Opiskelupolut
Opiskelupolut
Opiskelupolut
Juuri 4 Vektorit
Opiskelupolut päivitetty 2.4.2018
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1.1 Geometrinen vektori (1 h)
|
TASO 1 (AS 5-6) |
101 102 103 104 105 106 |
|
TASO 2 (AS 7-8) |
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 |
|
TASO 3 (AS 9-10) |
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 117 118 120 |
1.2 Vektorien summa ja erotus (1 h)
|
TASO 1 (AS 5-6) |
121 122 123 124 125 |
|
TASO 2 (AS 7-8) |
121 122 123 124 125 126 127 128 129 130 131 133 134 135 |
|
TASO 3 (AS 9-10) |
121 122 123 124 125 126 127 128 129 130 131 132 135 136 137 139 140 |
1.3 Vektorin kertominen luvulla (1 h)
|
TASO 1 (AS 5-6) |
141 142 143 144 145 |
|
TASO 2 (AS 7-8) |
141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 |
|
TASO 3 (AS 9-10) |
141 142 143 144 145 146 147 148 149 150 151 152 153 154 156 157 158 160 161 |
1.4 Vektorin komponentit (1 h)
|
TASO 1 (AS 5-6) |
163 164 165 166 167 |
|
TASO 2 (AS 7-8) |
163 164 165 166 167 168 169 170 171 173 174 175 176 |
|
TASO 3 (AS 9-10) |
163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 179 180 181 |
2.1 Kaksiuloitteisen koordinaatiston kantavektorit (2 h)
|
TASO 1 (AS 5-6) |
201 202 203 204 205 206 207 |
|
TASO 2 (AS 7-8) |
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 221 |
|
TASO 3 (AS 9-10) |
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 219 220 221 222 223 225 227 |
2.2 Geometriaa vektoreilla (1 h)
|
TASO 1 (AS 5-6) |
229 230 231 232 233 |
|
TASO 2 (AS 7-8) |
229 230 231 232 233 234 235 236 237 238 239 242 243 |
|
TASO 3 (AS 9-10) |
229 230 231 232 233 234 235 236 237 238 239 242 243 244 245 247 |
2.3 Kolmiuloitteinen koordinaatisto (1 h)
|
TASO 1 (AS 5-6) |
249 250 251 252 253 254 255 256 257 258 259 260 262 263 |
|
TASO 2 (AS 7-8) |
249 250 251 252 253 254 255 256 257 258 259 260 262 263 |
|
TASO 3 (AS 9-10) |
249 250 251 252 253 254 255 256 257 258 259 260 262 263 |
3.1 Yhtälöryhmä (2 h)
|
TASO 1 (AS 5-6) |
301 302 303 304 305 |
|
TASO 2 (AS 7-8) |
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 |
|
TASO 3 (AS 9-10) |
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 317 318 319 320 |
3.2 Pistetulo (2 h)
|
TASO 1 (AS 5-6) |
322 323 324 325 326 327 328 |
|
TASO 2 (AS 7-8) |
322 323 324 325 326 327 328 329 330 331 332 333 334 336 337 339 341 342 344 |
|
TASO 3 (AS 9-10) |
322 323 324 325 326 327 328 329 330 331 332 333 334 336 337 339 340 341 342 344 345 348 349 350 |
4.1 Suora tasossa ja avaruudessa (2 h)
|
TASO 1 (AS 5-6) |
401 402 403 404 405 406 407 |
|
TASO 2 (AS 7-8) |
401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 419 420 421 |
|
TASO 3 (AS 9-10) |
401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 419 420 421 422 423 424 425 426 427 |
4.2 Taso avaruudessa (2 h)
|
TASO 1 (AS 5-6 ) |
429 430 431 432 433 434 |
|
TASO 2 (AS 7-8) |
429 430 431 432 433 434 435 436 437 438 439 440 442 443 444 446 |
|
TASO 3 (AS 9-10) |
429 430 431 432 433 434 435 436 437 438 439 440 442 443 444 446 447 448 449 450 451 452 453 |