Yadda za a warware sihiri square (Grade 3)? Amfanin ga dalibai

Ilmin Lissafi wasanin gwada ilimi zama baba misali lambar. Kowace daga cikinsu ne na musamman a kansu hanya, amma su laya ta'allaka ne da cewa da mafita zai babu makawa dole zo dabarbari. Hakika, za mu iya ƙoƙari su warware su, kamar yadda suka faɗa, a bazuwar, amma zai kasance wani sosai tsawon lokaci da kuma kusan babu nasara.

Wannan talifin zai magana game da daya daga wadannan asirai, amma ya zama daidai - na sihiri square. Mun bincika daki-daki, yadda za a warware sihiri square. 3 aji na wani m shirin, ba shakka, shi da ke ba, amma watakila ba kowa ya gane ko bai tuna.

Menene wannan asiri?

Magic square, ko kamar yadda shi ne ake kira, sihiri - a tebur a wadda yawan ginshikan da layuka na daya, kuma dukansu suna cike da daban-daban Figures. Babban kalubale ga Figures a cikin adadin tsaye, a kwance, kuma diagonal bayar da wannan darajar.

Bugu da kari ga sihiri square, akwai kuma wani Semi-sihiri. Yana nuna cewa Naira Miliyan Xari da lambobin amma wannan tsaye da kuma horizontally. Magic square "al'ada" kawai a yayin da amfani cika halitta lambobi daga hadin kai.

Har yanzu akwai irin wannan abu a matsayin mai fasali sihiri square - wannan shi ne lokacin da darajar Naira Miliyan Xari biyu lambobi ne daidai, a lokacin da aka shirya symmetrically tare da girmamawa ga cibiyar.

Yana da muhimmanci a san cewa murabba'ai iya zama na da wani size a Bugu da kari ga 2 da 2 square 1 a 1 aka kuma dauke su sihiri, kamar yadda duk yanayi da ake cika, ko da yake shi kunshi guda lambar.

Saboda haka, tare da definition mun karanta, yanzu bari mu magana game da yadda za a warware sihiri square. 3 manhaja aji ne mai wuya a bayyana duk abin da, kamar yadda bayani kamar yadda wannan labarin.

Mene ne mafita

Mutanen da suka san yadda za a warware sihiri square (3 aji san daidai), nan da nan ce cewa mafita ne kawai uku, kuma kowane daga cikinsu ya dace domin daban-daban murabba'ai, amma har yanzu ba zai iya watsi da hudu bayani, wato, "bazuwar" . Bayan duk, a wasu hanya akwai yiwuwar cewa jahilan mutane har yanzu su iya warware wannan wuyar warwarewa. Amma wannan hanya da muke ajiye a wani dogon akwatin da kuma tafi kai tsaye zuwa ga dabarbari da kuma dabaru.

Na farko hanya. Lokacin da square ne m

Wannan hanya ne kawai dace da warware irin wannan square, wanda yana da wani m yawan Kwayoyin, misali, wata 3 da 3 ko 5 a kan 5.

Saboda haka, a cikin wani hali da farko dole sami sihiri akai. Wannan lambar, wanda aka samu a lõkacin da adadin lambobin diagonally, vertically da horizontally. An lasafta ta yin amfani da dabara:

A wannan misali, mun yi la'akari da square uku da uku, da dabara zai yi kama da haka (n - yawan ginshikan):

Saboda haka, muna da wani square. Abu na farko da ya yi - shi ne shigar da lambar da daya a cikin cibiyar na farko line daga saman. All m lambobin dole ne a sanya a cikin wannan keji dokoki a kan diagonal.

Amma sai nan da nan da TAMBAYAR, da yadda za a warware sihiri square? Grade 3 ne mai wuya don amfani da wannan hanya, da kuma mafi yawan zai zama da matsala, yadda za a yi da shi ta wannan hanya, idan wannan ba cell? Don yin abubuwa da dama, dole ne ka yi amfani da kwatanci da kuma gama da wannan sihiri square a saman da shi itace cewa da yawan 2 za su kasance a cikin shi a cikin ƙananan dama cell. Saboda haka, a cikin square mu shigar da biyu a cikin wannan wuri. Wannan yana nufin cewa muna bukatar mu shiga cikin lambobin don haka da cewa tare suka ba da darajar 15.

M lambobin shige a cikin wannan hanya. Wannan shi ne 3 za su kasance a tsakiyar na farko shafi. Amma 4 ba za a iya rubuta a kan wannan manufa, tun da wuri ne riga mai naúrar. A wannan yanayin, da lambar 4 da aka located karkashin 3, da kuma ci gaba. Biyar - a tsakiyar square, 6 - a cikin sama hannun dama kusurwar, 7 - domin 6, 8 - a cikin babba hagu da kuma 9 - a tsakiyar kasa line.

Ku yanzu sani yadda za a warware sihiri square. Demidov gudanar da wani aji 3, amma wannan marubucin ya kadan sauki aiki, amma sanin hanyar su iya warware irin wannan matsaloli. Amma wannan, idan wani m yawan ginshikan. Kuma abin da ya yi, idan muna da, misali, wata square 4 ta 4? Wannan kara a rubutu.

Na biyu Hanyar. Don Square da biyu parity

Square biyu-parity ake kira da daya tare da yawan ginshikan za a iya raba da 2, da kuma 4. Yanzu mun yi la'akari da square 4 ta 4.

Saboda haka, yadda za a warware sihiri square (Grade 3, Demidov, Kozlov, bakin ciki - saita a cikin littafi na lissafi), a lokacin da yawan da ginshikan ne daidai da 4? Yana da matukar sauki. Sauki fiye da a misali kafin.

A farko wuri muka sami sihiri akai amfani da wannan dabara da aka sa a karshe lokaci. A cikin wannan misali, da yawan ne 34. Yanzu dole ka gina lambobin irin wannan cewa Naira Miliyan Xari da a tsaye, a kwance, kuma diagonal ne guda.

Da farko muna bukatar fenti wasu daga cikin sel yi wannan, za ku iya fensir ko a cikin tunanin. Fenti a kan duk kusassari, cewa shi ne, da babba-hagu cell da kuma babba dama, ƙananan hagu da kuma ƙananan dama. Idan square zai zama 8 da 8, sa'an nan ba lallai ba ne su fenti daya akwatin a cikin kusurwa, da kuma hudu, aunawa 2 da 2.

Yanzu kana bukatar ka fenti tsakiyar square, don haka da cewa kusassari da sasanninta damu riga shaded Kwayoyin. A wannan misali, mun samu wani square a tsakiyar wata 2 da 2.

Samun cika. Zai cika daga hagu zuwa dama a cikin tsari a cikin abin da Kwayoyin suna located, kawai shigar da darajar za ta kasance a cikin shaded Kwayoyin. Sai dai itace cewa a saman kwanar hagu 1 da aka shiga a dama - 4. Sa'an nan cika tsakiyar 6, 7, da kuma kara 10 da kuma 11. A ƙananan hagu da kuma dama 13 - 16. Mun yi imani da hanya ciko bayyananne.

Sauran Kwayoyin suna cike a cikin wannan hanya, kawai a cikin saukowa domin. Wannan shi ne saboda karshen an rubũtacce adadi 16, saman wani square rubutu 15. Bugu da ari, 14. Sa'an nan 12, 9 da sauransu, kamar yadda aka nuna a hoton.

Yanzu da ka san na biyu hanyar warware sihiri square. Grade 3 yarda da cewa square na biyu-parity ne sauƙin warware fiye da wasu. To, mun tũba zuwa karshen Hanyar.

The uku hanya. Don Square guda parity

Square guda parity ake kira square na yawan ginshikan da cewa za a iya raba biyu, amma ba hudu. A wannan yanayin, da square na 6 6.

Saboda haka, da muka lissafta da sihiri akai. Daidai ne a 111.

Yanzu muna bukatar Square gani kasu kashi hudu daban-daban square na 3 ta 3. 3 da size da hudu kananan square 3 a daya manyan 6 6. Upper hagu ake kira A, cikin ƙananan dama - B, babba dama - ƙananan hagu da kuma C - D.

Yanzu kana bukatar ka shirya kowane kananan square, ta amfani da asali Hanyar cewa an bayar a wannan labarin. Shi dai haka da cewa square A suke lambobi daga 1 zuwa 9, a cikin V - daga 10 zuwa 18, C - by 19 zuwa 27 da kuma D - daga 28 zuwa 36.

Da zarar ka yanke shawarar duk hudu murabba'ai, aikin zai fara a kan A kuma D. Ya kamata a cikin square A gani ko tare da wani fensir kasu kashi uku Kwayoyin, wato, babba hagu, ƙananan hagu, da kuma cibiyar. Out haka cewa kasaftawa lambobin - shi ne 8, 5 da kuma 4. Haka nan, wajibi ne su gano da kuma Square D (35, 33, 31). Duk da cewa ya kasance ka yi shi ne canza da kasaftawa lambobi na square D to A.

Yanzu da ka san na karshe hanyar da yadda za ka iya warware sihiri square. Grade 3 square guda parity ba Ya son mafi. Wannan ba abin mamaki bane, saboda dukan abin da ya gabatar da mafi wuya.

ƙarshe

Bayan karanta wannan labarin, za ka koyi yadda za a warware sihiri square. Grade 3 (Moreau - marubucin littafi) yayi kama da ayyuka tare da kawai 'yan Kwayoyin cika. Ka yi la'akari da misalin bai sa hankali, kamar yadda ya san duk uku hanyoyin, zaka iya warware duk samarwa manufofin.