti uma kungenjalo, khona-ke abawinile kuzoxoxwa njengoba emithathu ezimbili.

idijithi amahlanu ngokwethembeka ukulungiselela isifundo. Wasebenza ubusuku bonke enaye umfana, futhi wafundiswa izibalo ukulingana. Ngakusasa, omunye umfundi esikoleni "emihlanu", Heroine yethu kwi emithathu ezimbili kwafuneka abaleke sehlazweni.

Kunezindaba Mathematical izingane ubudala wasesikoleni samabanga aphansi

Izingane ukulalela injabulo indaba zezibalo. 3 izibalo ekilasini nabo ugxile kalula kakhulu into. Kodwa lalela hhayi kuphela, kodwa futhi ukuze ekubhaleni tindzaba tabo kukhona guys ngalesi yobudala.

Zonke izindaba kule nkathi akhethiwe kahle elula. Izinhlamvu main kukhona izinombolo kanye nezimpawu. Kubalulekile kakhulu ngalesi yobudala ukukhombisa izingane indlela ukufunda kahle. Ulwazi oluningi okuwusizo, abazali nothisha kungatholakala ezincwadini Libanga le-3 ( "Mathematics"). Kunezindaba Mathematical elinezinhlamvu ezahlukene uchaze ngezansi.

Umzekeliso mayelana inani elikhulu

Saqoqa uma zonke izinombolo ezinkulu futhi saya endaweni yokudla ukuze uphumule. Phakathi kwabo kwakuno-Russian - Crow, Deck, ubumnyama kakade enezinkulungwane zeminyaka yenzeka, futhi uyaziqhenya izivakashi zakwamanye amazwe - kwesigidi, trillion quintillion futhi sextillion.

Futhi zatshela kwasemini esiphawulekayo: pancake caviar ezimnyama, champagne ezibizayo, udle, ukuhamba, noma yini akusho ukuphika cha. Itafula labo ukusebenza isikhonzi - uzwane. Running emuva naphambili, zonke izimpahla, izibuko eziphukile uyawathena, ubakhathalela, wakwenza ngokuzikhandla. A izivakashi esiphakeme uzazi wena ngokuqinile: "Yisondeze, ukuletha se." Unganaki uzwane. A sextillions banikeza ngempama.

Mina ubuhlungu uzwane bese kwesokunxele yokudlela. Futhi zonke okusezingeni eliphezulu Inani elikhulu amayunithi ezivamile ezingenamsebenzi. Kunjalo, awukwazi ukucasula ngisho nalabo okubonakala sengathi engabalulekile.

Isibalo nomunye engaziwa

Futhi nakhu okunye tale zezibalo (Grade 3) - engaziwa X-Men.

Uma sahlangana izinombolo ezahlukene kwelinye equation. Kwakukhona phakathi kwabo integers bese kukhishwa nezingxenyana, ezinkulu ngalokuvakalako. Babengabahlangabezanga seluseduze kangaka, futhi ngakho waqala ukwazana:

- Sawubona. Mina - Unit.

- Sawubona. Mina - Twenty Two.

- Futhi mina - ezimbili kwezintathu.

Ngakho abakubonisayo, nengangibajwayele, futhi omunye sibalo wema eceleni futhi awushayelana uqobo. Yakwenza ukubuza, wazama ukuthola, kodwa yonke imibuzo iimbalobalo:

- Angikwazi ukusho!

Ukuziphindiselela lapho esho la mazwi, futhi nenombolo waya uphawu abahlonishwa kakhulu kokulingana. Waphendula:

- Ungakhathazeki, ngokushesha sizofika isikhathi futhi uzothola ukuthi hlobo luni sibalo. Ungajahi ake le nombolo ayikaziwa. Thina ukukubiza ngokuthi X-Men.

Bonke bavumelana ne equalities, kodwa namanje ukuba sisale kude X sika wawela ngemuva uphawu ukulingana. Lapho zonke izinombolo zikleliswe, baqala ukwanda, ukuhlukana, tente bayiswa. Lapho zonke izinyathelo eziye zenziwa, kubonakala sengathi u-X engaziwa eyaduma futhi zazilingana inombolo eyodwa nje.

Ngakho embule izimfihlo oluyimfihlakalo X sika. Futhi uma ungakwazi ukuxazulula zezibalo puzzle-tale?

Izindaba mayelana izinombolo walesigaba yesihlanu

Esikhathini Ebangeni lesithathu, izingane zona zijwayele i-arithmetic, kubala izindlela. Kubo ukulingana iphazili eyingozi. Ngalesi ubudala, izingane unamathisele kahle ukuba ngumnikazi asungula izindaba ngezinto kakade abakufundile. Cabangela lokho okufanele kube zezibalo inganekwane (Libanga 5).

scandal

Kokunye umbuso izibuyekezo wahlala izibalo ezahlukene. Futhi zaba khona ngempela ngokuthula, ukuqeda basekelane. I-oda balandela indlovukazi Axiom futhi theorems babe ngabasizi bakho. Kodwa uma Axiom nempilo ebuthaka, futhi ngakusebenzisa ngokunenzuzo ukuba sibalo. Baqala ukuthola ukuthi ngubani iyona into ebaluleke kakhulu. Umbango wangenela theorems, kodwa abakwazanga ukusiza ukwethuka jikelele.

Ngenxa yalokho we chaos izibuyekezo umbuso senkingeni enkulu iqale ngo abantu. Zonke nojantshi wayeka ukusebenza njengehhovisi imigqa parallel yafinyelela ikhaya etshekile ngoba amabhokisi kwathathelwa indawo octahedra kanye dodecahedron. Imishini rose, imishini awahlelanga. Kwakubonakala umhlaba wonke gone nenkinga enkulu.

Ukubona zonke lokhu, Axiom clutched ikhanda lakhe. Uyalele zonke theorems iyahambelana bese ulandela nomunye ngekulandzelana. Ngemva kwalokho, bonke theorems kwakufanele abuthe zonke izibalo wakhe ongaphansi nokuchaza ngamunye injongo yawo enkulu emhlabeni womuntu. Ngakho ukuze kubuyiselwe ukuthula e izibuyekezo ezweni.

Tale of a Point

Kukhona ezahlukene ngokuphelele zezibalo inganekwane. Izinombolo kanye nezinombolo, amafraktjhini nokulingana avele kuzo. Kodwa ngaphezu kwakho konke ibanga lesihlanu efana izindaba ngezinto ukuthi usanda kuqala sokumazi. Abafundi abaningi abaqapheli ukubaluleka, izinto ezilula eziyisendlalelo, okungaphandle kwazo ke zibhidlike emhlabeni wezibalo. Bachazele ukuthi ukubaluleka uphawu yakhelwe kuyinto zezibalo inganekwane enjalo (Libanga 5).

iphuzu Little Wazizwa enesizungu kakhulu embusweni wezibalo. Yena yayincane kangangokuba ngale ndaba njalo ukhohlwe ibekwe kuphi futhi ngokuphelele ihlonishwe. Kungakhathaliseki ukuthi uqonde! Kuyinto enkulu, has a ubude. It kuyabonakala, futhi akekho noyedwa ukumkhohlwa ukudweba.

Futhi ngicabanga ukuthi iphuzu ukubaleka umbuso, ngoba ngenxa yakhe njalo ezinye izinkinga. Kuboshwe umfundi Deuce sokudonsa ngoba ukhohlwe ukubeka iphuzu, noma okuthize. Wazizwa Ukunganeliseki nabanye futhi yena wahlushwa lokhu.

Kodwa lapho ukuya khona? Kingdom, nakuba ezinkulu, kodwa kukhethwa into encane. Futhi ngaleso sikhathi kuqhubeke iphuzu usizo lwaluvela okuqondile futhi uthi:

- Point, ukusebenzisa yimina. Ngingumfana okungenamingcele eziyosebenza ngaphesheya umbuso.

Khomba wenza kahle. Futhi ngokushesha nje lapho ethola yahamba endleleni uhambo, kwakukhona chaos Mathematics. Izinombolo Thukuthelani, baqoqene ndawonye, ngoba akekho manje ukuchaza indawo yabo ugongolo digital. A imisebe waqala chaza phambi kwamehlo ethu, ngoba abazange babe amaphuzu ukuthi kuyokwehlisa kubo bese ephenduka ibe izingxenye. Izinombolo saphela nande, ngoba manje uphawu lokuphindaphinda salandelwa i cross etshekile, futhi yini ukuthatha naye? Yena etshekile.

Thukuthelani zonke izakhamuzi zombuso futhi saqala ukucela iphuzu ukubuya. Futhi yena Rolls Yazi wena njengoba Bun, i umugqa elingapheli. Kodwa ezwa ngesicelo bakubo, futhi wanquma ukuphindela. Kusukela ngaleso sikhathi, kwaba seqophelweni akugcini nje sinendawo yaso emkhathini, kunalokho bawuhlonipha kakhulu futhi idunyiswe, ngisho has definition lalo.

Yini yezinganekwane ungafunda lesithupha?

Ngo lesithupha, izingane ziyazi ngaphezulu kanye nokuzwisisa. It has izingane omdala cishe nesithakazelo emlandweni lasekuqaleni. Kubo-ke ungakwazi ukuqhubeka okungathí sina, ezifana zezibalo inkinga-yezinganekwane. Nazi ezimbalwa ongakhetha kuzo.

Indlela akha Ukudidiyela umugqa

Le ndaba imayelana nendlela ukhumbule futhi baqonde ukuthi inombolo value engemihle futhi omuhle. Kuyokusiza ukuqonda isihloko indaba zezibalo (Libanga 6).

Wahamba-esemhlabeni a engenabantu Plus uphawu. Akaphindanga abangane. Ngakho azulazula ehlathini isikhathi eside, angikanyukeli wahlangana kwesokudla. Kwaba lula futhi akekho wayefuna ukukhuluma naye. Plus ngemvume kwalokho ayimema sishaywe ndawonye. Direct bajabula futhi bavuma. Ngenxa yalesi wanikela ukuhlala kancane plus nezingalo zaso isikhathi eside.

Woza nabangani bezulazula ehlathini elimnyama. Bazulazula ngokusebenzisa indlela ewumngcingo uze evulekile lapho indlu yema. Bona sangqongqoza yavula Minus, futhi owayengumphathi enesizungu futhi akekho ayenobungane. Khona-ke yena wajoyina i-Direct kanye uphawu lokuhlanganisa, futhi aqhubeka ndawonye.

Baya edolobheni kaNumeri, lapho ezinye izibalo wahlala. Sibone plus kancane futhi lokususa amadijithi angu-futhi ngifuna ukwenza abangane nabo. Baqala miss omunye.

Umsindo kwaba inkosi yombuso Zero. Wayala bonke agudle agudle up, wema phakathi. Bonke labo ababefuna ukuba plus, kwakudingeka bavuke at elifanayo ukusuka komunye ohlangothini lwesokudla iNkosi, nalabo nge lokususa - ngendlela efanayo kodwa ngakwesokunxele, inyuka oda. Ngakho elamiswa ngalo Ukudidiyela umugqa.

imfumbe

Izihloko zamaqhawe Mathematical uzisibekele yonke imibuzo lidlule. Nayi iphazili okuhle ezokwenza afingqe ulwazi geometry.

Saqoqa kanye zonke calandze ndawonye bese benquma okumelwe akhethe phakathi kwawo into ebaluleke kakhulu. Kodwa ungakwenza kanjani na? Sanquma ukuba avivinye. Ubani ozothola ukuhlanzwa Mathematics umbuso kuqala, nokuthi kuyoba main. Ngalolo inothi, bavumelana.

Entathakusa, Kwase kufika onke amalunga Quads evela endle. Hamba, futhi indlela kweqa emfuleni okusheshayo. Uthi:

- Akuyena wonke umuntu uzokwazi ukuya ngami. Ngakolunye uhlangothi izoya kuphela labo abaye idayagonali empambana iphuzu ahlukaniswe isigamu.

Othile ushiye, kanti bonke abanye baqhubekela. Lesi sikhathi endleleni wema entabeni ende. Wafaka isimo sakhe:

- Ukuze anqobe phezulu yami kuyoba nalabo abanomthwalo diagonals bayalingana kuphela.

Nalapha unyawo quadrangles babe losers, kanti bonke abanye waqhubeka. Kungazelelwe - ukuyeka kwebhuloho ewumngcingo ukuthi kungathatha eyodwa kuphela, leyo Phambanisa idayagonali at engele kwesokudla.

Nakhu umbuzo:

- Wayengubani quadrangle main?

- Wayengubani esincintisana esikhulu bafika kuleli bhuloho?

- Ngubani ngowokuqala mncintiswano?

Riddle unxantathu isosceles

Kunezindaba Mathematical wezibalo kungaba bezijabulisa kakhulu futhi empeleni yayo aqukethe umbuzo ezifihliwe.

Kwelinye izwe kwakukhona umndeni Triangle: umama-side, ohlangothini-ubaba nendodana-base. Sekuyisikhathi ukukhetha indodana yakhe ibe ngumakoti wakhe.

Futhi base wayethobekile kakhulu futhi ngobugwala. Wayesaba konke entsha, kodwa akuhlangene, udinga ukuba ashade. Khona-ke unina noyise wamthola umakoti okuhle - the Med kusuka umbuso engumakhelwane. Kodwa kwakukhona ngesikhathi Med umhlengikazi kakhulu ezimbi owahlela nomkhwenyana yethu yonke sizi.

Siza ezineshwa ngesisekelo ukuxazulula izinkinga eziyinkimbinkimbi nokugada izibuyekezo beshada Med. Nazi imibuzo ngokwabo:

- Sitshele ukuthi ibizwa ngokuthi unxantathu isosceles.

- Indlela kuyinto unxantathu isosceles kusukela equilateral?

- Ngubani imidiyeni, futhi yini sici?

Riddle enkulu

Ngo uhlangothi, budebuduze umbuso Aritmethikhi, ezine yemifino wahlala. Khona-ke babizwa ngokuthi, kuphi futhi kanjani. Eva Njalo kaNcibijane ingenye bavuse komtamariske ngoKhisimusi ukuphakama imitha elilodwa. Bayilungisa 62 enamakamelo amabhola yakhe, omunye unyobuluka weqhwa nokukodwa lwenkanyezi. Kodwa ngolunye usuku banquma ndawonye ukuba bahambe isihlahla sikaKhisimusi. Futhi baye bakhetha amahle kakhulu futhi eliphakeme. Baletha ekhaya, kodwa Kwavela ukuthi imihlobiso kancane. We kala esihlahleni, futhi kwaba izikhathi eziyisithupha ephakeme kunokujwayelekile.

Bala usebenzisa olinganise bangaki udinga ukuthenga ubucwebe gnomes.

Hero Planet Violet

Ngenxa yalokho kophenyo kwatholakala ukuthi Violet iplanethi ophilayo izidalwa esinemizwa. Kwanqunywa ukuba uthumele uhambo lapho. Ithimba ithole Abanqotshiwe Kohl. Kwenzeka isimanga ngoba ngaphambi iplanethi wakwazi ukuthola naye ninodwa. Akukho ukwenza, udinga ukwenza umsebenzi obalulekile Earth.

Kwabe sekuvela ukuthi, bonke abakhileyo iplanethi zazihlala ezindlini round, ngoba abantu wayengazi ukuthi ukubala indawo isikwele. Earthlings anqume ukubasiza, futhi ukwenza kwaba Nick.

Kodwa umfana wayengazi izibalo zama-engela. Wayengafuni ukufunda, umsebenzi wesikole njalo bekhohliswa. Akukho ukwenza, udinga ukuthola indlela ukufundisa izakhamizi Violets ukuthola indawo efanele. Nge nobunzima obukhulu Kohl bakhumbula ukuthi isikwele nge ohlangothini 1 cm ine indawo 1 sq. cm futhi isikwele nge ohlangothini 1 m - 1 square. m., nokunye. Ukubonisana, Kohl zaveza isikwele futhi yaba izigcawu 1 cm It kufanela izicucu zabo 12, 4 kolunye uhlangothi futhi ezintathu - .. Ngakolunye.

Kohl sabe sesigxila omunye isikwele, kodwa izikwele 30. Kulaba, 10 babekwa kanye uhlangothi, 3 - kanye nezinye.

Siza Cole ukubala indawo isikwele. Record ifomula.

Futhi ungabhala zezibalo yakho inganekwane noma inkinga?