Matika - 9. ročník - 1. řádný termín / Roman Samec

Roman Samec

Workspace

Public

Edited

Apr 12

1 fork

mdPlus`${questionsA25[9].content()}`

smartDrawing(300, (rac, shared) => {

const P1 = rac.Point(282, 30);

const P2 = rac.Point(322, 268);

const Q1 = rac.Point(315, 17);

const Q2 = rac.Point(207, 274);

const B = rac.Point(435, 190);

const p = P1.rayToPoint(P2);

const q = Q1.rayToPoint(Q2);

const C = p.pointAtIntersection(q);

const calibration = rac

.Composite([

markPoint(rac, B, "B", rac.Text.Format.tc),

q.text("q").upright(),

p.text("p").upright(),

markPoint(rac, C, "C", rac.Text.Format.cl)

])

.draw();

// const C = p.pointAtIntersection(q);

// const k = C.arc(50, 6/10,1);

// const S1 = k.intersectionChordWithRay(p).startPoint();

// const S2 = k.intersectionChordWithRay(q).startPoint();

// const S = S1.pointAtBisector(S2);

// const o = C.rayToPoint(S)

const BA = B.rayToProjectionInRay(p);

const S = BA.pointAtIntersection(q);

const A = BA.pointAtDistance(S.distanceToPoint(B) * 2);

// const M = MN.pointAtIntersection(p);

// const N = MN.pointAtIntersection(q);

// const NK = N.rayToProjectionInRay(MN);

// const K = NK.pointAtIntersection(p);

// const ML = M.rayToProjectionInRay(MN);

// const L = ML.pointAtIntersection(q);

const steps = rac

.Composite([

BA,

markPoint(rac, S, "S", rac.Text.Format.tc),

markPoint(rac, A, "A", rac.Text.Format.tc),

polygon(rac, [A, B, C])

])

.draw();

})

smartDrawing(300, (rac, shared) => {

const Q2 = rac.Point(353,279)

const Q1 = rac.Point(98,21)

const P1 = rac.Point(452,106)

const P2 = rac.Point(53,209)

const R = rac.Point(207,84)

const p = P1.rayToPoint(P2)

const q = Q1.rayToPoint(Q2)

const calibration = rac

.Composite([

markPoint(rac, R, "R", rac.Text.Format.bc),

q.text("q"),

p.text("p").upright()

])

.draw();

const C = p.pointAtIntersection(q);

const k = C.arc(50, 6/10,1);

const S1 = k.intersectionChordWithRay(p).startPoint();

const S2 = k.intersectionChordWithRay(q).startPoint();

const S = S1.pointAtBisector(S2);

const o = C.rayToPoint(S)

const MN = R.rayToProjectionInRay(o).translateToDistance(-100);

const M = MN.pointAtIntersection(p);

const N = MN.pointAtIntersection(q);

const NK = N.rayToProjectionInRay(MN);

const K = NK.pointAtIntersection(p);

const ML = M.rayToProjectionInRay(MN);

const L = ML.pointAtIntersection(q);

const steps = rac.Composite([

markPoint(rac, C, "C", rac.Text.Format.tr),

markPoint(rac, S1, "S1", rac.Text.Format.tr),

markPoint(rac, S2, "S2", rac.Text.Format.tr),

o.pointAtCanvasEdge().text("o"),

MN,

markPoint(rac, M, "M", rac.Text.Format.tr),

markPoint(rac, N, "N", rac.Text.Format.tr),

NK,

markPoint(rac, K, "K", rac.Text.Format.tr),

ML,

markPoint(rac, L, "L", rac.Text.Format.tr),

polygon(rac, [K,L,M,N])

]).draw();

})

smartDrawing(300, (rac, shared) => {

// Colors from the shared object

let white = shared.palette.white;

let black = shared.palette.black;

//let dashedStyle = new rac.StyleContainer(rac, [white.stroke(), black.fill()])

const C = rac.Point(199, 86);

const S = rac.Point(292, 184);

const CS = C.segmentToPoint(S).draw(white);

const p = CS.perpendicular().draw();

// const radius = S.distanceToPoint(A);

// const k = S.arc(radius, 5 / 8, 5 / 8);

const calibration = rac

.Composite([

markPoint(rac, S, "S", rac.Text.Format.tc),

//markPoint(rac, E, "E", rac.Text.Format.bl),

markPoint(rac, C, "C", rac.Text.Format.bc)

// k,

// k.text("k")

])

.draw();

// const rAS = A.rayToPoint(S);

// const C = k.intersectionChordEndWithRay(rAS);

// const rCE = C.rayToPoint(E);

// const B = rCE.pointAtDistance(C.distanceToPoint(E) * 2);

// const rBA = B.rayToPoint(A);

// const rAD = A.ray(rBA.perpendicular().angle);

// const D = k.intersectionChordEndWithRay(rAD);

// const steps = rac.Composite([

// rAS,

// markPoint(rac, C, "C", rac.Text.Format.bl),

// rCE,

// markPoint(rac, B, "B", rac.Text.Format.bl),

// rBA,

// rAD,

// markPoint(rac, D, "D", rac.Text.Format.br),

// polygon(rac, [A, B, C, D])

// ]);

})

point.map((d,i)=> `const p${i+1} = rac.Point(${d[0]},${Math.round(d[1])})`).join("\n")

viewof point = imagePointPicker({imageUrl:'https://www.eforms.cz/math/4/M9A-2025/image-4.png', height: 300})

questionsA = getQuestions("M9A-2024");

questionsA25= getQuestions("M9A-2025");

async function getQuestions(code){

const url = `https://www.eforms.cz/math/4/${code}`;

const response = await fetch(`${url}/index.md`);

const quiz = await response.text();

return parseQuestions(normalizeImageUrlsToAbsoluteUrls(quiz,[url]))

}

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