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第五十一期“學生智慧擂臺”優秀作業(育才小學東區校三年級)
作者: 點擊數:119 更新時間:2019年6月20日 文章錄入:育才小學東區校
   

1.答:條件,兩人生日之和是38,都在同一個月內,且都是在星期三,所以差是7的倍數,根據推算在同一個月內只有有2612,即12+26=38,(26-12/7=2。小雨的生日在爸爸的后面,所以,爸爸的生日是912日,小雨的生日926日。

 

2.答:條件,大正形面積是小正形面積的4倍,所以根據面積公式,大正方形的邊長與小正形的邊長之比為21,兩個小正方形的周長為1X*4*2=8X,兩個大正方形的周長為2X*4*2=16X,四個正方形的周長之和是240厘米,8X+16X=240,X=10,根據倍數關系,所以小正方形的邊長為10厘米,大正方形的邊長為20厘米,陰影部分長方形的面積就是20*10=200平方厘米即是。

                                    育才小學東區校三(3)班   尤彥澤

 

 

 

1.答:這個題目可是難不倒我的,小雨的生日跟爸爸的生日如果都是在同一個月的星期三,就說明他們之間可能相差7天、14天、21天(因為9月最多30天,不可能有更大的數了)。如果我們把相差的天數減去的話,不就是相當于他們是在同一天生日啦。這樣就可以很快的算出來了。

假設相差7天,(38-7)÷2=15……1,有余數說明錯誤

假設相差21天,(38-21)÷2=8……1,有余數說明錯誤

假設相差14天,(38-14)÷2=12,說明爸爸的生日是12號,那小雨的生日就是12+14=26號。 小雨的生日是926號,爸爸的生日是912號。

2.答:乍一看這個題目,覺得好難,想了好半天都不知道怎么做,媽媽在旁邊提點了一下,哈哈,我就豁然開朗了,原來其實如此簡單的呀。

眾所周知,一個正方形的周長是等于邊長*4,這四個正方形我們把它分成兩個小正方形和兩個大正方形,那四個正方形的周長和=小正方形邊長*4*2+大正方形邊長*4*2=小正方形邊長*8+大正方形邊長*8

現在四個正方形周長和是240厘米,那小正方形邊長+大正方形邊長=240÷8=30厘米。

正方形的面積=邊長*邊長,而大正方形面積是小正方形面積的4倍,所以大正方形的邊長是小正方形邊長的2倍。我們就可以算出小正方形的邊長=30÷3=10厘米,則大正方形的邊長是10*2=20厘米。

大正方形的邊長是陰影部分長方形的長,小正方形的邊長是陰影部分長方形的寬,則長方形的面積=20*10=200平方厘米。

做完之后,我就坐在那沾沾自喜,媽媽見了過來對我說,這條題目其實還可以有另一種思路,我們可以假設為等份帶入進去做,可以把小正方形的邊長假設為一等份,我自己又思索了一小會,在媽媽的講解下終于又做出了另一種方法。

正方形的面積=邊長*邊長,而大正方形面積是小正方形面積的4倍,所以大正方形的邊長是小正方形邊長的2倍。小正方形邊長假設為1等份,則大正方形邊長就是2等份,我們算出兩個小正方形周長和=1等份*4*2=8等份,兩個大正方形的周長和=2等份*4*2=16等份,四個正方形周長和=8+16=24等份。因為知道四個正方形周長和是240厘米,所以知道1等份=240÷24=10厘米,小正方形邊長是10厘米。大正方形邊長是20厘米。

大正方形的邊長是陰影部分長方形的長,小正方形的邊長是陰影部分長方形的寬,則長方形的面積=20*10=200平方厘米。

                                   育才小學東區校三(3)班    陳睿哲

 

 

19月小,所以9月總計30天。

2、兩人都在星期三。說明兩人的身日日期的間隔最小為1個星期(7天),2個星期(14天),3個星期(21天),最大可能為4個星期(28天)。


根據小雨的生日在爸爸后面可知。小雨的生日日期比爸爸的日期大。

根據他倆生日日期之和38、以及第23條的條件可知。爸爸+小雨=38并且小雨-爸爸要能被7整除。

根據以上4個條件綜合分析將兩人日期間隔天數分別代入線段法計算。

38-7=31      31÷2=15……1 (排除)

38-14=24     24÷2=12(日)    38-12=26(日)

    12+26=38(符合)  26-12=14(符合)  14÷7=2(符合)

38-21=17      17÷2=8……1  (排除)

38-28=10       10÷2=5(日) 38-5=33(日) (超出9月的天數,排除)

答:爸爸的生日分別是9月的12日、小雨的生日剛好是9月的26日。如


2.解題思路:根據題目以及圖1知道,大正方形面積是小正方形面積的4倍,如圖2將大正方形平均分割成4個小正方形。由圖2直接可以看出大正方形的邊長是小正方形邊長的2倍。


由此列式:     4×2=8                            

8×2=16

算出總計的邊數:  16+8=24

240÷24=10(厘米)

10×2=20(厘米)

20×10=200(平方厘米)

答:陰影部分的長方形面積為200平方厘米。

                                      育才小學東區校三(3)班   曹宇辰

 

 

1.答:因為小雨和爸爸的生日都是星期三,所以兩人的生日相差的天數是7的倍數;

經檢驗,只有2612的差即26-12=147的倍數,同時符合26+12=38

所以小雨的生日是926日,爸爸是912

2.答:

                    240÷4÷2=30(厘米)

     小正方形邊長:  30÷(2+1)=10(厘米)

     大正方形邊長:  10×2=20(厘米)

                    10×20=200(平方厘米)

           答:陰影部分的長方形面積是200平方厘米。

                                         育才小學東區校三(4)班   尤佳宜

 

   
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