切換到寬版
  • 2115閱讀
  • 4回復

F.1至F.2MATHS問題.. [複製鏈接]

上一主題 下一主題
離線大俠.傑
 
發帖
204
icash
255
威望
189
只看樓主 倒序閱讀 使用道具 樓主   發表於: 2008-08-24
— 本帖被 chy2003 從 家 課 交 流 移動到本區(2009-10-31) —
以下有7條問題 希望大家可以寫埋條式比我  

1. If the two adjacent sides of a square measure Xcm and (2X-3)cm respectively, find the perimeter of the square.

2.The cost of tea A is $30 per kg, the cost of tea B is $20per kg. If w kgof tea A and (w+1)kg of tea B are mixed together, and the cost of the
mixed tea is$24 per  kg. Find w.

3.The electricity bill of Mary's family in August was $560. If in the next two consecutive months, the use of electricity is less than each previous month by 15%, find the electricity bill of Mary's family in October.(Give the answer correct to the nearst integer.)

4. Last month, there were 30 male students and 20 female students in the chess class. The no. of male students increases by r% and the
no. of female students are the same in this month, find r.

5.Two shops sell the smae brand of chocolate at the same price. Today they both cut down its price. Shop A lowers the price by 30%, and
increases by 30%after a week. Likewise, shop B lowers its price by 40%, and increases by 40% after a week . Are the prices of the chocolate at the two shops still the same after a week?

6. Find the distance between P(-4, -3)& Q(3, -3)

7. If the area of triangle PQR is 21 sq. units, and the coordinates of R are (4, k), find the two possible values of k.
離線bon1

發帖
2414
icash
0
威望
1345
只看該作者 1樓  發表於: 2008-08-24
1. If the two adjacent sides of a square measure Xcm and (2X-3)cm respectively, find the perimeter of the square.
( 這裡有點不明白,square 的邊長竟然是不相同的嗎 -.- ,但儘管計算 )

X+X+2X-3+2X-3

= 6X-6

=6(X-1)     [ 可能有錯 ]

2.The cost of tea A is $30 per kg, the cost of tea B is $20per kg. If w kgof tea A and (w+1)kg of tea B
are mixed together, and the cost of the mixed tea is$24 per  kg. Find w.
$30 / kg × w kg + $20 / kg × (w+1) kg = $24

                        $30 w + $20 w + $20    =  $24

                                                    $50 w  =  $4

                                                              w  =  0.08

3. The electricity bill of Mary's family in August was $560. If in the next two consecutive months, the use of electricity is less than each previous month by 15%, find the electricity bill of Mary's family in October.(Give the answer correct to the nearst integer.)

                    $560 × (1-85%) ^2
         
                  = $405 ( correct to neatest integer)

5.Two shops sell the smae brand of chocolate at the same price. Today they both cut down its
price. Shop A lowers the price by 30%, and increases by 30% after a week. Likewise, shop B lowers its price by 40%, and increases by 40% after a week . Are the prices of the chocolate at the two shops still the same after a week?

                  let the price of the chocolate in shop A be 100a

          = ( 100a  × 70% )  × 130%
                     
          = 91a
   
                let the price of the chocolate in shop B be 100b

          = ( 100b × 60% ) × 140%

          = 84a

∴  The prices of the chocolate at the two shops are not the same


6. Find the distance between P(-4, -3)& Q(3, -3)

Distance : 3- (-4)

                = 7

7. If the area of triangle PQR is 21 sq. units, and the coordinates of R are (4, k), find the two
possible values of k.

                  1 / 2  ( 4 × k )  = 21
       
                                  4 k    = 42
             
                                      k    =  10.5

Possible values of k: 10.5 , -10.5
1條評分
(:
離線~瘋人~

發帖
5728
icash
14689
威望
3162
只看該作者 2樓  發表於: 2008-08-25
引用第1樓bon1於2008-08-24 23:25發表的 :
1. If the two adjacent sides of a square measure Xcm and (2X-3)cm respectively, find the perimeter of the square.
( 這裡有點不明白,square 的邊長竟然是不相同的嗎 -.- ,但儘管計算 )
X+X+2X-3+2X-3
.......


第一題目的是先要找x的value


    x = 2x-3 (definition of square)
   0 = x-3
   x  = 3

然後perimeter就是3x4=12 cm

第三題

  $560 × (1-85%) ^2
         
                  = $405 ( correct to neatest integer)

紅色部分打錯了- -

其實我完全不明白第七題
又無給另外2個 points 的 coordinates
為啥 k 會受限制- -??
是否漏了圖或其他資料??
1條評分
離線牙然

發帖
2674
icash
24405572
威望
1725
只看該作者 3樓  發表於: 2008-08-25
引用第2樓~瘋人~於2008-08-25 00:37發表的  :
第一題目的是先要找x的value

.......

也許第7題的P和Q就是第六題的P和Q



引用第1樓bon1於2008-08-24 23:25發表的  :
2.The cost of tea A is $30 per kg, the cost of tea B is $20per kg. If w kgof tea A and (w+1)kg of tea B
are mixed together, and the cost of the mixed tea is$24 per  kg. Find w.
$30 / kg × w kg + $20 / kg × (w+1) kg = $24

                        $30 w + $20 w + $20    =  $24

                                                    $50 w  =  $4

                                                              w  =  0.08

$24是每公斤的價錢
30w + 20(w+1) 總共有 (2w+1) 公斤
所以
30w + 20(w+1) = 24(2w+1)
50w + 20 = 48w + 24
2w = 4
w = 2

瘋人也看不到
[ 此帖被牙然在2008-08-25 11:51重新編輯 ]
1條評分
我不想飛翔,只是沒有立足的地方。
離線bon1

發帖
2414
icash
0
威望
1345
只看該作者 4樓  發表於: 2008-08-25
如果 (七) 是接著 (六) 的話

那可以是:

1條評分
(:
快速回復
限100 字節
 
上一個 下一個