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**SAT官方题附答案和解析[数学****]**

**【1】**

**Mathematics>Standard Multiple Choice**

**Read the following SAT test question and then click on a button to select your answer.**

In triangle ABC, the sum of the measures of angle A and angle B is 70 degrees. The measure of angle A is one-half the measure of angle B. If the measure of angle B is equal to x degrees, which of the following expressions represents the sum of angles A,B and C?

A.x+2x+110

B.x/2+x+110

C.1/2(x+2x+110)

D.x/2+x+70

**答案：B**

**解析：**

Choice B is correct. The sum of the three interior angles in a triangle is 180 degrees. If the measures of two interior angles in the triangle sum to 70 degrees, then the third angle must measure 110 degrees. If the measure of angle B is x and the measure of angle A is one-half of the measure of angle B comma then the measure of angle A is x/2. Therefore, x/2+x+110 is the sum of the measures of the angles in triangle ABC.

【2】

Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

A quadratic function is graphed in the xy-plane. The vertex of the parabola is at (-3,5) and the parabola crosses the y-axis at(0,2). Which of the following could be the equation for the function?

A.y=-2(x-3)²+5

B.y=-2(x+3)²+5

C.y=-1/3(x-3)²+5

D.y=-1/3(x+3)²+5

【3】

Mathematics**&**gt**;**Standard** **Multiple** **Choice

Read** **the** **following** **SAT** **test** **question** **and** **then** **click** **on** **a** **button** **to** **select** **your** **answer**.**

Each year from 2007 to 2015, a group of people were selected at random and surveyed about their use of online radio. The survey asked respondents whether or not they listened to online radio in the last month. The scatterplot shown gives the results of the survey, where P represents the percent of respondents who reported listening to online radio and t represents years since 2007. Which of the following equations best models the relationship between t and P?

答案：D

解析：

Choice D is correct. Drawing a best fit line on the scatterplot helps to estimate the slope and y-intercept, or in this case, the P-intercept of the line.

According to the line, the P-intercept is about (0,18) and the slope is greater than 4 but less than 6.

Therefore, of the equations given, P=4.3t+18 is the best model of the relationship between t and P.

【4】

**Mathematics>Standard Multiple Choice**

**Read the following SAT test question and then click on a button to select your answer.**

If θ=330°, what is the value of θ in radians?

A.3/2π

B.5/3π

C.7/4π

D.11/6π

答案：D

解析：

Recall that there are 2π radians in one revolution of a circle. There are also 360° in one revolution of a circle.

This leads us to the following conversion: 2π radians=360°

If we divide both sides by 360, we have 1°=π/180 radians.

We can use this factor to convert degrees to radians.

The conversion is performed below.

330°=330*1°=330*π/180=11π/6

Alte

**SAT官方题附答案和解析[阅读****]**

【1】

Critical Reading>Select an Answer

Like an opera house, which has its public entrance separate from that for the performers, a cell has different doors for different molecules. Each gets scrutinized at its door before it can enter the cell. Now researchers from the University of California at San Francisco have revealed in the journal Science the three-dimensional structure of one such door, or membrane channel, that specializes in granting entry to a membrane component known as glycerol. Specifically the channel is called the glycerol facilitator (GlpF), from the bacterium Escherichia coli.

Bearing three alcohol groups, glycerol is a basic building block for the cell membrane. (Other components include fatty acids and small charged molecules.) And not just in E. coli. Indeed, although the channel the researchers studied is from a bacterium, it belongs to a large protein family dubbed the aquaporins, which are found in species ranging from bacteria to humans.

GlpF is highly specific for glycerol and similar polyalcohols. Somehow, even though water molecules are much smaller, they cannot enter. The new study reveals why. In order for glycerol to clear the four-channel configuration in the cell membrane, it must pass through a narrow selectivity filter in the center of a channel. Here it is surrounded by amino acids that closely match its own structure, which is hydrophilic ("water-loving") on one side and hydrophobic ("water-fearing") on the other. Water molecules, in contrast, can only pass through this area in single file, which is not energetically favorable, because they like to bond to one another. And ions, which are charged, are unable to pass the "water-fearing" side of the channel. This cell entrance, it seems, is truly exclusive.

The main purpose of the passage is to ____

A.explain the ways proteins function in various species.

B.analyze and argue against a common claim about bacteria.

C.assert that a new research technique will enhance future studies in the field of cellular biology.

D.discuss a study that offers a new understanding of a fundamental cellular process.

【2】

Critical Reading>Select an Answer

Racks of clothes stood at distances from each other across the room: cliques of glamorous ghosts. A mirror covered one wall, sketches and patterns taped to it here and there. Near the opposite wall of paned glass, two assistants worked at a long table topped with computers, stacks of magazines, and wads of fabric. Across a narrow street stood a brick building with small windows framing scenes from a play: actors playing office workers, drifting in and out of cubicles.

"Now," Eddie said once Rebecca had ended her call, "show us what you're working on."

Rebecca searched the coffee table and tugged some sketches out from a pile. "It's Arts and Crafts, and it's Dolce Vita. There's a little kabuki in the silhouette, you see. And Voltaire—I've been reading Voltaire." She turned to Dinah. "I must sound totally pretentious to you, Dinah, but this is what I do. I have to plunder. Fashion is nothing so pure as dance. By nature, clothes must refer."

She continued to make claims Dinah didn't quite understand, but which sounded wild and intelligent, and which made Dinah long to become that person who would understand them, agree or disagree with them. Dinah clearly knew nothing. She hadn't even known that dance was pure.

Eddie voraciously seconded everything Rebecca said. Then Rebecca led them over to a rack and started pulling out suits of pink tweed, tops of accordioned silk, skirts of mossy burlap.

"I'm working younger these days." She held a strange little blue dress up to Dinah. "You could wear this. It's that young."

In general, Dinah sailed on a smooth emotional sea, free from the crushes and contests that stormed on her friends. But now and then, a wave of adolescent emotion would rise out of nowhere and crash against her. Here came one such tsunami: complete devotion to Rebecca Leigh, this queen of the city who treated Dinah as an equal. Dinah loved her more than her best friend, more than her mother.

The main purpose of the last paragraph is to ____

A.present a stark contrast between Dinah and her friends.

B.suggest that Dinah and her mother have a tumultuous relationship.

C.convey the strength of Dinah's admiration for Rebecca.

D.emphasize that Dinah is in awe of Rebecca's fame.

【3】

Critical Reading>Select an Answer

Racks of clothes stood at distances from each other across the room: cliques of glamorous ghosts. A mirror covered one wall, sketches and patterns taped to it here and there. Near the opposite wall of paned glass, two assistants worked at a long table topped with computers, stacks of magazines, and wads of fabric. Across a narrow street stood a brick building with small windows framing scenes from a play: actors playing office workers, drifting in and out of cubicles.

"Now," Eddie said once Rebecca had ended her call, "show us what you're working on."

Rebecca searched the coffee table and tugged some sketches out from a pile. "It's Arts and Crafts, and it's Dolce Vita. There's a little kabuki in the silhouette, you see. And Voltaire—I've been reading Voltaire." She turned to Dinah. "I must sound totally pretentious to you, Dinah, but this is what I do. I have to plunder. Fashion is nothing so pure as dance. By nature, clothes must refer."

She continued to make claims Dinah didn't quite understand, but which sounded wild and intelligent, and which made Dinah long to become that person who would understand them, agree or disagree with them. Dinah clearly knew nothing. She hadn't even known that dance was pure.

Eddie voraciously seconded everything Rebecca said. Then Rebecca led them over to a rack and started pulling out suits of pink tweed, tops of accordioned silk, skirts of mossy burlap.

"I'm working younger these days." She held a strange little blue dress up to Dinah. "You could wear this. It's that young."

In general, Dinah sailed on a smooth emotional sea, free from the crushes and contests that stormed on her friends. But now and then, a wave of adolescent emotion would rise out of nowhere and crash against her. Here came one such tsunami: complete devotion to Rebecca Leigh, this queen of the city who treated Dinah as an equal. Dinah loved her more than her best friend, more than her mother.

In the passage, Rebecca's comments about fashion cause Dinah to feel ____

A.inadequate.

B.embarrassed.

C.bewildered.

D.skeptical.

答案：A

解析：

Choice A is the best answer. The passage indicates that Dinah doesn't fully understand Rebecca's comments but wishes she could follow them and add her own opinions. In other words, Dinah feels inadequate, or thinks she doesn't know enough.

**招生电话：0759-2296349**

2017年07月05日

**SAT数学与阅读讲解【一】**

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