下面是2015年4月22日的SAT官方每日一题的内容，是关于数学方面的，题型是数学选择。SAT官方每日一题是collegeboard每天都会发布的题目，关于SAT考试的三个部分的各个题型。下面我们就一起来看一下这个SAT官方每日一题吧。

　　Which of the following statements must be true of the lengths of the segments on line m above?

??　　I. AB + CD =AD

　　?II. AB + BC =AD - CD

　　?III. AC - AB=AD - CD????

　　(A) I only

　　(B) II only

　　(C) III only

　　(D) I and II only

　　(E) I, II, and III

　　The correct answer is B

　　Explanation

　　Consider each statement separately. For example, consider statement I , AB + CD = AD. From the figure, you can see that segment AD is made up of the segments AB , BC , and CD. This tells you that AB +CD cannot equal AD, since BC cannot equal zero . Statement I is not true.

　　Consider statement II , AB + BC=AD - CD . Since B is between A and C , it follows that AB + BC = AC. Since C is between A and D, it follows that AC + CD = AD . Therore, AD - CD = AC . Since both AB + BC and AD - CD equal AC, they are equal to each other. Statement II is true.

　　Consider statement III, AC - AB = AD - CD . The lt side of the equation, AC - AB , is equivalent to B C. The right side of the equation, AD - CD , is equivalent to AC . Since AB cannot equal zero , BC is not equal to AC . Statement III is not true.

　　以上就是关于2015年4月22日的SAT官方每日一题中数学选择的详细内容，包括了题目和选项以及答案，后面附有一道相关的练习题。大家可以在备考SAT的过程中关注SAT每日一题的内容，这样就可以更好有不间断的练习，也就能在日积月累的过程中得到提高。

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