Bis Band 5

2026-04-04 22:12:19 +02:00
parent f97399615b
commit 3e9f098161
12 changed files with 2933 additions and 195 deletions
@@ -0,0 +1,164 @@
+#import "@preview/fletcher:0.5.8" as fletcher: diagram, node, edge
+#import "@preview/cetz:0.4.2" //Grafiken
+#import "@preview/cetz-plot:0.1.3": plot
+
+#let bent-edge(from, to, ..args) = {
+  let midpoint = (from, 50%, to)
+  let vertices = (
+    from,
+    (from, "|-", midpoint),
+    (midpoint, "-|", to),
+    to,
+  )
+  edge(..vertices, "-|", ..args)
+}
+
+
+#let b3_0 = diagram(
+  node-stroke: luma(80%),
+  edge-corner-radius: none,
+  spacing: (10pt, 20pt),
+
+  // Nodes
+  node((1.5,0), [1.#h(3mm)2.#h(3mm)3.1.], name: <a>),
+  node((0.5,1), [4.1.-4.3.], name: <b>),
+  node((2.5,1), [3.2.-3.3.], name: <c>),
+
+  node((0,2), [4.4.-4.5.], name: <d>),
+  node((1,2), [4.6.], name: <e>),
+
+  node((2.501,2), [5.1.-5.5.], name: <f>),
+  node((2,3), [5.6.], name: <g>),
+  node((3,3), [5.7.], name: <h>),
+  node((4,3), [5.8.], name: <i>),
+  node((5,3), [5.9.], name: <j>),
+  node((6,3), [5.10.], name: <k>),
+  node((2.001,4), [#h(1mm)6.#h(1mm) ], name: <m>),
+
+  // Edges
+  bent-edge(<a>, <b>),
+  bent-edge(<a>, <c>),
+  bent-edge(<b>, <d>),
+  bent-edge(<b>, <e>),
+  bent-edge(<c>, <f>),
+  bent-edge(<c>, <f>),
+  bent-edge(<f>, <g>),
+  bent-edge(<f>, <h>),
+  bent-edge(<f>, <i>),
+  bent-edge(<f>, <j>),
+  bent-edge(<f>, <k>),
+  bent-edge(<g>, <m>),
+)
+
+
+#let b2_4 = cetz.canvas({
+  import cetz.draw: *
+  //import cetz-plot: *
+  
+  let f = x => (0.01 * calc.pow(x, 3) - 0.2 * calc.pow(x, 2) + 0.8 * x + 3) + 5
+  let g = x => -(0.01 * calc.pow(x, 3) - 0.2 * calc.pow(x, 2) + 0.8 * x + 3) + 5
+
+  plot.plot(
+    size: (6, 7),
+    name: "plot",
+    axis-style: "school-book",
+    x-tick-step: none,
+    y-tick-step: none,
+    x-label: $x$,
+    y-label: $y$,
+    x-ticks: ((3, $x_1$), (12, $x_2$), (8, $x$)),
+
+    {
+      plot.add(domain: (2, 13), f, style: (stroke: red), samples: 300)
+      plot.add(domain: (2, 13), g, style: (stroke: blue), samples: 300)
+
+      plot.add-fill-between(  
+        domain: (3, 12),
+        g,
+        f,
+        style: (
+          stroke: none,
+          fill: tiling(size: (3pt, 3pt), square(stroke: gray)),
+        ),)
+
+
+
+      // Hilfslinie damit Koordinatensystem nicht verrutscht
+      plot.add(((0, 0), (0, 0.1)), style: (stroke: none))
+
+      plot.add-anchor("G1", (3, g(3)))
+      plot.add-anchor("F1", (3, f(3)))
+      plot.add-anchor("G1", (12, g(12)))
+      plot.add-anchor("G1", (12, g(12)))
+
+      plot.add(((3, 0), (3, f(3))), style: (stroke: (dash: "dashed", paint: gray, thickness: 1pt)))
+      plot.add(((12, 0), (12, f(12))), style: (stroke: (dash: "dashed", paint: gray, thickness: 1pt)))
+    },
+  )
+})
+
+
+#let EC_func(x) = {
+  let y = x*x*x - 4*x + 6
+  if y < 0 {
+    return 0
+  }
+  return calc.sqrt(y)
+}
+
+
+#let EC_drawing = cetz.canvas({
+  plot.plot(
+  size: (10, 10), 
+  x-tick-step: 5, 
+  y-tick-step: 20, 
+  x-min: -5, 
+  max: 10, 
+  x-grid: true,
+  y-grid: true,
+  
+  {
+    plot.add(domain: (-5, 10), EC_func, samples: 300)
+    plot.add(domain: (-5, 10), t => (t, -EC_func(t)),samples: 300)
+  })
+})
+
+#let EC_func2(x) = {
+  let y = (x - 3)*(x - 3)*(x - 3) - 4*(x - 3) + 12
+  if y < 0 {
+    return 0
+  }
+  return calc.sqrt(y)
+}
+
+
+#let EC_func3(x) = {
+  let y = -((x - 3)*(x - 3)*(x - 3) - 4*(x - 3)) + 4
+  if y < 0 {
+    return 0
+  }
+  return calc.sqrt(y)
+}
+
+
+#let EC_drawing2 = cetz.canvas({
+  plot.plot(
+  name: "plot",
+   
+  axis-style: "school-book", 
+  size: (10, 10), 
+  x-tick-step: none, 
+  y-tick-step: 20, 
+  x-min: 0, 
+  x-max: 7, 
+  x-grid: true,
+  y-grid: true,
+  
+  {
+    plot.add(((0, 0), (0, 0.1)), style: (stroke: none)) 
+
+    plot.add(domain: (1, 6), EC_func2, samples: 300)
+    
+    plot.add(domain: (1, 6), EC_func3,samples: 300)
+  })
+})