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SAT數(shù)學(xué)之文字題解題案例分析

2017-08-17

來(lái)源:互聯(lián)網(wǎng)

小編:天空 595
摘要:

  今天我們便來(lái)細(xì)看一下文字題到底該如何解答,大體的原則是從后往前讀,而不是從前往后讀

  文字題讀什么?

  1.question

  2.圖表 橫縱坐標(biāo)表示變量以及單位度量

  3.題目中的數(shù)字,比較關(guān)系,倍數(shù)關(guān)系

  4.單位換算以及四舍五入

  來(lái)兩個(gè)例子~~~

  Typically, when people contract an infectious disease, their immune system immediately begins to produce extra white blood cells to fight the disease. The scatterplot shows the white blood cells reproducing in an infected patient, along with several values found when modeling the data using a graphing calculator. According to this model, how many white blood cells per microliter of blood did the patient have before he contracted the disease?

  (A) 3,400

  (B) 8,500

  (C) 10,000

  (D) 13,600

“SAT數(shù)學(xué)練習(xí)題”

  分析:?jiǎn)栴}是:contract the disease 前對(duì)應(yīng)的white blood cells per microliter of blood數(shù)量,所以應(yīng)該求t = 0 時(shí)Blood cell數(shù)量。圖表反應(yīng)的是:感染病人體內(nèi)white blood cells同hour的變化關(guān)系,呈現(xiàn)上升趨勢(shì),并且縱坐標(biāo)單位為thousands per mcl。結(jié)合上升趨勢(shì)以及table中給出數(shù)據(jù)判斷出為exponential growth model,每過(guò)一個(gè)小時(shí)白細(xì)胞數(shù)量變成原來(lái)兩倍。此題特殊之處在于原點(diǎn)并非t = 0 時(shí)對(duì)應(yīng)的初始值,所以還要往前推。t = 4, y = 136,所以t = 3, y = 68依次推得:t = 0 , y = 8.5 結(jié)合縱軸單位度量,答案為8500。

  所以此題結(jié)合問(wèn)題以及圖示就可以得出答案,不需要重讀前面的背景部分。

  An occupational health organization published a study showing an increase in the number of injuries that resulted from elderly people falling in the bathtub. In response to this increase, a medical supply company decided to drop its price on bathtub lifts from $450 to $375, hoping to still break even on the lifts. The company breaks even when its total revenue (income from selling n bathtub lifts) is equal to its total cost of producing the lifts. If the cost C, in dollars, of producing the lifts is C = 225 n + 3,150, how many more of the lifts does the company need to sell at the new price to break even than at the old price?

  (A) 7 (B) 12 (C) 14 (D) 21

  分析:觀察問(wèn)題: how many more of the lifts does the company need to sell at the new price to break even than at the old price?所以是一題減法題。涉及到一個(gè)經(jīng)濟(jì)學(xué)詞匯“break even”,向前掃讀有解釋:total revenue (income from selling n bathtub lifts) is equal to its total cost of producing the lifts 所以意思是收入 = 成本,所以問(wèn)題問(wèn)的是新價(jià)格下盈虧相抵要比舊價(jià)格下盈虧相抵多賣多少電梯。 成本公式為 C = 225 n + 3,150

  掃讀背景中的數(shù)字為價(jià)格從450下降為375,可設(shè)原價(jià)為a, 新價(jià)為b,列式:

  450a = 225 a + 3,150 375b = 225 b + 3,150 解得: a = 14, b= 21

  最終答案為a – b = 7 選 A

  所以同學(xué)們有了解到文字題的讀題順序以及注意事項(xiàng)嗎?最主要的是克服恐懼心理,多練習(xí)讀題方法,而不是一遍遍讀題。

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