Didaktický test

DdDdz<

DDϭϳWϬdϬϰ d^dz<dzEz

DĂŬƐLJŵĂůŶĂŝůŽƑđƉƵŶŬƚſǁ͗ϱϬ WƌſŐnjĂůŝĐnjĞŶŝĂ͗ϯϯй

ϭ

• dĞƐƚĚLJĚĂŬƚLJĐnjŶLJnjĂǁŝĞƌĂϮϲnjĂĚĂŷ͘

• njĂƐƉƌĂĐLJŽnjŶĂĐnjŽŶŽǁŬĂƌƚĂĐŚ ŽĚƉŽǁŝĞĚnjŝ͘

• tĐnjĂƐŝĞƉƌĂĐLJŵŽǏŶĂŬŽƌnjLJƐƚĂđƚLJůŬŽnj͗

ƉƌnjLJďŽƌſǁĚŽƉŝƐĂŶŝĂŝƌLJƐŽǁĂŶŝĂ͕ͣdĂďůŝĐ ŵĂƚĞŵĂƚLJĐnjŶŽͲĨŝnjLJĐnjŶŽͲĐŚĞŵŝĐnjŶLJĐŚ͞

ŝƉƌŽƐƚĞŐŽŬĂůŬƵůĂƚŽƌĂďĞnjŬĂƌƚLJŐƌĂĨŝĐnjŶĞũ͕

ŶŝĞƉŽƐŝĂĚĂũČĐĞŐŽĨƵŶŬĐũŝƌŽnjǁŝČnjLJǁĂŶŝĂ ƌſǁŶĂŷŝƉƌnjĞŬƐnjƚĂųĐĂŶŝĂǁLJƌĂǏĞŷ ĂůŐĞďƌĂŝĐnjŶLJĐŚ͘

• KďŽŬŬĂǏĚĞŐŽnjĂĚĂŶŝĂƵŵŝĞƐnjĐnjŽŶŽ ŵĂŬƐ͘ŝůŽƑđƉƵŶŬƚſǁ͘

• KĚƉŽǁŝĞĚnjŝǁƉŝƐƵũĚŽŬĂƌƚLJŽĚƉŽǁŝĞĚnjŝ͘

• EŽƚŽǁĂđŵŽǏŶĂǁĂƌŬƵƐnjƵnjĂĚĂŷ͕ŶŽƚĂƚŬŝ ŶŝĞnjŽƐƚĂŶČŽĐĞŶŝŽŶĞ͘

• EŝĞũĞĚŶŽnjŶĂĐnjŶLJůƵďŶŝĞĐnjLJƚĞůŶLJnjĂƉŝƐ njŽƐƚĂŶŝĞƵnjŶĂŶLJnjĂďųħĚŶLJ͘

• WŝĞƌǁƐnjČĐnjħƑđƚĞƐƚƵĚLJĚĂŬƚLJĐnjŶĞŐŽ

;njĂĚĂŶŝĂϭʹϭϱͿƚǁŽƌnjČnjĂĚĂŶŝĂŽƚǁĂƌƚĞ͘

• tĚƌƵŐŝĞũĐnjħƑĐŝƚĞƐƚƵĚLJĚĂŬƚLJĐnjŶĞŐŽ

;njĂĚĂŶŝĂϭϲʹϮϲͿnjĂǁĂƌƚĞƐČnjĂĚĂŶŝĂ njĂŵŬŶŝħƚĞnjǁLJďŽƌĞŵŽĚƉŽǁŝĞĚnjŝ͘tĞ ǁƐnjLJƐƚŬŝĐŚnjĂĚĂŶŝĂĐŚͬůƵďŝĐŚĐnjħƑĐŝĂĐŚͬ

ƚLJůŬŽũĞĚŶĂŽĚƉŽǁŝĞĚǍũĞƐƚƉŽƉƌĂǁŶĂ͘

• ĂďƌĂŬƌŽnjǁŝČnjĂŶŝĂůƵďŶŝĞƉƌĂǁŝĚųŽǁĞ ƌŽnjǁŝČnjĂŶŝĞĐĂųĞŐŽnjĂĚĂŶŝĂŶŝĞƉƌnjLJĚnjŝĞůĂ ƐŝħƉƵŶŬƚſǁƵũĞŵŶLJĐŚ͘

Ϯ

• WŝƐnjĚųƵŐŽƉŝƐĞŵnjŶŝĞďŝĞƐŬŝŵůƵďĐnjĂƌŶLJŵ ƚƵƐnjĞŵ͘WŝƐnjǁLJƌĂǍŶŝĞ͕ĐnjLJƚĞůŶŝĞ͘

• KŝůĞďħĚnjŝĞƐnjƌLJƐŽǁĂđnjǁLJŬųLJŵŽųſǁŬŝĞŵ͕

ƉŽŐƌƵďǁƐnjLJƐƚŬŽĚųƵŐŽƉŝƐĞŵ͘

• KĐĞŶŝŽŶĞnjŽƐƚĂŶČƚLJůŬŽŽĚƉŽǁŝĞĚnjŝ

Ϯ͘ϭ

• tLJŶŝŬŝǁƉŝƐƵũĐnjLJƚĞůŶŝĞĚŽǁLJnjŶĂĐnjŽŶLJĐŚ ďŝĂųLJĐŚƉſů͘

• :ĞǏĞůŝǁLJŵĂŐĂŶĞũĞƐƚĐĂųĞƌŽnjǁŝČnjĂŶŝĞ͕

ƉƌnjĞĚƐƚĂǁ͕ŽƉƌſĐnjǁLJŶŝŬƵ͕ĐĂųLJƉƌnjĞďŝĞŐ ƌŽnjǁŝČnjĂŶŝĂ͘:ĞǏĞůŝƉŽĚĂƐnjƚLJůŬŽǁLJŶŝŬ͕ƚŽ ŶŝĞŽƚƌnjLJŵĂƐnjnjĂƚŽnjĂĚĂŶŝĞǏĂĚŶLJĐŚ ƉƵŶŬƚſǁ͘

• ĂƉŝƐLJŽďŽŬǁLJnjŶĂĐnjŽŶLJĐŚďŝĂųLJĐŚƉſůŶŝĞ njŽƐƚĂŶČŽĐĞŶŝŽŶĞ͘

• ųħĚŶLJnjĂƉŝƐƉƌnjĞŬƌĞƑůŝnjĂƉŝƐnjŶŽǁĞ ƌŽnjǁŝČnjĂŶŝĞ͘

Ϯ͘Ϯ

• WŽƉƌĂǁŶČŽĚƉŽǁŝĞĚǍŽnjŶĂĐnjǁLJƌĂǍŶŝĞ ŬƌnjLJǏLJŬŝĞŵǁďŝĂųLJŵƉŽůƵŶĂŬĂƌĐŝĞ ŽĚƉŽǁŝĞĚnjŝ͕ǁŐƌLJƐƵŶŬƵʹĚŽŬųĂĚŶŝĞ͘

• :ĞǏĞůŝĐŚĐĞƐnjnjŵŝĞŶŝđŽĚƉŽǁŝĞĚǍ͕ƐƚĂƌĂŶŶŝĞ njĂŬŽůŽƌƵũŽnjŶĂĐnjŽŶĞƉŽůĞ͕njĂƑǁLJďƌĂŶČ ŽĚƉŽǁŝĞĚǍŽnjŶĂĐnjŬƌnjLJǏLJŬŝĞŵǁŶŽǁLJŵ ƉŽůƵ͘

• :ĂŬŝŬŽůǁŝĞŬŝŶŶLJƐƉŽƐſďǁƉŝƐLJǁĂŶŝĂ ŽĚƉŽǁŝĞĚnjŝŝǁŶŽƐnjĞŶŝĂƉŽƉƌĂǁĞŬƵnjŶĂŶLJ njŽƐƚĂŶŝĞnjĂŽĚƉŽǁŝĞĚǍďųħĚŶČ͘

SXQNW

=DSLV]MHGQÇGUXJÇUµľQLF\Z\UDľHĆ

L݊

ZSRGDQHMNROHMQRĝFL

ZMDNQDMSURVWV]HMSRVWDFL݊ א

SXQNW 'ODܽ א ሺͲǢ ൅λሻXSURĝÉ

ඥή ܽ ή ඥܽ ^ିൌ

SXQNW 5R]ZLÇľQLHUµZQRĝÉZ]ELRU]H܀

ݔ െ൐ െ൅ݔ

PDNVSXQNW\

'ODܽ א ܀ ך ሼǢ

XSURĝÉ

൬െ ܽ

ܽ െ൰ ׷ ܽ

ܽ െൌ

:NDUWDFKRGSRZLHG]LSU]HGVWDZFDĄ\SU]HELHJUR]ZLÇ]DQLD

PDNVSXQNW\

5R]ZLÇľXNĄDGUµZQDĆGODݔǡ ݕǡ ݖ א ܀

ݖ െݕ ൌ െ ݔ െݖ ൌ െ

:NDUWDFKRGSRZLHG]LSU]HGVWDZFDĄ\SU]HELHJUR]ZLÇ]DQLD

PDNVSXQNW\

5R]ZLÇľUµZQDQLHZ]ELRU]H܀

ݔ െൌ ሺݔ െሻሺݔ ൅ሻ

SXQNW

Ž‘‰ ݕ ൌŽ‘‰ ݔ ൅

:\]QDF]]PLHQQÇݕWDNDE\ZZ\UDľHQLXQLHZ\VWÛSRZDĄ\ORJDU\WP\

5<681(.'2=$'$1,$

&=99

PDNVSXQNW\

)XQNFMD݂MHVWRNUHĝORQDZ]RUHP݂ǣ ݕ ൌ െ

ݔ

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2

\

PDNVSXQNW\

=H]ELRUXQDVWÛSXMÇF\FKSRVRELHOLF]EQDWXUDOQ\FKRGGR]RVWDQLH ORVRZRZ\EUDQDMHGQDOLF]ED

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7(.67Ļ5•'ă2:<,5<681(.'2=$'$1,$

3XQNW\SRF]ÇWNRZHLNRĆFRZHZHNWRUµZݑሬԦǡ ݒԦ]QDMGXMÇVLÛZPLHMVFDFKSU]HFLÛFLDOLQLL VLDWNL

&=99

SXQNW 3RGDMZVSµĄU]ÛGQHZHNWRUDݓ

ݒԦ

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2 [

7(.67Ļ5•'ă2:<,5<681(.'2=$'$1,$

'ODSURVWHMSGDQHMHVW Sݔ ൌ െ൅ݐ

ݕ ൌെ ݐǢ ݐ א ܀

&=99

PDNVSXQNW\

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SXQNW

ቁ^ݔGODZV]\VWNLFKݔ א ܀

=H]ELRUX0

ǢെǢ Ǣ Ǣ

Ǣ ቅZ\ELHU]ZV]\VWNLHOLF]E\NWµUH

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PDNVSXQNW\

'ODݔ א ۃιǢ

–‰ ݔ ൌ െ

\

2

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α

&

ξ

$

β

γ

7(.67Ļ5•'ă2:<,5<681(.'2=$'$1,$

5R]PLDU\QDU\VXQNXVÇSRGDQHZFHQW\PHWUDFK

&=99

PDNVSXQNW\

:WUµMNÇFLH$%&REOLF]EH]]DRNUÇJODQLD

PLDUÛNÇWDZHZQÛWU]QHJR γ

Z\VRNRĝÉY

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7(.67Ļ5•'ă2:<'2=$'$1,$

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PDNVSXQNW\

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7(.67Ļ5•'ă2:<'2=$'$1,$

(ZDMHMVWDUV]\NROHJD0DUHNLMHJRZĄDVQDEDEFLDPDMÇG]LVLDMXURG]LQ\

%DEFLDPDODWD0DUHNPDPODWD(ZDMHVWRG ODWPĄRGV]DQLľEDEFLD

&=99

PDNVSXQNW\

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71

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ODW

7(.67Ļ5•'ă2:<,5<681(.'2=$'$1,$

=PLHMVFD REVHUZDFML

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MHGQHMSURVWHM

&=99

SXQNW\

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P

7(.67Ļ5•'ă2:<,5<681(.'2=$'$1,$

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SXQNW\

2LOHFP

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RFP

RFP

RFP

RFP

RFP

7(.67Ļ5•'ă2:<,5<681(.'2=$'$1,$

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&=99

SXQNW\

,OHZ\QRVLSROHSRZLHU]FKQLMHGQHJRJUDQLDVWRVĄXSDWUµMNÇWQHJR"

FP

FP

FP

FP

FP FP

$

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7(.67Ļ5•'ă2:<,5<681(.'2=$'$1,$

SURVWRSDGĄRĝFLDQ

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&=99

SXQNW\

,OHZ\QRVLVWRVXQHN9

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QLHGDVLÛRNUHĝOLÉ

7(.67Ļ5•'ă2:<,5<681(.'2=$'$1,$

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SXQNW\

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FP

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E

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7(.67Ļ5•'ă2:<'2=$'$1,$

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SXQNW\

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SXQNW\

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7(.67Ļ5•'ă2:<,:<.5(6'2=$'$1,$

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&=99

SXQNW\

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QDPQLHMQLľ QD

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QDZLÛFHMQLľ

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RPQLHMQLľ R

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