國中二上數學.

2015-03-01 4:12 am
1 ( )2x平方+x可因式分解成下列哪一式?
(A)2x(x+1) (B)2(x平方+x)
(C)x(x+1)  (D)x(2x+1)
2( )計算根號5分之4×根號2分之根號10=?
(A)根號2 (B)根號5 (C)2 (D)5
3( )展開並化簡-3分之2x(3x-12)會得到哪一個多項式?
(A)-x平方+8x  (B)-2x平方+8x
(C)-2x平方-8x (D)-3x平方-12x
4( )計算2x平方-3x+5-(-x平方+3x+2),所得多項式的各項係數總和是多少? (A)-6 (B)0 (C)6 (D)12
5 ( )下列何者不是完全平方式?
(A)x平方+6x+9 (B)4x平方-4x+1
(C)9x平方-24x+16 (D)3x平方-18x+9
6( )求69又3分之2×70又3分之1之值,其結果與下列何者相等?
(A)70平方-9分之1 (B)70平方-9分之4
(C)69平方+9分之1 (D)69平方+9分之4
7( )根號7×根號7×根號7=?(A)7(B)3根號7(C)7根號7(D)49
8 ( )若根號2+3分之a=3,則a=?(A)3(B)9(C)21(D)-33
9( )解0.1x平方+0.2x-0.3=0,則x=?
(A)0.1或-0.3 (B)0.3或-0.1
(C)1或-3   (D)3或-1
10( )下列哪一個多項式是5(x-3)平方-4x(x-3)的因式?
(A)x-15 (B)1-x (C)4x-3 (D)5-4x
11( )下列各式中,哪一式是4x平方-9的因式?
(A)3x+1 (B)2-3x (C)2x+3 (D)4x+9
12. ( )下列何者為最簡根式?
(A)8分之根號5 (B)根號8分之5 (C)5分之根號8

回答 (3)

2015-03-01 6:10 am
✔ 最佳答案

1.
2x² + x
= x(2x + 1) ...... 答案選 (D)


====
2.
√(4 / 5) × (√10 / √2)
= (√4 / √5) × (√10 / √2)
= √40 / √10
= √4
= 2 ...... 答案選 (C)


===
3.
(-2x/3)(3x - 12)
= (-2x/3)(3x) + (-2x/3)(-12)
= -2x² + 8x ...... 答案選 (B)


====
4.
2x² - 3x + 5 - (-x² +3x + 2)
= 2x² - 3x + 5 + x² -3x - 2
= 3x² - 6x + 3

係數和
= 3 - 6 + 3
= 0 ...... 答案選 (B)


====
5.
(A) x² + 6x + 9 = (x + 3)²
(B) 4x² - 4x + 1 = (2x - 1)²
(C) 9x² - 24x + 16 = (3x - 4)²
(D) 3x² - 18x + 9 = 3(x² -6x + 3) ...... 答案選 (D)


====
6.
(69又2/3) × (70又1/3)
= [70 - (1/3)] × [70 + (1/3)]
= 70² - (1/3)²
= 70² - (1/9) ...... 答案選 (A)


====
7.
√7 × √7 × √7
= √49 × √7
= 7 × √7
= 7√7 ...... 答案選 (C)


====
8.
√[2 + (a/3)] = 3
2 + (a/3) = 9
a/3 = 7
a = 21 ...... 答案選 (C)


====
9.
15.
0.1x² + 0.2x - 0.3 = 0
10(0.1x² + 0.2x - 0.3) = 0
x² + 2x - 3 = 0
(x - 1)(x + 3) = 0
x = 1 或 x = -3 ...... 答案選 (C)


====
10.
5(x - 3)² - 4x(x - 3)
= (x - 3) [5(x - 3) - 4x]
= (x - 3) [5x - 15 - 4x]
= (x - 3)(x - 15) ...... 答案選 (A)


====
11.
4x² - 9
= (2x)² - 3²
= (2x + 3)(2x - 3) ...... 答案選(C)


====
12.
(A) √5 / 8 不能化簡 ...... 答案選 (A)omrhomr
(B) 5 / √8 = 5√8 / 8 = 5(2√2) / 8 = 5√2 / 4
(C) √8 / 5 = 2√2 / 5
2015-03-01 4:45 am
第7題是(B)7根號7

若是根號7+根號7+根號7就會是3根號7
2015-03-01 4:38 am
1 (D)x(2x+1)
2 (C)2
3 (B)-2x平方+8x
4 (B)0
5 (D)3x平方-18x+9
6 (A)70平方-9分之1
7 (B)3根號7
8 (C)21
9 (C)1或-3
10 (A)x-15
11 (C)2x+3
12 (A)8分之根號5
參考: me


收錄日期: 2021-04-15 18:25:18
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20150228000015KK04138

檢視 Wayback Machine 備份