Isikhungo samandla adonsela phansi

1. Incazelo ye maphakathi namandla adonsela phansi

Umzimba oqinile wakhiwe yizinhlayiya eziningi; ngakho-ke, amandla adonsela phansi asebenza kuzo zonke lezi zinhlayiya. Ngamanye amazwi, inhlayiya ngayinye inesisindo sayo. Isikhungo samandla adonsela phansi sento yiphuzu entweni lapho isisindo sazo zonke izingxenye zento sibhekwa njengesiphakathi kuleyo ndawo.

Isikhungo samandla adonsela phansi 1

Uma into ifana (ubungako bengxenye ngayinye yento bufana noma into yakhiwe ngezinto ezifanayo) futhi ukuma kwento kuyafana (isibonelo isikwele, unxande, indilinga)

bese isisindo sento sihambisana nendawo ephakathi kwesisindo sento, etholakala enkabeni yento. Kuma-triangles, indawo ephakathi kwesisindo itholakala ku-1/3 h (h = ukuphakama kwe-triangle).

Isikhungo samandla adonsela phansi 2

2. Isibalo sesikhungo samandla adonsela phansi

Uma isimo sento silingana futhi into ifana, khona-ke isikhungo samandla adonsela phansi sento sihambisana nesikhungo sesisindo sento,

lapho isikhungo samandla adonsela phansi kanye nesikhungo sobunzima kutholakala phakathi nendawo yento. Ngokuphambene nalokho, uma into ifana kodwa ingalingani, khona-ke indawo yesisindo sento inganqunywa kusetshenziswa ifomula elandelayo.

Izixhumanisi zesisindo sento ku-x-axis:

Isikhungo samandla adonsela phansi 3a

Izixhumanisi zesisindo sento ku-y-axis:

Isikhungo samandla adonsela phansi 3b

x = indawo ephakathi nento ku-x-axis, y = indawo ephakathi nento ku-y-axis, A = indawo. Uma into ingama-dimension amathathu, ngaphandle kokunquma izixhumanisi zesisindo sento kuma-x kanye nama-y axes, inquma futhi izixhumanisi zesisindo sento ku-z-axis. Indawo (A) ithathelwa indawo yivolumu (V).

Inkinga yesampula 1.

Nquma izixhumanisi zesikhungo sokudonsa phansi sento efanayo esithombeni ohlangothini!

Isixazululo:

Hlukanisa into ibe izingxenye ezintathu.

A 1 = (10-0)(10-0) = (10)(10) = 100

A2 = (20-10)(30-0) = (10)(30) = 300Isikhungo samandla adonsela phansi 4

A 3 = (30-20)(10-0) = (10)(10) = 100

x 1 = 1⁄2 (10-0) = 1⁄2 (10) = 5

x 2 = 1⁄2 (20-10) + 10 = 1⁄2 (10) + 10 = 5 + 10 = 15

x 3 = 1⁄2 (30-20) + 20 = 1⁄2 (10) + 20 = 5 + 20 = 25

y 1 = 1⁄2 (10-0) = 1⁄2 (10) = 5

y 2 = 1⁄2 (30-0) = 1⁄2 (30) = 15

y 3 = 1⁄2 (10-0) = 1⁄2 (10) = 5

Izixhumanisi zesisindo sento ku-x-axis:

Isikhungo samandla adonsela phansi 5

Izixhumanisi zesisindo sento ku-y-axis:

Isikhungo samandla adonsela phansi 6

Izixhumanisi zesisindo sento yilezi (15; 11)

Inkinga yesampula 2.

Nquma izixhumanisi zesisindo sento esithombeni!Isikhungo samandla adonsela phansi 7

Isixazululo:

Hlukanisa into ibe izingxenye ezimbili, indawo 1 = isikwele, indawo 2 = unxantathu.

A 1 = (5-1)(3-0) = (4)(3) = 12

A 2 = 1⁄2 (6-0)(9-3) = 1⁄2 (6)(6) = (3)(6) = 18

x 1 = 1⁄2 (5-1) + 1 = 1⁄2 (4) + 1 = 2 + 1 = 3

x 2 = 1⁄2 (6-0) = 1⁄2 (6) = 3

y 1 = 1⁄2 (3-0) = 1⁄2 (3) = 1.5

y 2 = 1/3(9-3) + 3 = 1/3(6) + 3 = 2 + 3 = 5

Izixhumanisi zesisindo sento ku-x-axis:

Isikhungo samandla adonsela phansi 8

Izixhumanisi zesisindo sento ku-y-axis:

Isikhungo samandla adonsela phansi 9

I-coordinate yesisindo sento ingu-(3; 3.6)

Shiya amazwana