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数学遇到难题,求解答

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楼主
发表于 2012-8-4 09:24:46 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
1、GWD 第一套里的Q10:

A set of numbers has the property that for any number t in the set, t + 2 is in the set.  If –1 is in the set, which of the following must also be in the set?



I. -3

II. 1

III. 5





A.I only

B.II only

C.I and II only

D.II and III only

E.I, II, and III

Answer:B     ,我认为是E呢,想不明白

2、GWD  第二套里的
Q6:

























The figure above shows the dimensions of a semicircular cross section of a one-way tunnel.  The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel.  If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?



A. 5½ ft

B. 7½ ft

C. 8 ½ ft

D. 9½ ft

E. 10 ft

Answer: B, 不会

Q9:

What was the price at which a merchant sold a certain appliance?

(1)The merchant’s gross profit on the appliance was 20 percent of the price at which the merchant sold the appliance.

(2)The price at which the merchant sold the appliance was $50 more than the merchant’s cost of the appliance.



A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

Answer: E     ,我认为是C呢
Q30:

       E











B                    C













AD





In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?



A. 1/3

B. (Ö2)/4

C. 1/2

D. (Ö2)/2

E. 3/4





Answer: B, 没有思路


Q30:

       E











B                    C













AD





In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?



A. 1/3

B. (Ö2)/4

C. 1/2

D. (Ö2)/2

E. 3/4





Answer: B, 没有思路

Q9:

What was the price at which a merchant sold a certain appliance?

(1)The merchant’s gross profit on the appliance was 20 percent of the price at which the merchant sold the appliance.

(2)The price at which the merchant sold the appliance was $50 more than the merchant’s cost of the appliance.



A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

Answer: E     ,我认为是C呢
Q30:

       E











B                    C













AD





In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?



A. 1/3

B. (Ö2)/4

C. 1/2

D. (Ö2)/2

E. 3/4





Answer: B, 没有思路


Q30:

       E











B                    C













AD





In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?



A. 1/3

B. (Ö2)/4

C. 1/2

D. (Ö2)/2

E. 3/4





Answer: B, 没有思路

Q6:

























The figure above shows the dimensions of a semicircular cross section of a one-way tunnel.  The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel.  If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?



A. 5½ ft

B. 7½ ft

C. 8 ½ ft

D. 9½ ft

E. 10 ft

Answer: B, 不会

Q9:

What was the price at which a merchant sold a certain appliance?

(1)The merchant’s gross profit on the appliance was 20 percent of the price at which the merchant sold the appliance.

(2)The price at which the merchant sold the appliance was $50 more than the merchant’s cost of the appliance.



A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

Answer: E     ,我认为是C呢
Q30:

       E











B                    C













AD





In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?



A. 1/3

B. (Ö2)/4

C. 1/2

D. (Ö2)/2

E. 3/4





Answer: B, 没有思路


Q30:

       E











B                    C













AD





In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?



A. 1/3

B. (Ö2)/4

C. 1/2

D. (Ö2)/2

E. 3/4





Answer: B, 没有思路

Q9:

What was the price at which a merchant sold a certain appliance?

(1)The merchant’s gross profit on the appliance was 20 percent of the price at which the merchant sold the appliance.

(2)The price at which the merchant sold the appliance was $50 more than the merchant’s cost of the appliance.



A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

Answer: E     ,我认为是C呢
Q30:

       E











B                    C













AD





In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?



A. 1/3

B. (Ö2)/4

C. 1/2

D. (Ö2)/2

E. 3/4





Answer: B, 没有思路


Q30:

       E











B                    C













AD





In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?



A. 1/3

B. (Ö2)/4

C. 1/2

D. (Ö2)/2

E. 3/4





Answer: B, 没有思路
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沙发
发表于 2012-8-4 10:58:38 | 只看该作者
1、GWD的Q10,如果-1在集合里,那么t=-1,则t+2=1一定在集合,其他-3和5不能直接推出一定在,因为这个集合可能就只是{-1,1},故只有1肯定在集合里。
板凳
发表于 2012-8-4 11:23:22 | 只看该作者
我不知道怎么回事,我的GWD的书很多答案和你的标准答案不一样,很多你自己的答案是对的,他的标准答案在我这边是错的
地板
 楼主| 发表于 2012-8-5 09:16:53 | 只看该作者
是嘛,那可不可以麻烦你给我发一份你的GWD 的数学的答案呀?我的邮箱是1712766380(AT) QQ.C0M 非常感谢!
5#
 楼主| 发表于 2012-8-5 09:21:23 | 只看该作者
谢谢梁泱泱,觉得你的解释确实有道理,但是题中说的是对于任意的t和t+1,所以我的第一感觉是对于数的多少没有限制,不过按得解释我也可以想通,总之非常感谢!
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