Page 30 - 技數學 B 升學跨越講義

數學 B

綜合模擬測驗

一 . 基本題

( ) 1. ʊٝᅰᇞɪՇᓃ A(2x + 1)dB(4x - 1)d߰ B ᓃί A ᓃ̛ᗙd˲ᇞݬ AB ڗމ 3dۆ
ᓃ A ѬᅺމОkc(A) A(-4)c(B) A(-6)c(C) A(6)c(D) A(4)f

( ) 2. တԑʔഃό | 2x - 4 | $ 6 ʘ༆މОkc

(A) x $ 5 א x # -5c(B) -5 # x # 5c(C) -1 # x # 5c(D) x $ 5 א x # -1f

( ) 3. တԑʔഃό | 3 - x | < 1 ʘ༆˸ਜගڌͪމОkc
(A) (-4 , -2)c(B) (-2 , 4)c(C) (2 , 4)c(D) (4 , 2)f

( ) 4. ʊٝ b > 0dண | 2x + a | # b ʘ༆ණΥމ {x | 2 # x # 6}dۆ (a , b) ʘ࠽މОkc

(A) (-8 , -4)c(B) (-4 , 8)c(C) (-8 , 4)c(D) (4 , -8)f

( ) 5. ߰ᓃ A(a + b , a) ίୋɚ൥ࠢdۆᓃ P(ab , b) ίୋ఻൥ࠢkc
(A) ɓc(B) ɚc(C) ɧc(D) ̬f

( ) 6. ίٜԉѬᅺ̻ࠦɪd߰ᓃ P(a - b , ab) ίୋ̬൥ࠢdۆᓃ Q(a , b) ᙮׵ୋ఻൥ࠢk

(A) ɓc(B) ɚc(C) ɧc(D) ̬f

( ) 7. ʊٝ A(3 , -5)eB(2 , 1) މ̻ࠦɪʘՇᓃdۆ AB ൷ᕎމОkc

(A) 13 c(B) 17 c(C) 37 c(D) 65 f

( ) 8. ʊٝɧԉҖ DABC ɧ௟ᓃѬᅺމ A(2 , 1)eB(3 , -1)eC(4 , 0)dۆϤɧԉҖ௰ҁ዆
ٙ౜ࠑމОkc

(A) ഃ໐ɧԉҖc(B) ഃᗙɧԉҖc(C) ٜԉɧԉҖc(D) ഃ໐ٜԉɧԉҖf

( ) 9. ʊٝ A(0 , 3)eB(k + 1 , 5)eC(-4 , 1) މ̻ࠦɪɧᓃdB ᓃίୋɚ൥ࠢd˲ AB ʘڗ

ܓഃ׵ AC ʘڗܓdۆ k = kc(A) 3c(B) -5c(C) -4c(D) 2f
( ) 10. ̻ࠦɪՇᓃ A(5 , -1)dB(3 , 4)f߰ C ᓃί y ൿɪd˲တԑ AC = BCdۆ C ᓃѬᅺ

1 1 1 1
މОkc(A) (0 , - )c(B) (0 , - )c(C) (0 , )c(D) (0 , )f
10 15 15 10

( ) 11. ʊٝ P(3 , -14)dQ(-5 , 2) Շᓃd߰ R ! PQ ˲ PR = 3RQdۆ R ᓃʘѬᅺމОkc
(A) (3 , -7)c(B) (-3 , -2)c(C) (3 , -9)c(D) (6 , -14)f

( ) 12. ʊٝ A(-5 , 3) ၾ B(1 , 9)d߰ᓃ P(x , y) ίᇞݬ AB ʘɪd˲ ABjPB = 3j2dۆᓃ
P ၾᓃ C(-2 , 4) ٙ൷ᕎމОkc(A) 5 c(B) 3 c(C) 2 c(D) 1f

( ) 13. ̻ࠦɪ AeBeC ɧᓃ΍ᇞ˲ A - B - Cdʊٝ A(-4 , 7)eB(2 , -1)eC(x , y)d˲

ABjBC = 2j1dۆ x + y = kc(A) -1c(B) 0c(C) 1c(D) 2f

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