﻿美国高考（SAT）经典数学题汇总_SAT培训_外语培训_培训课程_环球培训网

50000家星际备用网址多少钱 1000万学生的选择 美国高考（SAT）经典数学题汇总     点击星际备用网址多少钱查看原图
 学费： 0元 优惠价： 0元 学时： 授课机构： 本校 上课地点： 西安 星际备用网址多少钱路线： 雁塔区星际备用网址多少钱路大都荟7号楼B座2304，延平门地铁D2出口直走300米 星际备用网址多少钱： 行业顶尖名师授课 有效期至： 长期有效 最后更新： 2019-06-26 15:54 浏览次数： 37   您还没有登录，请登录后查看联系方式 星际备用网址多少钱培训信息 推广培训课程 建立星际备用网址多少钱主页 在线咨询课程  If you understand how to answer this question, you should be able to answer any question dealing with line segments on the Math IC. The question asks you to find the distance between two midpoints

In the line segment pictured below, AB + CD =  AD, and AB =  BC. If AD = 15,what is the distance between the midpoints of AD and BC?

(A) 0.5

(B) 1.5

(C)

(D) 4.5

(D) 7.5

2.  星际备用网址多少钱Which of the following lines is perpendicular to y = 3x + 4 and has 6 for its x-intercept?

(A) 星际备用网址多少钱y = 3x – 6

(B) 星际备用网址多少钱y = –3x + 6

(C) 星际备用网址多少钱y = – x + 6

(D) y = – x – 2

(D) y = – x + 2

3.  Which of the following inequalities is graphed below?

(A) y > –2x – 2

(B) y ≥ –2x – 2

(C) y < –2x – 2

(D) y >  x – 2

(D) y > – x – 2

4.  The following equation represents which type of graph? 2y = –6x2 + 24x – 12

(A) A parabola that opens downward with vertex (–2 ,6)

(B) A parabola that opens upward with vertex (6, 2)

(C) A parabola that opens upward with vertex (–2, –6)

(D) 星际备用网址多少钱A parabola that opens downward with vertex (2, 6)

(D) 星际备用网址多少钱A parabola that opens downward with vertex (–6, 2)

1.      B

The midpoint of BC is 9⁄2 = 4.5 units from B and C. But in order to measure the distance between the midpoints of BC and AD, you must situate the midpoint of BC with regard to AD. You can do this by finding out the midpoint of BC’s distance from point A.

Therefore, the midpoint of BC is 4.5 + 4.5 = 9 units from a, wheras the midpoint of AD is 7.5 units from a. The distance between these two midpoints is 9 – 7.5 = 1.5.

2.      E

The slope of y = 3x + 4 is 3. A line perpendicular to this line has a slope that is the opposite of the reciprocal of 3, or –1⁄3. If the x-intercept of the desired line is 6, then the line contains the point (6, 0), and we have enough information to put it in point-slope form: (y – 0) = –1⁄3(x – 6). This simplifies to y = –1⁄3 x + 2.

The slope of the line pictured is –12⁄6 = –2. The y-intercept of the line pictured is –2. So the equation of the line pictured is y = –2x – 2. This leaves three choices. The line in the picture is dotted; this means that the inequality is either < or >, not ≤ or ≥. Now we have two choices left. Because the region to the right and above is shaded, > is the correct inequality, but just to make sure, plug in a point or two. In this case, try the origin, (0,0). It is in the shaded region, and must therefore satisfy the inequality. Which inequality does is satisfy? It satisfies y > –2x – 2, so this is the correct choice.

In this equation, y is raised to the first power, and x is squared. This should lead you to believe that the graph of this equation is a parabola (in the equation of a circle, both variables are squared). Simplify the equation to arrive at the standard form:

The equation in the question is the standard form of a parabola. From it we can see that –3 < 0, so the parabola opens downward, and the vertex is (2, 6).

If the length, width, and height of a rectangular solid are all doubled, by what factor is the length of its diagonal multiplied?

(A)

(B)

(C)

(D)

(D)

2.  A cylinder’s radius is equal to its height. If its surface area is 100Ï€, what is its volume?

(A) 星际备用网址多少钱25Ï€

(B) 星际备用网址多少钱50Ï€

(C) 星际备用网址多少钱100Ï€

(D) 125Ï€

(D) 625Ï€

3.  星际备用网址多少钱Cone A has volume 24. When its radius and height are multiplied by the same factor, the cone’s surface area doubles. What is Cone A’s new volume?

(A)

(B) 48

(C)

(D) 96

(D) 星际备用网址多少钱Not enough information to tell

4.  A  rectangle stands so that its 6 inch side lies flat against the ground. If the rectangle is rotated around the axis of one of its two 4 inch sides, what is the volume of the resulting cylinder?

(A) 24Ï€

(B) 36Ï€

(C) 64Ï€

(D) 96Ï€

(D) 144Ï€  ﻿