sat2数理化sat数学练习题第1套

1、50 questions1 hourReference Information: The following information is for your reference in answering some of the questionshis test.Volume of a right circular cith radius r and height h: V=1/3r2hLateral area of a right circular cith circumference of the base c and slant height l: S=clVolume of a sph

2、ere with radius r: V=4/3r3Surface area of a sphere with radius r: S= 4rVolume of a pyramid with base area B and height h: V=1/3BhThe slope of a line pendicular to the line whose equation is x/3-y/4=1 is(A)(B)-4/3(C)-(D)4/3(E)-3(tan15/cot75)=(A)0(B)1(C)-1(D)(E)3What is the set of pos in space equidis

3、tant from two vertiof an equilateral triangle and 2 inches from the third vertex?(A)a circle(B)a ligment(C)two pos (D)a parabola(E)two parallel lines4. If f(x)=2 x+3 and g(x)=x2+1, then f(g(2)= (A)6.16(B)3.61(C)2.24(D)3.00(E)6.00 5. (-1/16)2/3=(A)0.16(B)-0.25(C)6.35(D)-0.16(E)The value is not a real

4、 number.The circumference of circle x2+y2-10y-36=0 is (A)192(B)38(C)125 5 (D)54(E)49What is the value of j=3 lnj ?(A)1.6(B)4.8(C)7.8(D)4.1(E)1.9If f9x)=2 for all real numbers x, then f(x+2)= (A)0 (B)2 (C)4 (D)x (E)The value cannot be determined.The volume of the region betn two concentric sphere of

5、radii 2 and 5 is(A)66(B)28(C)368(D)490(E)113The number of termshe expanof (2x2-3y1/3)7 is(A)6(B)8(C)1(D)7(E)9In right triangle ABC, AB=10, BC=8, AC=6. The sine of A is(A)4/3(B)3/4(C)4/5(D)5/4(E)3/5If 16x=4 and 5x+y=625, then y= (A)2(B)5(C)25/2(D)7/2(E)1If the parameter is eliminated from the equatio

6、nsx=t2+1 and y=2t, then the relation betn x and y is (A)y=x-1 (B)y=1-x (C)y2=x-1 (D)y2=(x-1)2 (E)y2=4x-4If the probabilityt the Giants will whe NFC chionship is p and if the probabilityt the Raiders will whe AFC chionship is q, what is the probabilityt only one of these teams will win its respective

7、 chionship?(A)pq (B)p+q-2pq (C)p-q (D)1-pq(E)2pq-p-qLet f(x) be a polynomial function: f(x)=x5+. Iff(x)=0 and f(2)=0, then f(x) is divisiby(A)x-3 (B)x2-2 (C)x2+2(D)x2-3x+2(E)x2+3x+2SinArctan(1/3) equals(A)0.95(B)0.32(C)0.33(D)0.35(E)0.5017. The value of 453!/(450!3!) is(A)greatern 10100(B)betn 1010

8、and 10100(C)betn 105 and 1010(D)betn 10 and 105(E)lessn 1018. Given the set of data 8,12,12,15,18, what is therange of this set?(A)12(B)18(C)13(D)15(E)10If determinants are used to solve the equations 3x+2y=1x-3y=2simultaneously, then y will equal (A) 31(B)32(C)12 12 1-3 313231321-3121-3(D)(E)12 315

9、/(x-2), when x2If f(x)= k, when x=2 , what must the valueof k be in order for f(x) to be a continuous function? (A)2 (B)5 (C)0 (D)-2 (E)No value of k will make f(x) a continuous function.21. If f(x)=(2x-2)/(x-1) and f 2(x)=f(f(x), f 3(x)=f(f 2(x), , f n(x)=f(f n-1(x), where n is an eger greater n 1,

10、 for what values of n is f n(x)=f(x)?(A)all values of n(B)all even values of n (C)all odd values of n(D)no values of n (E)n:n=3k, where k is aitiveegerThe ellipse 4x2+8y2=64 and the circle x2+y2=9 ersecpos where the y-coordinate is(A)1.41 (B)2.24 (C)10.00 (D)2.45(E)2.65Each term of a sequence, after

11、 the, is inversely proportional to the term preceding it. If thetwo terms are 2 and 6, what is the twelfth term?(A)2(B)6(C)2311(D)46(E)The twelfth term cannot be determined.A company offers you the use of its computer for a fee. Plan A costs $6 to join and then $9 per hour to use the computer. Plan

12、B costs $25 to join and then $2.25 per hour to use the computer. After how many minutes of use would the cost of plan A be the same as the cost of plan B?(A)18,052(B)173(C)169(D)165(E)157If a geometric sequence begins with the terms 1/3, 1, , what is the sum of the10 terms?(A)98411/3(B)6561(C)32801/

13、3(D)331/3(E)6If A is the angle formed by the line 2y=3x+7 and the x-axis, then A equals(A)72(B)56(C)215(D)0(E)-45What is the smallestitive x-ercept of the graph of y=3sin2x+(2/3) ?(A)0(B)2.09(C)1.05(D)0.52(E)1.31If (x-4)2+4(y-3)2=16 is graphed, the sum of the distanfrom any fixed poon the curve to t

14、he two foci is321-3321-3122-3(A)4 29.(B)8(C)12(D)16(E)32he equation x2+kx+54=0, one root is twice theother root. The value(s) of k is (are)41. If f(x)=ax+b, which of the following make(s)f(x)=f 1(x)?(A)5.2(B)15.6(C)-5.2(D)15.6(E)22.030. The remainder obtained when 3x4+7x3+8x2-2x-3 is divided by x+1

15、isI. a=-1, b=any real numbetrIII. a=any real number, b=0II. a=1, b=0(A)only I(B)only II(C)only III(D)only I and II(A)5(B)0(C)-3(D)3(E)1331. If f(x)=ex and g(x)=f(x)+f 1(x), what does g(2) equal?(E)only I and III42. he figure, A=110, a=6 , and b=2. What is the value of C?A(A)8.1(B)7.5(C)8.3(D)5.1(E)7

16、.4cb32. (x+2)3-3(x+2)2+3(x+2)-1=B(D)15a(E)10OC(A)(x+1)3(B)(x-1)3(C)(x+2)3(D)x3(E)(x+3)3(A)50(B)25(C)2033. For what values of k does the graph of43. A sector of a circle, AOB,(x-2k)2/1-(y-3k)2/3=1 pass through the origin?wicentral angle of 2/5 and a radius of 5 is bent to(A)only 0(B)only 1 (C)1 (D)5

17、(E)no value34. If (1-cos)/sin=3 /3, then =form a cith vertex at O.(A)15(B)30(C)45(D)60(E)75What is the volume of the cone t is formed?AB35. If x2+3x+20 and f(x)=x2-3x+2, then(A)0f(x)12(D)f(x)0 (E)6f(x)1236. If f(x)=|x|+x, the value of f(-2.5)+f(1.5) is(A)8.17(B)6.04(C)4.97(D)5.13(E)12.3144. If V =(1

18、,3 ) and U=(3,-2),find the value of |3V - U |?(A)3(B)1(C)-2(D)1.5(E)2(A)52(B)2+3345. In ABC, a=2x,(C)6(D)0.2+33(E)7B37. The figure at the right Could be the graph of(A)y=sin(1/4)x(B)y=cos(4x-/2) (C)y=sin2xcos2x (D)y=-sin4x (E)y=cos(1/4)x-2y1b=3x+2, c=1 2 , andC=60. Find x.acCbAx(A)0.50(B)0.64(C)0.77

19、(D)1.64(E)1.78/8/43/8/246. If poP(a,a3 ) is 6 units from line 5x+3y=12,-1then a equals(A)only 4.6(B)only 2.3(C)2.3 or 4.6(D)only 2.3(E)-2.3 or 4.647. If f(x)=3x2+4x+5, what must the value of k equal38. Atof a meeting all participants shookhands with each other. Twenty-eighndshakeswere exchanged. How

20、 many people were at the meeting?sot the graph of f(x-k) will be symmetric to they-axis?(A)14(B)7(C)8(D)28(E)56(A)2/3(B)-2/3(C)0(D)-4(E)-4/339. What is the smallest 5-sin(x+/6) aitive anglet will make48. If f(x)=cosx and g(x)=2x+1, which of the following is an even function(are even functions)?um?(A)1.05(B)2.09(C)1.5740. If the values of the function g(x) represent(D)4.19(E)5.24f(x)I. f(x)g(x)II. f(g(x)III.g(f(x)(A)only I(B)only II(C)only III(D)only I and II(E)only II and IIIthe slope of the line tangent to