几何-OG22-DS：第11-20题 练习册详情

1

Lines k and m are parallel to each other. Is the slope of line k positive?

(1)Line k passes through the point (3, 2).

(2)Line m passes through the point (-3, 2).

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

9998人做过此题 平均耗时为5min58s 平均正确率为 40%

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2

In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?

(1) The maximum width of the truck is 2.4 m.

(2) The maximum height of the truck is 4 m.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

599人做过此题 平均耗时为6min6s 平均正确率为 51%

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3

In the figure shown,is $$\ell1$$ || $$\ell2$$?

(1) r=s

(2) t=u

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2)TOGETHER are NOT sufficient.

0人做过此题 平均耗时为0 平均正确率为 0%

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4

What is the volume of the right circular cylinder X?

(1) The height of X is 20.

(2) The base of X has area 25π.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2)TOGETHER are NOT sufficient.

0人做过此题 平均耗时为0 平均正确率为 0%

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5

In the figure above, ∆PQR has angle measures as shown. Is x < y ?

1.PQ = QR

2.PR > QR

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

409人做过此题 平均耗时为2min19s 平均正确率为 40%

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6

In the figure above, RST is a triangle with angle measures as shown and PRTQ is a line segment. What is the value of x + y ?

1.s = 40

2.r = 70

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

258人做过此题 平均耗时为2min5s 平均正确率为 45%

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7

If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ?

1.R is between S and T.

2.S is to the left of R, and T is to the right of R.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

169人做过此题 平均耗时为1min46s 平均正确率为 42%

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8

If each side of parallelogram P has length 1, what is the area of P ?

1.One angle of P measures 45 degrees.
2.The altitude of P is $$\frac{\sqrt{2}}{2}$$

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

198人做过此题 平均耗时为2min57s 平均正确率为 57%

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9

Is the point Q on the circle with center C ?

1.R is a point on the circle and the distance from Q to R is equal to the distance from Q to C.

2.S is a point on the circle and the distance from Q to S is equal to the distance from S to C.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

180人做过此题 平均耗时为2min52s 平均正确率为 98%

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10

In the figure above, if A, B, and C are the areas, respectively, of the three nonoverlapping regions formed by the intersection of two circles of equal area, what is the value of B + C ?

1.$$A + 2B + C = 24$$

2.$$A + C = 18$$ and $$B = 3$$

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

182人做过此题 平均耗时为2min4s 平均正确率为 70%

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