坐标平面(笛卡尔平面)
几何画板及绘图内容加载中,请稍等……
所属专题
Coordinate Geometry
坐标平面是数学中一个基本概念,用于描述二维空间中的点和图形。这个范例探索了坐标平面的主要定义,并提供了支架活动和知识和技能评估。通过这个范例,学生可以了解坐标平面的基本概念,包括坐标轴、坐标点和距离公式。范例使用 GeoGebra 构建了一个交互式图形,允许学生探索坐标平面的各种方面。适合初中和高中数学课程,特别是几何和解析几何的教学。
GeoGebra 命令及参数
Shuffle({1, 2, 3}) → allCaseNum, {1, 3, 2}Element(allCaseNum, Mod[countQuestion, Length[allCaseNum]] + 1) → caseNumPolygon({GRMIN + ((-offX), (-offY)), (x(GRMAX), y(GRMIN)) + (offX, (-offY)), GRMAX + (offX, offY), (x(GRMIN), y(GRMAX)) + ((-offX), offY)}) → peepSelectedIndex(ddMenu) → isSequence((k, 0), k, -10, 10, 1) → xGridSequence((0, k), k, 1, 16, 1) → yGridPointIn(peep) → ONBPTcirclePixels(ONBPT, 7 + (7 * pulsing), (xMin, yMin), (xMax, yMax), (PXwidth, PXheight)) → pulsingObjectSegment((x(GRMIN) - offX, 0), (x(GRMAX) + offX, 0)) → fakeXSegment((0, y(GRMIN) - offY), (0, y(GRMAX) + offY)) → fakeYJoin(Sequence[Sequence[(j, k), j, x(GRMIN), x(GRMAX), 1], k, y(GRMIN), y(GRMAX), 1]) → bigGridPolygon({O, (x(GRMAX) + offX, 0), GRMAX + (offX, offY), (0, y(GRMAX) + offY)}) → quad1Mirror(quad1, x = 0) → quad2Mirror(quad2, y = 0) → quad3Mirror(quad3, x = 0) → quad4Segment((x(GRMIN) - offX, 0), (x(GRMAX) + offX, 0)) → fakeX2Segment((0, y(GRMIN) - offY), (0, y(GRMAX) + offY)) → fakeY2Point(bigGrid) → PSegment(P, PX) → projXSegment(P, PY) → projYSegment(O, PX) → ascSegment(O, PY) → ordIf(x(P) > 0 ∧ y(P) > 0, "in quadrant I", x(P) ≟ 0 ∧ y(P) ≠ 0, "on the \(y-\)axis", "on the \(x-\)axis", x(P) > 0 ∧ y(P) < 0, "in quadrant IV", x(P) < 0 ∧ y(P) > 0, "in quadrant II", x(P) < 0 ∧ y(P) < 0, "in quadrant III", x(P) ≟ 0 ∧ y(P) ≟ 0, "at the origin") → textQuadrNumIf(x(P) > 0, "positive", x(P) < 0, "negative", "zero") → textSegnXIf(y(P) > 0, "positive", y(P) < 0, "negative", "zero") → textSegnYIf(x(P) > 0, ">0", x(P) < 0, "<0", "=0") → textVersXIf(y(P) > 0, ">0", y(P) < 0, "<0", "=0") → textVersY
AI 绘图提示语参考
绘制一个带有网格的平面直角坐标系,坐标轴从负十延伸到正十,并标出原点。用半透明色块划分四个象限,第一象限为右上区域,第二象限为左上,第三象限为左下,第四象限为右下。在网格上随机放置一个点,从该点分别向横轴和纵轴作垂线段,并标出垂足。同时显示该点的横纵坐标符号(正、负或零)以及它所在的象限或轴上的位置说明。坐标轴两端略微延伸,网格线覆盖整个绘图区域。
以上提示语为根据原始绘图命令整理而来,仅供参考。