问题：方程log13|x|=sin(π/2-1/2x)的实根的个数是( ).(A)2.(B)4.(C)6.(D)8....

Sunday, June 8, 2025

问题：已知数列{an}中,a1=2,an+1=(1+an)/(1-an).记数列{an}的前n项的乘积为∏n,则∏2012=____....

Sunday, June 8, 2025

问题：已知点M是△ABC所在平面内的一点,且满足MA2+MB2+MC2=4,那么△ABC三条边长之积AB·BC·CA的最大值是____....

Sunday, June 8, 2025

问题：命题p:不经过第一象限的图象所对应的函数一定不是幂函数.命题q:函数y=x+2/x的单调递增区间是[-√2,0)∪[√2,+∞), 则下列命题中,真命题是( ).(A)p∧q.(B)(￢p)∨q.(C)(￢p)∧(￢q).(D)p∧(￢q)....

Sunday, June 8, 2025

问题：已知数列{an}的通项公式为an =(4 9) n-1 - (2 3) n-1 (n ∈ N∗ ),则数列{an}( ).(A)有最大项,没有最小项.(B)有最小项,没有最大项.(C)既有最大项又有最小项.(D)既没有最大项也没有最小项....

Sunday, June 8, 2025

问题：How many positive roots does the equation (x+1/2)2012-x2012+2x+1/2=0 have? ____....

Sunday, June 8, 2025

问题：已知A,B是抛物线y2=4x上的两个动点,且|AB|=3,则当AB的中点M到y轴的距离最短时,点M的横坐标是____....

Sunday, June 8, 2025

问题：已知向量OA→=(－2,0),OB→=(2,2),BC→=(2cosθ,2sinθ)(0 ≤θ 已知向量OA→=(-2,0),OB→=(2,2),BC→=(2cosθ,2sinθ)(0 ≤θ(A)[7π/6 ,11π/6].(B)[7π/12 ,11π/12].(C)[2π/3 ,5π/3].(D)[5π/4 ,7π/4]....

Sunday, June 8, 2025

问题：三角式√6tan10°+4√2cos80°的值等于____....

Sunday, June 8, 2025

问题：已知函数f(x)={(1-tan2x)/(1+tan2x)}2 ,则f(x)的最小正周期是( ).(A)2π.(B)3/2π.(C)π.(D)π/2 ....

Sunday, June 8, 2025

问题：若数列{xn}满足条件x1=3,xn+1=(x2n+1)/2xn ,则该数列的通项公式xn=____....

Sunday, June 8, 2025

问题：已知数列{an}中,a1=2,an+1=(1+an)/(1-an).记数列{an}的前n项的乘积为∏n,则∏2012=____....

Sunday, June 8, 2025

问题：已知函数f(x)={(1-tan2x)/(1+tan2x)}2 ,则f(x)的最小正周期是( ).(A)2π.(B)3/2π.(C)π.(D)π/2 ....

Sunday, June 8, 2025

问题：若对于任意实数x,都有t2+5t ≤|2x-4|-|x+2|恒成立,则t的取值范围是( ).(A)[1,4].(B)[-4,-1].(C)(-∞,1]∪[4,+∞).(D)(-∞,-4]∪[-1,+∞)....

Sunday, June 8, 2025

问题：如图1,正方体ABCDA′B′C′D′中,EE′∥FF′∥BB′,平面AEE′A′与平面ABB′A′成15°角,平面AFF′A′与平面ADD′A′成30°角.如果正方体的棱长为1,那么几何体AEF A′E′F′的体积等于____....

Sunday, June 8, 2025

问题：已知向量a,b,c是三个具有公共起点的非零向量,且|a|=2|b|=2,又a·b=-1, 〈a-c,b-c 〉=π/3 ,则当|a-c|=7时,向量a与c的夹角是____....

Sunday, June 8, 2025

问题：已知向量a,b,c是三个具有公共起点的非零向量,且|a|=2|b|=2,又a·b=-1, 〈a-c,b-c 〉=π/3 ,则当|a-c|=7时,向量a与c的夹角是____....

Sunday, June 8, 2025

问题：The minimum value of the function y=√(x2-2x+5)+√(x2+4) is ( ).(A)4.(B)3√2.(C)2√5.(D)√17....

Sunday, June 8, 2025

问题：双曲线x2-y2/2 =1在点(-√2,√2)处的切线的方程是( ).(A)y=-x+√2.(B)y=-x+3√2.(C)y=-2x-√2.(D)y=-2x+3√2....

Sunday, June 8, 2025

问题：已知集合P={x|0 ≤x ≤5,x∈Z},Q={y|y=|x2-1|,x∈P},则P∩Q中元素的个数是( ).(A)3.(B)6.(C)8.(D)9....

Sunday, June 8, 2025