Muenzaniso weMibvunzo yeKukurukurirana yeKufungisisa kweMasvomhu
Masvomhu chidzidzo chakakosha muhupenyu hwezuva nezuva. Imwe nyaya inowanzo dzidziswa muzvikoro ndeyekufungisisa. Kufungisisa, mumasvomhu, kushanduka kwejometri kunoratidza poindi yega yega yemufananidzo pamutsetse wakapihwa, zvichikonzera mufananidzo wakaenzana. Muchinyorwa chino, tichakurukura mienzaniso yematambudziko ekufungisisa kwemasvomhu nemhinduro dzawo.
Tsanangudzo yeKufungisisa
Tisati tapinda mumibvunzo, ngatitangei tanzwisisa tsananguro yekufungisisa. Kufungisisa kushandurwa kunoisa poindi yega yega pachinhu kune imwe poindi yakaenzana kubva pamutsetse wekufungisisa uye kune rimwe divi rechinhu chekutanga. Mutsetse uyu wekufungisisa unowanzonzi axis yekufungisisa.
Mamwe maaxes ekuratidzira anowanzoshandiswa:
1. X-axis (y = 0)
2. Y-axis (x = 0)
3. Mutsetse y = x
4. Mutsetse y = -x
Nekunzwisisa uku, tinogona kuenderera mberi nemibvunzo yemuenzaniso nehurukuro yavo.
Mibvunzo yemuenzaniso nekukurukurirana
Mubvunzo 1: Kufungisisa nezve y-axis
Mubvunzo: Ratidza poindi A(3, 5) pamusoro pey-axis.
Kukurukurirana:
Kuratidza poindi pamusoro pe y-axis kunoshandura x-coordinate kuita negative, nepo y-value ichiramba iripo. Saka, kuratidzwa kwepoindi A(3, 5) ndekwekuti:
– Kurongeka x: 3 shanduko kuenda ku -3
- Yakagadzirirwa y coordinate: 5
Saka, poindi yekufungisisa ndiA'(-3, 5).
Mubvunzo 2: Kufungisisa nezve x-axis
Mubvunzo: Ratidza poindi B(-4, -6) pamusoro pe x-axis.
Kukurukurirana:
Kuratidza poindi pamusoro pe x-axis kunochinja y-coordinate kuita negative, nepo x-value ichiramba iripo. Saka, kuratidzwa kwepoindi B(-4, -6) ndekwekuti:
- Yakagadzirirwa x coordinate: -4
– Kurongeka y: -6 shanduko kuenda ku6
Saka, poindi yekufungisisa ndiB'(-4, 6).
Mubvunzo 3: Kufungisisa pamutsetse y = x
Mubvunzo: Ratidza poindi C(2, 7) pamusoro pemutsetse y = x.
Kukurukurirana:
Kuratidzwa kwepoindi iri pamusoro pemutsetse y = x kunoshandura macoordinates (x, y) kuita (y, x). Saka, kuratidzwa kwepoindi C(2, 7) ndekwekuti:
- Kurongeka x: 2 shanduko ku7
- Coordinate y: shanduko 7 kuenda ku2
Saka, poindi yekufungisisa ndiC'(7, 2).
Mubvunzo 4: Kufungisisa nezvemutsara y = -x
Mubvunzo: Ratidza pfungwa D(-3, 4) pamusoro pemutsetse y = -x.
Kukurukurirana:
Kuratidzwa kwepoindi iri pamusoro pemutsetse y = -x kunoshandura macoordinates (x, y) kuita (-y, -x). Saka, kuratidzwa kwepoindi D(-3, 4) ndekwekuti:
– Kurongeka x: -3 shanduko kuenda ku -4
- Coordinate y: shanduko 4 kuenda ku3
Saka, poindi yekufungisisa ndiD'(-4, -3).
Mubvunzo 5: Kuratidzwa kwetriangle pamusoro pey-axis
Mubvunzo: Ratidza mativi matatu ane mapoinzi P(3, 2), Q(5, -1), uye R(4, 4) pamusoro pey-axis.
Kukurukurirana:
Kuratidza mativi matatu ari pa y-axis ingori nyaya yekuratidza mativi matatu acho ega ega.
Ngatifungei nezvepfungwa imwe neimwe:
– Poindi P(3, 2) inova P'(-3, 2)
– Poindi Q(5, -1) inova Q'(-5, -1)
– Poindi R(4, 4) inova R'(-4, 4)
Saka, mutsetse wekuratidzira unobuda une mapoinzi P'(-3, 2), Q'(-5, -1), uye R'(-4, 4).
Mubvunzo 6: Kuratidzwa kwerectangle yakatenderedza x-axis
Mubvunzo: Ratidza rectangle ine mapoinzi S(1, 3), T(1, 6), U(4, 6), uye V(4, 3) pamusoro pe x-axis.
Kukurukurirana:
Kuratidza rectangle yakatenderedza x-axis ingori nyaya yekuratidza mapoinzi mana acho ega ega.
Ngatifungei nezvepfungwa imwe neimwe:
– Poindi S(1, 3) inova S'(1, -3)
– Poindi T(1, 6) inova T'(1, -6)
– Poindi U(4, 6) inova U'(4, -6)
– Poindi V(4, 3) inova V'(4, -3)
Saka, rectangle inobuda ine mapoinzi S'(1, -3), T'(1, -6), U'(4, -6), uye V'(4, -3).
Mubvunzo 7: Kufungisisa pamutsetse y = x mubasa remutsara
Mubvunzo: Ratidza basa f(x) = 2x + 3 pamutsetse y = x.
Kukurukurirana:
Kuratidzwa kwebasa rakatsetseka pamutsetse we y = x kunoda kushandurwa kubva pachimiro che y = f(x) kuenda ku x = f(y). Zvadaro tinogadzirisa kuti y.
Semuenzaniso, y = 2x + 3. Kufungisisa nezvemutsara y = x kunova:
– x = 2y + 3
Kugadzirisa y:
– x – 3 = makore maviri
– y = (x – 3) / 2
Saka, shanduko iyi inogadzira basa rekuratidzira y = (x - 3) / 2.
Mubvunzo 8: Kufungisisa nezvemutsara y = -x mubasa remutsara
Mubvunzo: Ratidza basa g(x) = -x + 4 pamutsetse y = -x.
Kukurukurirana:
Kuti tifunge nezvemutsara we y = -x, tinoda shanduko kubva pa y = g(x) kuenda pa x = -g(y). Zvadaro:
Semuenzaniso, y = -x + 4. Kufungisisa nezvemutsara y = -x kunova:
– x = -(-y + 4)
– x = y – 4
Kugadzirisa y:
– y = x + 4
Saka, shanduko iyi inogadzira basa rekuratidzira y = x + 4.
Mhedziso
Kufungisisa mumasvomhu chishandiso chine simba chekunzwisisa kuenzanisa uye kushanduka kwejometri. Nekunzwisisa mashandiro anoita kufungisisa pamusoro pemaaxes nemitsara yakasiyana-siyana, tinogona kugadzirisa matambudziko akawanda zviri nyore. Chinyorwa chino chapa mienzaniso yakawanda yezvinetso nehurukuro pamusoro pekufungisisa. Kudzidzira nguva dzose uye kunzwisisa misimboti yekutanga yekufungisisa kuchabatsira zvikuru mukunzwisisa pfungwa iyi.
Nekunzwisisa nekunzwisisa pfungwa yekufungisisa mumasvomhu, tinogona kunzwisisa zviri nyore mapatani, shanduko, uye mashandisirwo ejometri muzvikamu zvakasiyana-siyana zvehupenyu hwezuva nezuva.
