Browse Source

Weitere aufgaben und Prüfung

phi 2 months ago
parent
commit
daf08ef187

+ 2
- 0
08_28_6MT22o_pr1_Logarithmen/Teil1_OhneTR/Pruefung.tex View File

@@ -33,6 +33,8 @@ keine weiteren Hilfsmittel; \textbf{Kein} Taschenrechner.}
33 33
 
34 34
 \input{alg/logarithmen/allgemeine/LogarithmenGesetze_v1.tex}
35 35
 
36
+\input{alg/logarithmen/zehner/ZehnerlogarithmenGleichungen_v2}
37
+
36 38
 \section{Exponentialgleichungen}
37 39
 
38 40
 \input{gleichgn/logarithmisch/BasisZweierpotenz_v1}

+ 6
- 2
08_28_6MT22o_pr1_Logarithmen/Teil2_mitTR/Pruefung.tex View File

@@ -27,10 +27,14 @@ Zusammenfassung (max 8 A4 Seiten) und Taschenrechner.}
27 27
 
28 28
 \input{alg/logarithmen/zehner/Richterskala_v1}
29 29
 
30
-\section{Exponential- und logarithmische Gleichungen}
31
-\input{alg/logarithmen/zehner/ZehnerlogarithmenGleichungen_v2}
30
+\section{Gleichungen mit Potenzen}
31
+
32
+\input{gleichgn/potenzgleichungen/GeradeUngerade_v2}
33
+\input{gleichgn/potenzgleichungen/TextaufgabePotenzen_TR_v1}
32 34
 
33 35
 \section{was bisher geschah: Stereometrie}
36
+\input{geom/stereometrie/prismen/toblerone_v1}
37
+
34 38
 
35 39
 \section{Bonusaufgabe}
36 40
 \input{alg/logarithmen/allgemeine/GrosseZahlen_v1}

+ 2
- 0
09_09_6MT22j_pr1_Vekg1/Teil2_mitTR/Pruefung.tex View File

@@ -24,6 +24,8 @@ Zusammenfassung (max 8 A4 Seiten) und Taschenrechner.}
24 24
 
25 25
 \section{Vektorgeometrie}
26 26
 %%\input{geom/vektorgeometrie/vecg1/MoeveJonathan_v1}
27
+
28
+\input{geom/vektorgeometrie/vecg1/Cosinussatz_v1}
27 29
 \input{geom/vektorgeometrie/vecg1/Schwimmer_v1}
28 30
 \input{geom/vektorgeometrie/vecg1/Schwimmer_v2}
29 31
 

+ 5
- 1
09_09_6ZVG24r_pr1_AA1/Pruefung.tex View File

@@ -2,7 +2,7 @@
2 2
 %% Semesterprüfung BMS
3 3
 %%
4 4
 
5
-\input{bbwLayoutPruefung}
5
+\input{bmsLayoutPruefung}
6 6
 
7 7
 \renewcommand{\pruefungsThema}{Algebra 1}
8 8
 \renewcommand{\klasse}{6ZVG24r}
@@ -20,6 +20,10 @@ der BBW + 2 A4-Seiten Zusammenfassung}
20 20
 \pruefungsIntro{}
21 21
 % Kürzen
22 22
 %% Erster Titel
23
+
24
+\section{Voraussetzungen}
25
+\input{alg/grundlagen/voraussetzungen/Wurzelterm_v1}
26
+
23 27
 \section{Algebra, Bruchterme}
24 28
 
25 29
 \input{alg/grundlagen/bruchterme/kuerzen/Bruchrechnen_Kuerzen_v1_np}

+ 11
- 0
aufgaben/alg/grundlagen/voraussetzungen/Wurzelterm_v1.tex View File

@@ -0,0 +1,11 @@
1
+\begin{frage}[2]%% Anzahl Punkte für diese Aufgabe
2
+
3
+  Vereinfachen Sie den folgenden Wurzelterm so weit wie möglich:
4
+
5
+
6
+
7
+  
8
+  $$\sqrt{(6x)^2 - (4x)^2 + 5x} = \LoesungsRaumLen{40mm}{5x}$$
9
+
10
+  \platzFuerBerechnungen{6}%%
11
+\end{frage} 

+ 18
- 0
aufgaben/geom/vektorgeometrie/vecg1/Cosinussatz_v1.tex View File

@@ -0,0 +1,18 @@
1
+\begin{frage}[2]%% Anzahl Punkte für diese Aufgabe
2
+
3
+  \noTRAINER{\bbwCenterGraphic{4cm}{geom/vektorgeometrie/vecg1/img/Cosinussatz.png}}
4
+
5
+  Gegeben sind die Vektoren $\vec{a}$ und $\vec{b}$ und der Winkel $\varphi$:
6
+
7
+  $$\left| \vec{a} \right| = 7.3$$
8
+
9
+  $$| \vec{b}| = 3.6$$
10
+
11
+  $$\varphi=113\degre$$
12
+
13
+  Berechnen Sie den Betrag von  $\vec{c}$ auf mind. drei signifikante Stellen:
14
+
15
+  $$\left| \vec{c} \right| = \LoesungsRaumLen{30mm}{9.31594}$$
16
+\platzFuerBerechnungen{6}%%
17
+\TRAINER{}%%
18
+\end{frage} 

BIN
aufgaben/geom/vektorgeometrie/vecg1/img/Cosinussatz.png View File


+ 257
- 0
aufgaben/geom/vektorgeometrie/vecg1/img/img_src/Cosinussatz.svg View File

@@ -0,0 +1,257 @@
1
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
2
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
3
+
4
+<svg
5
+   width="210mm"
6
+   height="297mm"
7
+   viewBox="0 0 210 297"
8
+   version="1.1"
9
+   id="svg5"
10
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
11
+   sodipodi:docname="Cosinussatz.svg"
12
+   inkscape:export-filename="../Cosinussatz.png"
13
+   inkscape:export-xdpi="96"
14
+   inkscape:export-ydpi="96"
15
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
16
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
17
+   xmlns="http://www.w3.org/2000/svg"
18
+   xmlns:svg="http://www.w3.org/2000/svg">
19
+  <sodipodi:namedview
20
+     id="namedview7"
21
+     pagecolor="#ffffff"
22
+     bordercolor="#000000"
23
+     borderopacity="0.25"
24
+     inkscape:showpageshadow="2"
25
+     inkscape:pageopacity="0.0"
26
+     inkscape:pagecheckerboard="0"
27
+     inkscape:deskcolor="#d1d1d1"
28
+     inkscape:document-units="mm"
29
+     showgrid="false"
30
+     inkscape:zoom="3.659624"
31
+     inkscape:cx="410.42468"
32
+     inkscape:cy="435.83712"
33
+     inkscape:window-width="3840"
34
+     inkscape:window-height="2131"
35
+     inkscape:window-x="3840"
36
+     inkscape:window-y="0"
37
+     inkscape:window-maximized="1"
38
+     inkscape:current-layer="layer1" />
39
+  <defs
40
+     id="defs2">
41
+    <marker
42
+       style="overflow:visible"
43
+       id="marker2608"
44
+       refX="0"
45
+       refY="0"
46
+       orient="auto-start-reverse"
47
+       inkscape:stockid="Arrow2"
48
+       markerWidth="7.6999998"
49
+       markerHeight="5.5999999"
50
+       viewBox="0 0 7.7 5.6"
51
+       inkscape:isstock="true"
52
+       inkscape:collect="always"
53
+       preserveAspectRatio="xMidYMid">
54
+      <path
55
+         transform="scale(0.7)"
56
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
57
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
58
+         id="path2606" />
59
+    </marker>
60
+    <marker
61
+       style="overflow:visible"
62
+       id="marker2498"
63
+       refX="0"
64
+       refY="0"
65
+       orient="auto-start-reverse"
66
+       inkscape:stockid="Arrow2"
67
+       markerWidth="7.6999998"
68
+       markerHeight="5.5999999"
69
+       viewBox="0 0 7.7 5.6"
70
+       inkscape:isstock="true"
71
+       inkscape:collect="always"
72
+       preserveAspectRatio="xMidYMid">
73
+      <path
74
+         transform="scale(0.7)"
75
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
76
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
77
+         id="path2496" />
78
+    </marker>
79
+    <marker
80
+       style="overflow:visible"
81
+       id="Arrow2"
82
+       refX="0"
83
+       refY="0"
84
+       orient="auto-start-reverse"
85
+       inkscape:stockid="Arrow2"
86
+       markerWidth="7.6999998"
87
+       markerHeight="5.5999999"
88
+       viewBox="0 0 7.7 5.6"
89
+       inkscape:isstock="true"
90
+       inkscape:collect="always"
91
+       preserveAspectRatio="xMidYMid">
92
+      <path
93
+         transform="scale(0.7)"
94
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
95
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
96
+         id="arrow2L" />
97
+    </marker>
98
+    <marker
99
+       style="overflow:visible"
100
+       id="Arrow1"
101
+       refX="0"
102
+       refY="0"
103
+       orient="auto-start-reverse"
104
+       inkscape:stockid="Arrow1"
105
+       markerWidth="4.0606599"
106
+       markerHeight="6.7071061"
107
+       viewBox="0 0 4.0606602 6.7071068"
108
+       inkscape:isstock="true"
109
+       inkscape:collect="always"
110
+       preserveAspectRatio="xMidYMid">
111
+      <path
112
+         style="fill:none;stroke:context-stroke;stroke-width:1;stroke-linecap:butt"
113
+         d="M 3,-3 0,0 3,3"
114
+         id="path5057"
115
+         transform="rotate(180,0.125,0)"
116
+         sodipodi:nodetypes="ccc" />
117
+    </marker>
118
+    <marker
119
+       style="overflow:visible"
120
+       id="Arrow1-3"
121
+       refX="0"
122
+       refY="0"
123
+       orient="auto-start-reverse"
124
+       inkscape:stockid="Arrow1"
125
+       markerWidth="4.0606599"
126
+       markerHeight="6.7071061"
127
+       viewBox="0 0 4.0606602 6.7071068"
128
+       inkscape:isstock="true"
129
+       inkscape:collect="always"
130
+       preserveAspectRatio="xMidYMid">
131
+      <path
132
+         style="fill:none;stroke:context-stroke;stroke-width:1;stroke-linecap:butt"
133
+         d="M 3,-3 0,0 3,3"
134
+         id="path5057-6"
135
+         transform="rotate(180,0.125,0)"
136
+         sodipodi:nodetypes="ccc" />
137
+    </marker>
138
+    <marker
139
+       style="overflow:visible"
140
+       id="Arrow1-35"
141
+       refX="0"
142
+       refY="0"
143
+       orient="auto-start-reverse"
144
+       inkscape:stockid="Arrow1"
145
+       markerWidth="4.0606599"
146
+       markerHeight="6.7071061"
147
+       viewBox="0 0 4.0606602 6.7071068"
148
+       inkscape:isstock="true"
149
+       inkscape:collect="always"
150
+       preserveAspectRatio="xMidYMid">
151
+      <path
152
+         style="fill:none;stroke:context-stroke;stroke-width:1;stroke-linecap:butt"
153
+         d="M 3,-3 0,0 3,3"
154
+         id="path5057-62"
155
+         transform="rotate(180,0.125,0)"
156
+         sodipodi:nodetypes="ccc" />
157
+    </marker>
158
+  </defs>
159
+  <g
160
+     inkscape:label="Layer 1"
161
+     inkscape:groupmode="layer"
162
+     id="layer1">
163
+    <path
164
+       style="fill:#000000;stroke:#000000;stroke-width:1.265;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#marker2608)"
165
+       d="M 57.674845,159.02189 121.59128,117.14157"
166
+       id="path225"
167
+       sodipodi:nodetypes="cc" />
168
+    <path
169
+       style="fill:#000000;stroke:#000000;stroke-width:1.065;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
170
+       d="M 128.36798,112.82181 103.83105,64.94623"
171
+       id="path1383"
172
+       sodipodi:nodetypes="cc" />
173
+    <path
174
+       style="fill:none;stroke:#000000;stroke-width:0.765;stroke-dasharray:none;stroke-opacity:1"
175
+       id="path1509"
176
+       sodipodi:type="arc"
177
+       sodipodi:cx="128.20398"
178
+       sodipodi:cy="112.75066"
179
+       sodipodi:rx="18.747553"
180
+       sodipodi:ry="24.324987"
181
+       sodipodi:start="2.6689355"
182
+       sodipodi:end="4.1285426"
183
+       sodipodi:arc-type="slice"
184
+       d="m 111.51188,123.8247 a 18.747553,24.324987 0 0 1 6.35775,-31.369554 l 10.33435,20.295514 z" />
185
+    <path
186
+       style="fill:none;stroke:#000000;stroke-width:1.165;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#marker2498)"
187
+       d="M 58.127944,158.89489 97.840632,65.68697"
188
+       id="path1558"
189
+       sodipodi:nodetypes="cc" />
190
+    <g
191
+       id="g2322"
192
+       transform="translate(77.031283,65.664155)">
193
+      <path
194
+         style="fill:none;stroke:#000000;stroke-width:1.165;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow1)"
195
+         d="m 26.80835,67.617538 c 2.995787,0 5.991575,0 8.987362,0"
196
+         id="path2023" />
197
+      <text
198
+         xml:space="preserve"
199
+         style="font-size:3.175px;white-space:pre;inline-size:4.42075;display:inline;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.165;stroke-dasharray:none;stroke-opacity:1"
200
+         x="26.874292"
201
+         y="75.993965"
202
+         id="text2097"
203
+         transform="matrix(6.3391416,0,0,6.3391416,-144.86454,-398.07779)"><tspan
204
+           x="26.874292"
205
+           y="75.993965"
206
+           id="tspan2822">a</tspan></text>
207
+    </g>
208
+    <g
209
+       id="g2333"
210
+       transform="translate(77.843823,-6.4938161)">
211
+      <path
212
+         style="fill:none;stroke:#000000;stroke-width:1.165;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow1-3)"
213
+         d="m 39.675659,80.589768 c 8.987362,0 8.987362,0 8.987362,0"
214
+         id="path2023-7" />
215
+      <text
216
+         xml:space="preserve"
217
+         style="font-size:3.175px;white-space:pre;inline-size:4.42075;display:inline;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.165;stroke-dasharray:none;stroke-opacity:1"
218
+         x="26.874292"
219
+         y="75.993965"
220
+         id="text2097-5"
221
+         transform="matrix(6.3391416,0,0,6.3391416,-131.99723,-385.10556)"><tspan
222
+           x="26.874292"
223
+           y="75.993965"
224
+           id="tspan2824">b</tspan></text>
225
+    </g>
226
+    <g
227
+       id="g2364"
228
+       transform="translate(50.142727,-14.628881)">
229
+      <path
230
+         style="fill:none;stroke:#000000;stroke-width:1.165;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow1-35)"
231
+         d="m 15.528142,110.15963 c 8.987362,0 8.987362,0 8.987362,0"
232
+         id="path2023-9" />
233
+      <text
234
+         xml:space="preserve"
235
+         style="font-size:3.175px;white-space:pre;inline-size:4.42075;display:inline;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.165;stroke-dasharray:none;stroke-opacity:1"
236
+         x="26.874292"
237
+         y="75.993965"
238
+         id="text2097-1"
239
+         transform="matrix(6.3391416,0,0,6.3391416,-156.14475,-355.5357)"><tspan
240
+           x="26.874292"
241
+           y="75.993965"
242
+           id="tspan2826">c</tspan></text>
243
+    </g>
244
+    <text
245
+       xml:space="preserve"
246
+       style="font-size:12.4563px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.647336;stroke-dasharray:none;stroke-opacity:1"
247
+       x="105.30215"
248
+       y="118.32616"
249
+       id="text2398"
250
+       transform="scale(1.0595331,0.94381194)"><tspan
251
+         sodipodi:role="line"
252
+         id="tspan2396"
253
+         style="stroke-width:0.647336"
254
+         x="105.30215"
255
+         y="118.32616">φ</tspan></text>
256
+  </g>
257
+</svg>

Loading…
Cancel
Save