希望杯英语题

更新时间:2023-05-27 11:18:20 阅读: 评论:0

1If ab0, then the following inequality must be hold  (    )
        (英语小词典:following:下面的; inequality:不等式)
(A)    (B)  (C)  (D)
2(Figure 1) In the parallelogram ABCD,AD=2AB,a point M is mid- point of gment AD,CEAB,ifCEM=40°,then the value ofDME it(  ).
    (A)150°    (B)140°    (C)135°    (D)130°
3If N is natural number,and,then the value of N is______.( natural number自然数)
4Root of the equation is        
(英汉小字典:root根;equation方程.)
5In fig. 1, let be an equilateral triangle, D and E be points on edges AB and AC respectively, F be interction of gments BE and CD, and, then the magnitude relation between Ad and CE is    
  A.  B.  C.  D. indefinite
  butterfly的复数(英汉词典:equilateral等边的;interction交点;magnitude大小,量;indefinite不确定的)
6 If and are unequal primes, and are unequal  positive  integers satisfying and, then the value of is ________。(英汉词典:prime质数)
7、(Figure 4In the trapezium(梯形)ABCDADBCpoint E is midpoint(中点)of the ADpoint F is midpoint of the BCEF(BCAD)the result of the B+∠C is (  )
A90°    B100°    C110°    D120°
8If the radius(半径) of circle  in the figure3(3) is of the radius of circle ,and the radius of circle is of the radius of circle ,then the area of the shaded region iswhat part of the area of circle ?(    )
(A)prosperous什么意思;  (B);(C);(D)
9If a,b and c are sieds() of the ΔABC,and a2-bc=a(b-c),then the figure(形状) of the triangle(三角形) is_________.(用汉语填写)
10Given in the ABC,a,b,c are three sides of the triangle, a=3, b=10 and perimeter of the triangle is multiple of 5, then the length of c is           
(英汉小词典:side:边;perimeter:周长;multiple:倍数)
11Given m is a real number, and |1-m|=|m|+1simplify an algebraic expression, then =( )
  (A)|m|-1     (B)-|m|+1    (C)m-1      (D)-m+1
(英汉小词典simplify:化简;algebraic expression:代数式)
12(Figure 3)In a trapezoid ABCD开车换挡技巧AE=DECEADCE is a bictor to BCDthen the ratio of the area of a quadrilateral ABCE to that of a triangle CDE is _____.
(英汉小词典trapezoid:梯形;bictor:平分线;ratio:比值;quadrilateral:四边形)
13Given in the ABC abc are three sides of the triangleandthen A is
Aacute angle                    Bright angle 
Cobtues angle                   Dacute angle or obtues angle
(英汉词典 acute angle:锐角;obtu angle:钝角)
14Given abc are positive integersand ab are prime numbersthen the value of is   
A14                B13              C12                D 11
(英汉词典 positive integers:正整数. prime numbers:质数)_
15repostLet a be integral part of and b be its decimal partLet c be the integral part of and d be the decimal part.if adbcmthen(  )
A)-2m<-1    B)-1m0    C0m1    Djery1m2
(英汉词典:cpmintegral part 整数部分;decimal part 小数部分)
16 Let a be the length of a diagonal of a square, b and c be the length of two diagonals of a rhombus respectively. If b:a=a:c,then the ratio of area of the square and rhombus is (  )
A11dairy  B2  C1 D12
(英汉词典:length长度;diagonal对角线;square正方形;rhombus菱形;respectively分别地;ratio比;area面积)
17Let be a four-digit number. If is a square of an integer, then
A=           
(英汉词典:four-digit number 四位数;square平方、平方数;integer整数)
18In the figure is a  diamondpoints andlie on its sides and respectivelysuch thatand is a regular triangleThen is equal to (    )
A                B               
C                D
19If one side of a triangle is 2 tines of another side and it has the largest possible areathen the ratio of its three sides is (    )
A                B            C            D mayo
(英汉小词:possible可能的;area面积;ratio比率,比值)
20If the sum of a 4-digit natural number and 17the difference between it and 72 are all square numbersthen the 4-digit natural number is       
(英汉小词典:4-digit natural number四位自然数;difference差;square number完全平方数)
21The number of integer solutions for the system of inequalities about is just 6then the range of value for real number is    
A如何开贸易公司            B            C        D
(英汉词典:integer solution 整数解,system of inequalities不等式组,the range of value取值范围)
22In the rectangular coordinatesabscissa and ordinate of the interction point of the lines and are integers for integerthen the number of the possible values of is       
A4                B5                C6                D7
(英汉词典:abscissa横坐标,ordinate留学出国费用纵坐标,interction point交点,integer整数)
23Given if when takes the value of its inver numberthe corresponding value of is also the inver numberand =0then _______________

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