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1.
1 1 8 2019 03 0 ﺩ 4 0 0 01 0 08 0 4 0 0 08 ( 13 06 i . 14 13 ݉ ݉ 1 1 ( 13 1 - ܰ ଵଷ ܥ 2 ( ݈݊ܣ ݐ ܣ ܣ λ λ λ ܣ 2 2 ܣ ܣ λ ݐభ మ 13 1 ݉ ii . ܲݑ ଽସ ଶଷଽ ݊ ଵ ՜ ܯ ସଶ ଵଶ
ܶ݁ ହଶ ଵଷହ ͵ ݊ ଵ 1 e n c y - e d u c a t i o n . c o m / e x a m s 1 13 3 06 14 1 1 s m s s 3as.ency-education.com
2.
2 2 8 2019 1 - 2 - 2 2 - ο݉ଵ ο ο݉ଶ ο ο݉ଷ - ܧሺ ܲݑ ଽସ ଶଷଽ ሻ
ܲݑ ଽସ ଶଷଽ ܶ݁ ହଶ ଵଷହ . - ܸ݁ܯ 3 - ܲ ൌ ͵ ൈ ͳͲ ܹ ܲ ρ ൌ ͺͷΨ - ܲݑ ଽସ ଶଷଽ 45 ρ ൌ ா ா ρ ܧ ܧ ܧ൫ ܶ݁ ହଶ ଵଷହ ൯ ൌ ͳͳʹǤͻܸ݁ܯ ܧ ͳܸ݁ܯ ൌ ͳǤ ൈ ͳͲିଵଷ ݆ ͳݑ ൌ ͻ͵ͳǤͷ ܸ݁ܯ ܥଶ Τ ܰ ൌ ǤͲʹ ൈ ͳͲଶଷ ݈݉ିଵ 07 3 3 - ܧ - ܴ ൌ ͳ݇ȳ . - ܥଵ ܥ ܥଶ - ܮ ܮ ܭ ܭ ݐ ൌ Ͳ ሺͳሻ ሺ ݑభ ሺݐሻ ݑమ ሺݐሻ ݑ 3 ଵ ൌ ଵ భ ଵ మ ݍ ൌ ݍଵ ൌ ݍଶ ݍ ݍ ܥ 1 ( ݍ 3 2 e n c y - e d u c a t i o n . c o m / e x a m s - ο݉ ݉ଶ ଶ ο - - ܲ ଽସ ଶଷଽ ଶ ܶ݁ ܶ݁ ହଶ ହଶ ଵଷହ ଵଷହ . . ܲ ܲ ͷΨ ܲ ଽସ ଶଷଽ ଶ ρ ρ ܧ ܧ ൌ ͳ ͳǤ Ǥ ൈ ൈ ͳͲ ͳͲିଵଷ ݆ ൌ ൌ ǤͲʹ Ͳʹ ൈ ൈ ͳͲ ͳͲଶଷ ݉ ܥ ܥ d 3as.ency-education.com
3.
3 3 8 2019 ݍ ൌ ܥܧ
ቀͳ െ ݁ି ഓቁ ݑభ ሺݐሻ ݑ ݑమ ሺݐሻ 2 ( 4 4 ߬ ܧ ܥ 3 ( ܥଵ ܥ ܥଶ ܥ 4 ( ݑభ ൌ ݑோ ݐ ൌ ߬ ݈݊ ͵Ǥͷ 5 ( ሺʹሻ ሺ 1 ( ݑభ ݑ 2 ( ݑభ ൌ ݑଵ …‘• ቀ ଶగ ்బ ݐ ߮ቁ ݑ ݑଵ ݑ ܥଵ ܥ ݐ ͳǤʹݏ . ܶ 3 ( 4 ܶ ܶ ܮ 7 7 I . ܪܥଷܪܱܱܥ ݉ ൌ ͲǤ͵݃ ݉ ͷͲͲ݉ܮ ሺܵሻ . ܸ ൌ ʹͲ݉ܮ ܸ ሺܵሻ ͺͲ݉ܮ 4 e n c y c o m / e x a m s 2 ( 3 3 ( ( 4 4 ( ( 5 ( ʹሻ భ ൌ ݑ ݑଵ ଵ …‘• …‘• ቀ ቀ ଶ ଶగ గ ்బ ் / e ݐ ݐ . 4 3as.ency-education.com
4.
4 4 8 2019 ሺܰܽା ܱܪିሻ ܥ ൌ
ͲǤͲͳ݈݉Ȁܮ ʹͷԨ ʹ 1 ( 2 ( 3 ( ܪ ൌ ݂ሺܸሻ 4 ( ܥ ሺܵሻ 5 ( ሺܵሻ ݉ ݉ 6 ( ܽܭ ሺܪܥଷܪܱܱܥȀܪܥଷܱܱܥିሻ II . ͳͶͺ݃ ͳ ܥܪଶାଵܱܪ ͳʹͲ‰ ܪܥଷܪܱܱܥ ( ( ݔ ( ( ( ( ( ( ( ͵݃ ͻ݃ ͻ ܯሺܪሻ ൌ ͳ ݃ ݈݉ Τ ܯ ܯሺܱሻ ൌ ͳ ݃ ݈݉ Τ ܯ ܯሺܥሻ ൌ ͳʹ ݃ ݈݉ Τ 30 27 24 21 20.5 19.5 19 18 15 12 9 6 3 0 ܸሺ݉ܮሻ 11.3 11.1 10.9 10.4 10.0 6.4 6.0 5.7 5.2 4.9 4.7 4.4 4.0 3.8 ܪ 5 e n c y c a t i o n . c o m / e x a m s 1 1 ( ( 2 ( ݂ሺܸ ܸ ܸ ܸ ܸ ሻ ሻ ܭ ଷܱܱܥ ܱܱି ିሻ ሻ ܪ 1.3 s s s c y - 5 3as.ency-education.com
5.
5 5 8 2019 4 0 0 5 0 0 08 0 08 0 08 ( 13 06 1 - ܧ - ܴ . - ܥ - ܮ ݎ ݎ - ܭ ܭ ݐ ൌ Ͳ ሺͳሻ ሺ ݑ ݅ 2 3 3 1 ( 2 ( ݑ ݑ 3 ( ݑ
ൌ ܣ ݁ܤఈ௧ ݑ ܣ ܣ ܤ ܤ ߙ ߙ 4 ( ݑோሺݐሻ ௨ ௨ೃ ൌ ݁ ഓ െ ͳ 5 ( 2 2 3 3 ܧ ܴ ߬ ߬ ܥ ܥ 1 3 2 e n c y - a t i o n . c o m / e x a m s - - - ܥ ܥ ܥ ܥ ܮ ܮ ݐ ݑ ݑ 2 y 3as.ency-education.com
6.
6 6 8 2019 ݐ ൌ Ͳ ሺʹሻ 4 1 ( 2 ( ݍሺݐሻ ( ܶ
ൎ ʹߨξܥܮ ܶ ܮ ( ( ݐ ൌ ܶ ݐ ( ܫ 07 ሺܵሻ ݉ ൌ ʹͲͲ݃ ݉ ܣ ܣ Ƚ ݒ ݒ ሺܵሻ ሺܤܣሻ ݂ ൌ ͲǤͺܰ ܤ ܦ ܦ 5 5 ݃ ൌ ͻǤͺ݉Ȁݏଶ ܤܣ ൌ ͳǤʹ݉ ܣ 1 ( ሺሻ ሺ - ሺܵሻ - - ݐ ൌ Ͳ ݐ ሺܵሻ ܣ - ݒ ଶ െ ݒ ଶ ൌ ʹܽ ൈ ܤܣ . 4 5 ݍሺݐ ݐሻ ሻ Ƚ Ƚ ݂ ݂ ൌ ൌ Ͳ ͲǤ Ǥͺ ͺܰ ܰ ݂ ݂ ݃ ݃ ൌ ൌ ͻ ͻǤͺ݉ ʹ݉ x a m s e n c e n 5 3as.ency-education.com
7.
7 7 8 2019 2 ( ݐ ൌ Ͳ ܤ ܤ ሺܵሻ ሺݔܤǡ
ݕܤሻ 6 7 7 - ሺݔܤሻ ሺݕܤሻ - - - ݒ௫ ሺݔܤሻ ሺ ݒ௬ ݒ ሺݕܤሻ Ƚ Ƚ ݒ ܤ - ܦܣ . - ሺܵሻ 3 ( ܽ ܽ ሺܵሻ ሺܤܣሻ ݒ . 7 7 I . ݉ ൌ ͲǤ͵݃ ݈ܣ ܣ ܸ ൌ ʹͲͲ݉ܮ ܸ ሺܪଷܱା ݈ܥିሻ ܿ ൌ ͲǤʹ ݈݉ ݈ Τ ܸுమ ൌ ݂ሺݐሻ ܸ 6 7 e n c y - e d u c a t i o n . c o ሺ ሺݔܤ ݔܤሻ ሻ ሺݕܤ ݕܤሻ ሻ ݔሻ ሻ ݒ ݒ ݒ ݒ . x a m s ܵሻ x 3as.ency-education.com
8.
8 8 8 2019 ʹ݈ܣሺ௦ሻ ܪଷܱା ሺሻ
ൌ ʹ݈ܣଷା ሺሻ ͵ܪଶሺሻ ܪଶܱሺሻ - ሺܱݔ ܴ݁݀ Τ ሻ - ݔ௫ ܪଷܱା - - - ݐଵ ଶ Τ - ݐ ݐ ݒ ൌ ଵ ଷಾ ൈ ௗಹమ ሺ௧ሻ ௗ௧ ݐ ൌ ͳͲ݉݅݊ II . ܸ ൌ ʹͲ݉ܮ ሺܰܽା ܱܪି ሻ ሺ ܥ ൌ ͲǤͲͳ ݈݉ ܮ Τ ܪ 9 9 1 ( 2 ( ሺܪଷܱା ݈ܥିሻ ሺ ሺܰܽା ܱܪି ሻ 3 ( 4 ( ( ܥ 5 ( ݔ௫ ݔ ʹͷι ܯሺ݈ܣሻ ൌ ʹ݃Ǥ ݈݉ିଵ ܯ ܸெ ൌ ʹͶܮǤ ݈݉ିଵ ܸ ܭ ൌ ͳͲିଵସ 8 9 ૢ e n c y - e d u c a t i o n . c o m / e x a m s - - ܪ ܪଷ ଷܱ ܱା ା ݐ ݐଵ ଶ Τ ݐ ݐ ݒ ݒ ൌ ൌ ଵ m ͳͲ݉݅݊ ݉݅݊ ሺ ሺܰܽ ܰ ା 3as.ency-education.com
9.
9 9 8 06 3 ( α β γ γ 13 1 ߚା ߚ ଵ ଵ ՜ ݊ ଵ ݁ ାଵ ܰ ଵଷ ՜
ܺ ݁ ଵ ͳ͵ ൌ ܣ ൌ ܼ ͳ ֜ ܼ ൌ ܰ ଵଷ ՜ ܥ ଵଷ ݁ ାଵ 4 ( . ܣሺݐሻ ൌ ܣ݁ିఒ௧ ֜ Ž ܣ ൌ െߣݐ Ž ܣ Ž ܣ ൌ ܽݐ ܾ ܽ ൌ ʹͳǤ െ ͵ʹ ͳͷͲ െ Ͳ ൌ െͲǤͲͻ͵݉݅݊ିଵ ܾ ൌ ͵ʹ Ž ܣ ൌ െͲǤͲͻ͵ݐ ͵ʹ ߣ ൌ െͲǤͲͻ͵݉݅݊ିଵ Ž ܣ ൌ ͵ʹ ֜ ܣ ൌ ݁ଷଶ ൌ Ǥͺͻ ൈ ͳͲଵଷ ݍܤ ݉ ݉ ܣ ൌ ߣܰ ൌ ߣ ݉ܰ ܯ ֜ ݉ ൌ ܣܯ ܰ ൈ ߣ ൌ Ǥͺͻ ൈ ͳͲଵଷ ൈ ͳ͵ ǤͲʹ ൈ ͳͲଶଷ ൈ ͲǤͲͻ͵ Ͳ ൌ ͳǤͶ ൈ ͳͲି ݃ 4 - 5 - - ο݉ଵ ο݉ଶ ο݉ଷ ο݉ଵ ൌ ʹͶͳǤͻͶͺͺ െ ʹͶͲǤͲͲʹͳ ൌ ͳǤͻͶͷʹݑ ο݉ଶ ൌ ʹͶͳǤͻͶͺͺ െ ʹ͵ͻǤͺͲͲͺ ൌ ʹǤͳͶͻݑ ο݉ଷ ൌ ʹͶͲǤͲͲʹͳ െ ʹ͵ͻǤͺͲͲͺ ൌ ͲǤʹͲͳ͵ͺݑ - ܧሺ ܲݑ ଽସ ଶଷଽ ሻ ܧ ܧሺ ܲݑ ଽସ ଶଷଽ ሻ ൌ ο݉ଵܥଶ ൌ ͳǤͻͶͷʹ ൈ ͻ͵ͳǤͷ ൌ ͳͺͳ͵Ǥͳͺܸ݁ܯ e n c y - e d u c a t i o n . c o m / e x a m s . ͻ͵ ͵݉݅݊ ݉݅݊ି ିଵ ͵ʹ ͲǤͲͻ͵ ͻ͵ݐ ݐ ͵ʹ ͵ʹ ߣ ൌ െ െͲ ͲǤͲͻ͵ Ͳͻ͵݉݅݊ ݉ ି ͵ʹ ֜ ֜ ܣ ܣ ൌ ൌ ݁ ݁ଷଶ ൌ ܰ ܰ ܯ u ֜ ֜ ݉ ݉ ൌ ൌ ܣ ܣ ܯ ܰ c 3as.ency-education.com
10.
10 1 8 - ܲݑ ଽସ ଶଷଽ ଶ ܶ݁ ହଶ ଵଷହ . ܧ ܣ ሺ ܲݑ ଽସ ଶଷଽ
ሻ ൌ Ǥͷͺܸ݁ܯȀ݊ܿݑ ܧ ܣ ሺ ܶ݁ ହଶ ଵଷହ ሻ ൌ ͺǤ͵Ͷܸ݁ܯȀ݊ܿݑ ܶ݁ ହଶ ଵଷହ - ܸ݁ܯ ܧ ൌ ο݉ଷܥଶ ൌ ͲǤʹͲͳ͵ͺ ൈ ͻ͵ͳǤͷ ൌ ͳͺǤͷͺܸ݁ܯ ൌ ͵ ൈ ͳͲିଵଵ ݆ - 6 - ܧ ൌ ܰ ൈ ܧ ֜ ܧ ൌ ݉ ൈ ܰ ܯ ൈ ܧ ֜ ݉ ൌ ܧ ൈ ܯ ܰ ൈ ܧ ρ ൌ ܧ ܧ ֜ ܧ ൌ ܧ ρ ܲ ൌ ܧ ݐ ֜ ܧ ൌ ܲ ൈ ݐ ֜ ܧ ൌ ܲ ൈ ݐ ρ ֜ ݉ ൌ ܲ ൈ ݐ ൈ ܯ ρ ൈ ܰ ൈ ܧ ൌ ͵ ൈ ͳͲ ൈ Ͷͷ ൈ ʹͶ ൈ ͵ͲͲ ൈ ʹ͵ͻ ͲǤͺͷ ൈ ǤͲʹ ൈ ͳͲଶଷ ൈ ͵ ൈ ͳͲିଵଵ ൌ ͳͺͳǤͷͻ݃ 07 6 ( ݑோ ݑభ ݑమ ൌ ܧ ֜ ܴ݅ ݍଵ ܥଵ ݍଶ ܥଶ ൌ ܧ ֜ ܴ ݀ݍ ݀ݐ ݍ ൬ ͳ ܥଵ ͳ ܥଶ ൰ ൌ ܧ ֜ ܴ ݀ݍ ݀ݐ ݍ ͳ ܥ ൌ ܧ ֜ ܴܥ ݀ݍ ݀ݐ ݍ ൌ ܥܧ ݍ ൌ ܥܧ ൬ͳ െ ݁ି ௧ ఛ൰ ݀ݍ ݀ݐ ൌ ܥܧ ߬ ݁ି ௧ ఛ ֜ ܴܥ ݀ݍ ݀ݐ ݍ ൌ ܥܧ ֜ ܴܥ ܥܧ ߬ ݁ି ௧ ఛ ܥܧ ൬ͳ െ ݁ି ௧ ఛ൰ ൌ ܥܧ ֜ ܥܧ݁ି ௧ ఛ ܥܧ െ ܥܧ݁ି ௧ ఛ ൌ ܥܧ ֜ Ͳ ൌ Ͳ ݑభ ൌ ݍଵ ܥଵ ൌ ݍ ܥଵ ൌ ܥܧ ܥଵ ൬ͳ െ ݁ି ௧ ఛ൰ ݑమ ൌ ݍଶ ܥଶ ൌ ݍ ܥଶ ൌ ܥܧ ܥଶ ൬ͳ െ ݁ି ௧ ఛ൰ 7 ( ߬ ൌ ͲǤʹݏ e n c y - e d u c a t i o n . c o m / e x a m s - - 6 - ͷ ൈ ʹͶ ʹͶ ൈ ൈ ͵ͲͲ Ͳ ൈ ʹ ǤͲʹ ൈ ͳͲ ͳ ଶଷ ଷ ൈ ൈ ͵ ͵ ൈ c o ܥଶ ൌ ൌ ܧ ܧ ֜ ֜ ܴ ܴ ݀ݍ ݀ݍ ݀ݐ ݀ o ֜ ֜ ܴ ܴܥ ܥ ܥ ܥ ݀ݍ ݀ݍ ݀ݐ a t ֜ ֜ ܴ ܴܥ ܥ ܥ ݀ݍ ݀ ݀ e 3as.ency-education.com
11.
11 1 8 ݑభ ݑమ ൌ ܧ ֜
Ͷ ൌ ܧ ֜ ܧ ൌ ͳͲܸ ߬ ൌ ܴܥ ֜ ܥ ൌ ߬ ܴ ൌ ͲǤʹ ͳͲͲͲ ൌ ʹ ൈ ͳͲିସ ܨ 8 ( ݑభ ൌ ܥܧ ܥଵ ֜ ܥଵ ൌ ܥܧ ݑభ ൌ ͳͲ ൈ ʹ ൈ ͳͲିସ Ͷ ൌ Ͷ ൈ ͳͲିସ ܨ ݑమ ൌ ܥܧ ܥଶ ֜ ܥଶ ൌ ܥܧ ݑమ ൌ ͳͲ ൈ ʹ ൈ ͳͲିସ ൌ ͵Ǥ͵͵ ൈ ͳͲିସ ܨ 9 ( ݑభ ൌ ݑோ ֜ Ͷ ൬ͳ െ ݁ି ௧ ఛ൰ ൌ ݁ܧି ௧ ఛ ֜ Ͷ െ Ͷ݁ି ௧ ఛ ൌ ͳͲ݁ି ௧ ఛ ֜ Ͷ ൌ ͳͶ݁ି ௧ ఛ ֜ Ͷ ͳͶ ൌ ݁ି ௧ ఛ ֜ ݈݊ Ͷ ͳͶ ൌ െ ݐ ߬ ֜ ݈݊ ͳͶ Ͷ ൌ ݐ ߬ ֜ ݐ ൌ ݈߬݊͵Ǥͷ 10 ( ( ܧଵ ൌ ͳ ʹ ܥଵݑభ ଶ ൌ ͲǤͷ ൈ Ͷ ൈ ͳͲିସ ൈ Ͷଶ ൌ ͵Ǥʹ ൈ ͳͲିଷ ܬ ܧଶ ൌ ͳ ʹ ܥଶݑమ ଶ ൌ ͲǤͷ ൈ ͵Ǥ͵͵ ൈ ͳͲିସ ൈ ଶ ൌ ൈ ͳͲିଷ ܬ ܧ ൌ ͳ ʹ ܥܧଶ ൌ ͲǤͷ ൈ ʹ ൈ ͳͲିସ ൈ ͳͲଶ ൌ ͲǤͲͳܬ ሺʹሻ 7 ( ݑభ ݑ ݑభ ൌ Ͳ ֜ ܮ ݀݅ ݀ݐ ݑభ ൌ Ͳ ֜ ܮ ݀ଶ ݍ ݀ݐଶ ݑభ ൌ Ͳ ֜ ܮ ݀ଶ ൫ݑభ ܥଵ൯ ݀ݐଶ ݑభ ൌ Ͳ ֜ ܥܮଵ ݀ଶ ݑభ ݀ݐଶ ݑభ ൌ Ͳ ֜ ࢊ ࢛ ࢊ࢚ ࡸ ࢛ ൌ ( ݑభ ൌ ݑଵ …‘• ൬ ʹߨ ܶ ݐ ߮൰ ֜ ݀ଶ ݑభ ݀ݐଶ ൌ െݑଵ ൬ ʹߨ ܶ ൰ ଶ …‘• ൬ ʹߨ ܶ ݐ ߮൰ ֜ ݀ଶ ݑభ ݀ݐଶ ൌ െ ൬ ʹߨ ܶ ൰ ଶ ݑభ ֜ ࢊ ࢛ ࢊ࢚ ൬ ࣊ ࢀ ൰ ࢛ ൌ ൬ ʹߨ ܶ ൰ ଶ ൌ ͳ ܥܮଵ ֜ ܶ ൌ ʹߨξܥܮ ( ܶ ൌ ͲǤʹݏ e n c y - e d u c a t i o n . c o m / e x a m s 8 8 ( ( ͳͶ݁ ݁ି ௧ ఛ / e ֜ ֜ Ͷ Ͷ ͳͶ ͳͶ e ൌ ݁ ݈߬݊͵Ǥ Ǥͷ ͷ ସ ൈ Ͷ Ͷଶ ଶ ൌ ͵ ͵Ǥʹ ʹ ൈ ͳͲ ͵͵ ൈ ൈ ͳͲ ͳͲି ିସ ସ ൈ ൈ ଶ ൌ Ͳ ͲǤ Ǥͷ ͷ ൈ ʹ ʹ ൈ ͳͲ ͳͲି ିସ ସ ൈ Ͳ ֜ ֜ ܮ ܮ ݀݅ ݀݅ ݀ݐ ݀ݐ d u ݑ ݑభ ൌ ֜ ֜ ܥܮଵ ܥ ݀ଶ d ݑ ݑ 3as.ency-education.com
12.
12 1 8 ܶ ൌ ʹߨξܥܮ
֜ ܶ ଶ ൌ Ͷߨଶ ܥܮ ֜ ܮ ൌ ܶ ଶ Ͷߨଶܥ ൌ ͲǤʹଶ Ͷߨଶ ൈ Ͷ ൈ ͳͲିସ ൌ ʹǤͷ͵ܪ 7 7 ( ܪ - - 8 ( ܪܥଷܪܱܱܥ ܱܪି ൌ ܪܥଷܱܱܥି ܪଶܱ 9 ( ܪ ൌ ݂ሺܸሻ 10 ( ( ܪா ൌ ͺǢܸா ൌ ʹͲ݉ܮ 11 (1 ( ܥ ሺܵሻ ሺ ܥܸ ൌ ܥܸா ֜ ܥ ൌ ܥܸா ܸ ൌ ͲǤͲͳ ൈ ʹͲ ʹͲ ൌ ͲǤͲͳ݈݉Ȁܮ 12 ( ( ሺܵሻ ݉ ൌ ܯܸܥ ൌ ͲǤͲͳ ൈ ͲǤͷ ൈ Ͳ ൌ ͲǤ͵݃ - ݉ ൌ ݉ ݉ . - ( ܽܭ ൌ ͶǤͺ ( ܪܥଷܪܱܱܥ ܥܪଶାଵܱܪ ൌ ܪܥଷܥܱܱܥܪଶାଵ ܪଶܱ ܪܥଷܪܱܱܥ ܥܪଶାଵܱܪ ൌ ܪܥଷܥܱܱܥܪଶାଵ ܪଶܱ Ͳ Ͳ ݊ଵ ݊ ݔ ݔ ݊ଵ െ ݔ ݊ െ ݔ ݔ ݔ ݊ଵ െ ݔ ݊ െ ݔ ( ݉ ൌ ͶǤͺ ൈ ͳͲ ൌ Ͷͺ݃ ݊ ൌ ݊ െ ݔ ֜ ݔ ൌ ݊ െ ݊ ֜ ݔ ൌ ܯ െ ݉ ܯ ൌ ͳʹͲ Ͳ െ Ͷͺ Ͳ ൌ ͳǤʹ݈݉ ( ݇ ൌ ʹǤʹͷ ݇ ൌ ݔ ଶ ൫݊ െ ݔ൯൫݊ଵ െ ݔ൯ ֜ ʹǤʹͷ ൌ ͳǤʹଶ ሺʹ െ ͳǤʹሻሺ݊ଵ െ ͳǤʹሻ e n c y - e d u c a t i o n . c o m / e x a m s - 8 ( ܱܱܥ ܱି ܪ ܪଶܱ ܱ ܪ ൌ ൌ ݂ ݂ሺ ሺܸ ܸ ܸ ܸ ܸ ሻ ሻ Ͳ݉ܮ ݉ܮ ܥ ܥ ܥ ܥ ሺܵሻ o ൌ Ͳ ͲǤ ǤͲͳ Ͳͳ݈݉ ݈݉Ȁ Ȁܮ ሺ ሺܵ ܵሻ ሻ ͲǤͷ ൈ Ͳ Ͳ ൌ ൌ Ͳ ͲǤ͵݃ ܪ ܪଷ ଷܪܱܱܥ ܱܱܪ ܥ ܥ ܥ ܪ ܪଶ ܪଷܪܱܱܥ ܪܱܱܥ ܥ ܥ ܥ ܪଶ e d ݊ ݊ e d e d e d e d ݊ ݊ െ െ ݔ ݔ e e e y e ݊ ݊ െ ݔ ݔ y y - c y c y c y 3as.ency-education.com
13.
13 1 8 ֜ ʹǤʹͷ ൌ ͳǤͶͶ ͲǤͺሺ݊ଵ
െ ͳǤʹሻ ֜ ݊ଵ ൌ ʹ݈݉ ݊ଵ ൌ ݉ ܯ ֜ ܯ ൌ ݉ ݊ଵ ൌ ͳͶͺ ʹ ൌ Ͷ݃Ȁ݈݉ ܯ ൌ ͳͶ݊ ͳͺ ֜ ݊ ൌ ܯ െ ͳͺ ͳͶ ൌ Ͷ ܥସܪଽܱܪ ܥ ܪܥଷ െ ܪܥଶ െ ܪܥ െ ܪܥଷ ȁ ܱܪ ܪܥଷܱܱܥ െ ܪܥ െ ܪܥଶ െ ܪܥଷ ȁ ܪܥଷ ( ݎ ൌ ͲǤͳʹ ʹ ൈ ͳͲͲ ൌ ͲΨ - - - ( ܪܥଷܪܱܱܥ ܥܪଶାଵܱܪ ൌ ܪܥଷܥܱܱܥܪଶାଵ ܪଶܱ ͳǤʹ ͳǤʹ ͲǤͺ ͲǤͺ ݊ ൌ ଽ ଵ଼ ൌ ͲǤͷ ݊ ൌ ଷ ସ ൌ ͲǤͷ ܪܥଷܪܱܱܥ ܥܪଶାଵܱܪ ൌ ܪܥଷܥܱܱܥܪଶାଵ ܪଶܱ ͳǤʹ ͲǤͷ ͳǤʹ ͲǤͺ ͲǤͷ ͲǤͺ ܳݎ ൌ ͳǤʹ ൈ ͳǤ ͲǤͺ ൈ ͳǤ͵ ൌ ͳǤͻ ൏ ݇ e n c y - e d u c a t i o n . c o m / e x a m s ൌ ͲΨ Ͳ ܪଷܪܱܱܥ ܱܱܪ ܥ ܥ ܥ ܥ ܥ ܪ ܪଶ d ͲǤ Ǥͺ ͺ e d e d e d e e d e e c c c 3as.ency-education.com
14.
14 1 8 13 06 ݐ ൌ Ͳ ሺͳሻ ሺ 1 ( 2 ( ݑ ݑோ
ݑ ൌ ܧ ֜ ܴ݅ ݑ ൌ ܧ ֜ ܴ ݀ݍ ݀ݐ ݑ ൌ ܧ ֜ ܴ ݀ሺݑܥሻ ݀ݐ ݑ ൌ ܧ ֜ ܴܥ ݀ݑ ݀ݐ ݑ ൌ ܧ 3 ( ܣ ܣ ܤ ܤ ߙ ݑ ൌ ܣ ݁ܤఈ௧ ݀ݑ ݀ݐ ൌ ݁ߙܤఈ௧ ֜ ܴܥ ݀ݑ ݀ݐ ݑ ൌ ܧ ֜ ܴ݁ߙܤܥఈ௧ ܣ ݁ܤఈ௧ ൌ ܧ ֜ ݁ܤఈ௧ሺܴߙܥ ͳሻ ܣ െ ܧ ൌ Ͳ ֜ ቄ݁ܤఈ௧ሺܴߙܥ ͳሻ ൌ Ͳ ܣ െ ܧ ൌ Ͳ ֜ ቄ ܴߙܥ ͳ ൌ Ͳ ܣ ൌ ܧ ֜ ൝ࢻ ൌ െ ࡾ ൌ ࡱ ݐ ൌ Ͳ ֜ ݑ ൌ Ͳ ֜ Ͳ ൌ ܣ ݁ܤ ֜ Ͳ ൌ ܣ ܤ ֜ ൌ െ ൌ ࡱ 4 ( ݑோሺݐሻ ݑோ ݑ ൌ ܧ ֜ ݑோ ൌ ܧ െ ݑ ൌ ܧ െ ܧሺͳ െ ݁ఈ௧ሻ ֜ ݑோ ൌ ܧ െ ܧ ݁ܧఈ௧ ֜ ݑோ ൌ ݁ܧఈ௧ ௨ ௨ೃ ൌ ݁ ഓ െ ͳ ݑ ݑோ ൌ ܧ ൬ͳ െ ݁ି ௧ ఛ൰ ݁ܧି ௧ ఛ ൌ ͳ െ ݁ି ௧ ఛ ݁ି ௧ ఛ ൌ ݁ ௧ ఛ െ ͳ 5 ( 5 6 6 ܧ ܴ ߬ ߬ ܥ ܥ ܧ ൌ ͳʹܸ ܫ ൌ ܧ ܴ ֜ ܴ ൌ ܧ ܫ ൌ ͳʹ ͲǤͲͳʹ ൌ ͳͲͲͲȳ ݐ ൌ ߬ ֜ ݑ ݑோ ൌ ݁ି ௧ ఛ െ ͳ ൌ݁ଵ െ ͳ ൌ ͳǤ ߬ ൌ ͲǤͲͶݏ e n c y - e d u c a t i o n . c o m / e x a m s 1 1 ( ( 2 ( ( ݑ ൌ ൌ ܧ ܧ ֜ ֜ ܴ ܴ ݀ݍ ݀ ݀ݐ x ܴ ݀ሺݑ ݑ ܥ ܥሻ ሻ ݀ݐ ݀ݐ m / ݑ ݑ ൌ ݁ܤఈ௧ ݀ݐ o ൌ ߙܤ ݁ߙܤఈ௧ ఈ௧ ܣ ܣ ܤ ܤ݁ ݁ఈ௧ ఈ௧ ൌ ܧ ߙ ͳ ͳሻ ሻ ൌ ൌ Ͳ Ͳ ൌ Ͳ Ͳ ֜ ֜ ቄ ܴ ݑ ൌ ൌ Ͳ Ͳ ֜ ֜ Ͳ Ͳ ൌ ܣ ݑ ݑோ ோ ݑ ݑ ൌ ܧ ֜ 3as.ency-education.com
15.
15 1 8 ߬ ൌ ܴܥ
֜ ܥ ൌ ߬ ܴ ൌ ͲǤͲͶ ͳͲͲͲ ൌ Ͷ ൈ ͳͲିହ ܨ ሺʹሻ 1 ( 2 ( ݍሺݐሻ ݑ ݑ ൌ Ͳ ֜ ܮ ݀݅ ݀ݐ ݅ݎ ݍ ܥ ൌ Ͳ ֜ ܮ ݀ଶ ݍ ݀ݐଶ ݎ ݀ݍ ݀ݐ ݍ ܥ ൌ Ͳ ֜ ݀ଶ ݍ ݀ݐଶ ݎ ܮ ݀ݍ ݀ݐ ݍ ܮܥ ൌ Ͳ ( ܶ ൌ ͲǤͲͶݏ ܶ ൎ ʹߨξܥܮ ֜ ܶଶ ൌ Ͷߨଶ ܥܮ ֜ ܮ ൌ ܶଶ Ͷߨଶܥ ൌ ͲǤͲͶଶ Ͷߨଶ ൈ Ͷ ൈ ͳͲିହ ൌ ͳܪ ( ܿܧ௫ ൌ ͳ ʹ ܧܥଶ ൌ ͲǤͷ ൈ Ͷ ൈ ͳͲିହ ൈ ͳʹଶ ൌ ʹǤͺͺ ൈ ͳͲିଷ ݆ ( ݐ ൌ ܶ ݐ οܧ ൌ ܿܧ௫ െ ܿܧሺݐሻ ൌ ܿܧ௫ െ ͳ ʹ ൈ ݍଶ ܥ ൌ ʹǤͺͺ ൈ ͳͲିଷ െ ͲǤͷ ൈ ሺ͵ǤͺͶ ൈ ͳͲିସሻଶ Ͷ ൈ ͳͲିହ ൌ ͳǤͲ͵ ൈ ͳͲିଷ ݆ ( ܫ ܿܧ௫ ൌ ܧೌೣ ֜ ܿܧ௫ ൌ ͳ ʹ ܫܮ ଶ ֜ ܫ ൌ ඨ ʹܿܧ௫ ܮ ൌ ඨ ʹ ൈ ʹǤͺͺ ൈ ͳͲିଷ ͳ ൌ ͲǤͲͷܣ 04 4 ( ሺሻ ሺ - ሺܵሻ σ ܨ Ԧ ൌ ݉ܽ Ԧ ֜ ܲ ሬԦ ܴ ሬԦ ݂ Ԧ ൌ ݉ܽ Ԧ ֜ െ݉݃ߙ݊݅ݏ െ ݂ ൌ ݉ܽ ֜ ܽ ൌ െ݃ߙ݊݅ݏ െ ݂ ݉ ݒ ൌ ܽݐ ݒ ݔ ൌ ܽ ʹ ݐଶ ݒݐ ݒ ଶ െ ݒ ଶ ൌ ʹܽ ൈ ܤܣ ݒ ൌ ܽݐ ݒ ֜ ݐ ൌ ݒ െ ݒ ܽ ݔ ൌ ܽ ʹ ݐଶ ݒݐ ֜ ݔ ൌ ܽ ʹ ቀ ݒ െ ݒ ܽ ቁ ଶ ݒ ቀ ݒ െ ݒ ܽ ቁ ֜ ݔ ൌ ܽ ʹ ݒଶ ݒ ଶ െ ʹݒݒ ܽଶ ݒݒ െ ݒ ଶ ܽ ֜ ݔ ൌ ݒଶ ݒ ଶ െ ʹݒݒ ʹܽ ʹݒݒ െ ʹݒ ଶ ʹܽ 2 e n c y - e d u c a t i o n . c o m / e x a m s ( ( ( ܪ ͳͲ Ͳି ିଷ ݆ ݆ ͲǤͷ ͷ ൈ ൈ ሺ ሺ͵ ͵Ǥ ǤͺͶ Ͷ ൈ ൈ ͳͲି Ͷ Ͷ ൈ ͳ o m ൌ ඨ ඨ ʹܿܧ ܿܧ௫ ܮ n c ൌ ൌ ඨ ඨ ʹ ൈ c c y - e d u c 3as.ency-education.com
16.
16 1 8 ֜ ݔ ൌ ݒଶ െ
ݒ ଶ ʹܽ ֜ ʹܽݔ ൌ ݒଶ െ ݒ ଶ ֜ ݒ ଶ െ ݒ ଶ ൌ ʹܽ ൈ ܤܣ 5 ( - ሺݔܤሻ ሺݕܤሻ ሺݔܤሻ ሺ ሺݕܤሻ ሺ Ͳ ݐ ͺͷ݉ݏ ͺͷ݉ݏ ݐ ͵ͶͲ݉ݏ σ ܨ Ԧ ൌ ݉ܽ Ԧ ֜ ܲ ሬԦ ൌ ݉ܽ Ԧ ֜ ݃ Ԧ ൌ ܽ Ԧ ֜ ൜ ܽ௫ ൌ Ͳ ܽ௬ ൌ െ݃ ֜ ൜ ݒ௫ ൌ ݒ …‘• ߙ ݒ௬ ൌ െ݃ݐ ݒ •‹ ߙ ֜ ൝ ݔ ൌ ݒ …‘• ߙ ݐ ݕ ൌ െ ͳ ʹ ݃ݐଶ ݒ •‹ ߙ ݐ ݐ ൌ ௫ ௩ಳ ୡ୭ୱ ఈ ݔ ൌ ݒ …‘• ߙ ݐ ֜ ݕ ൌ െ ͳ ʹ ݃ ൬ ݔ ݒ …‘• ߙ ൰ ଶ ݒ •‹ ߙ ൬ ݔ ݒ …‘• ߙ ൰ ֜ ݕ ൌ െ ݃ݔଶ ʹݒ ଶܿݏଶߙ ݊ܽݐ ߙ ݔ - ݒ௫ ൌ ο௫ ο௧ ൌ Ǥସି Ǥଵି ൌ ʹǤ͵ͷ݉Ȁݏ ݒ௬ ൌ ͲǤͺͷͷ݉Ȁݏ –ƒ ߙ ൌ ݒ௬ ݒ௫ ൌ ͲǤͺͷͷ ʹǤ͵ͷ ൌ ͲǤ͵͵ ֜ ߙ ൌ ͳͻǤͻ ൎ ʹͲι ݒ ൌ ඥݒ௫ ଶ ݒ௬ ଶ ൌ ξʹǤ͵ͷଶ ͲǤͺͷͷଶ ൌ ʹǤͷ݉Ȁݏ - ܦܣ ܣ ܦܣ ൌ ߙ݊݅ݏܤܣ ݔ ൌ ͳǤʹ ൈ Ͳʹ݊݅ݏ ͲǤͺ ൌ ͳǤʹͳ݉ ݕ ൌ ͲǤͲͺͷ ൈ ͲǤͺͷͷ ʹ ͳǤʹͲʹ݊݅ݏ ൌ ͲǤͶͶ݉ 6 ( ܽ ܽ ሺܵሻ ሺܤܣሻ ݒ . ܽ ൌ െ݃ߙ݊݅ݏ െ ݂ ݉ ൌ െͻǤͺ ൈ Ͳʹ݊݅ݏ െ ͲǤͺ ͲǤʹ ൌ െǤ͵ͷ݉Ȁݏଶ ݒ ଶ െ ݒ ଶ ൌ ʹܽ ൈ ܤܣ ֜ ݒ ଶ െ ʹܽ ൈ ܤܣ ൌ ݒ ଶ e n c y - e d u c a t i o n . c o m / e x a m s ݒ •‹ ߙ ߙ ݐ ݐ ݐ ݐ ൌ ൌ ௫ ௩ …‘• ‘• ߙ ݐ ݐ ֜ ֜ ൬ ݔ ݒ …‘• …‘• ߙ ߙ a t i ൰ ൰ ଶ ଶ ݒ • ֜ ݕ ݕ ൌ െ െ ݃ݔଶ ʹݒ ଶ c a –ƒ –ƒ ߙ ߙ ൌ ݒ ݒ ൌ 3as.ency-education.com
17.
17 1 8 ֜ ݒ ଶ ൌ ʹǤͷଶ
ʹ ൈ Ǥ͵ͷ ൈ ͳǤʹ ֜ ݒ ൌ ͶǤͺͺ݉Ȁݏ 7 II . - ሺܱݔ ܴ݁݀ Τ ሻ ݈ܣଷା ݈ܣ Τ ܣ ܪଷܱା ܪଶ Τ ܪ - ʹ݈ܣሺ௦ሻ ܪଷܱା ሺሻ ൌ ʹ݈ܣଷା ሺሻ ͵ܪଶሺሻ ܪଶܱሺሻ Ͳ Ͳ ݊ଶ ݊ଵ ͵ݔ ʹݔ ݊ଶ െ ݔ ݊ଵ െ ʹݔ ͵ݔ ʹݔ ݊ଶ െ ݔ ݊ଵ െ ʹݔ ݔ௫ ܸுమ ܸெ ൌ ͵ݔ ֜ ݔ ൌ ܸுమ ͵ܸெ ൌ ͲǤ͵ ͵ ൈ ʹͶ ൌ ͷ ൈ ͳͲିଷ ݈݉ ܪଷܱା ݊ଶ െ ݔ ൌ ܸܿ െ ݔ ൌ ͲǤʹ ൈ ͲǤʹ െ ൈ ͷ ൈ ͳͲିଷ ൌ ͲǤͲͳ ് Ͳ ܪଷܱା - ݊ଵ െ ʹݔ ൌ Ͳ ֜ ݊ଵ ൌ ʹݔ ൌ ʹ ൈ ͷ ൈ ͳͲିଷ ൌ ͲǤͲͳ݈݉ ݊ଵ ൌ ݉ ܯ ֜ ݉ ൌ ݊ܯ ൌ ͲǤͲͳ ൈ ʹ ൌ ͲǤʹ݃ - ܲ ൌ ݉ ݉ ൈ ͳͲͲ ൌ ͲǤʹ ͲǤ͵ ൈ ͳͲͲ ൌ ͻͲΨ - ݐଵ ଶ Τ ൌ ͵Ǥͷ݉݅݊ - ݒ ൌ ݀ݔ ݀ݐ ൌ ݀ ൬ ܸுమ ͵ܸெ ൰ ݀ݐ ൌ ͳ ͵ܸெ ൈ ܸ݀ுమ ሺݐሻ ݀ݐ ݐ ൌ ͳͲ݉݅݊ ݐ ݒ ൌ ͳ ͵ܸெ ൈ ܸ݀ுమ ሺݐሻ ݀ݐ ൌ Ǥʹͷ ൈ ͳͲିହ ݈݉Ȁ݉݅݊ III . 6 ( 7 ( ሺܪଷܱା ݈ܥିሻ ሺ ሺܰܽା ܱܪି ሻ ܪଷܱା ܱܪି ൌ ܪଶܱ e n c y - e d u c a t i o n . c o m / e x a m s - - e e e ݔ௫ ͳͲିଷ ଷ ݈݉ ݈݉ ൈ ͷ ͷ ൈ ൈ ͳͲି ିଷ ଷ ൌ Ͳ ʹݔ ݔ ൌ ൌ ʹ ʹ ൈ ൈ ͷ ͷ ൈ ͳͲ ݉ ܯ a ֜ ֜ ݉ ݉ ൌ ൌ ݊ܯ ݊ܯ ൌ ܲ ܲ ൌ ൌ ݉ ݉ ݉ ݉ u c ൈ ͳ 3as.ency-education.com
18.
18 1 8 ܭ ൌ ͳ ሾܪଷܱାሿሾܱܪିሿ ൌ ͳ ݁ܭ ൌ ͳͲଵସ 8 ( ܪ
ൌ Ǣܸா ൌ ʹͲ݉ܮ 9 ( ܥ ܥܸ ൌ ܥܸா ֜ ܥ ൌ ͲǤͲͳ ൈ ʹͲ ʹͲ ൌ ͲǤͲͳ݈݉Ȁܮ 10 ( ݔ௫ ݔ ݊ ൌ ݊ଶ െ ݔ௫ ֜ ݔ௫ ൌ ݊ଶ െ ݊ ൌ ܸܿ െ ͷܥܸ ൌ ͲǤʹ ൈ ͲǤʹ െ ͷ ൈ ͲǤͲͳ ൈ ͲǤʹ ֜ ݔ௫ ൌ ͷ ൈ ͳͲିଷ ݈݉ ݔ௫ ݔ e n c y - e d u c a t i o n . c o m / e x a m s 8 ( 9 9 ( ( ( ͷ ൈ ͲǤͲͳ Ͳͳ ൈ ൈ Ͳ ͲǤ Ǥʹ ʹ e x 3as.ency-education.com