13教师招聘考试学科专业知识小学数学【典型例题】目录第一部分集合与简易逻辑......................................................................................................................................................2一、函数.......................................................................................................................................................................................2二、数列.......................................................................................................................................................................................2三、三角函数...............................................................................................................................................................................3四、向量代数与空间解析几何....................................................................................................................................................5五、直线和圆...............................................................................................................................................................................7六、圆锥曲线、参数方程和极坐标..........................................................................................................................................10七、简单几何体、函数的极限和连续、导数与微分、微分中值定理及其应用、不定积分、定积分及其应用................12八、概率与统计.........................................................................................................................................................................13第二部分学科课标与教材....................................................................................................................................................15一、数与代数.............................................................................................................................................................................15第三部分模拟试卷...............................................................................................................................................................151、{AN}是等差数列，S10＞0，S11＜0，则使AN＜0的最小的N值是（）...................................................................152、=..............................................................................................................................................................163、已知曲线．.....................................................................................................................................................1613教师招聘考试学科专业知识小学数学【典型例题】菁优网HTTP://WWW.JYEOO.COM/第一部分集合与简易逻辑一、函数1.（函数）若函数，若f(a)>f(-a),则实数a的取值范围是-1
1。【解析】当a>0时，由f(a)>f(-a)得log2a>log1/2a,即log2a>-log2a,可得：a>1;当a<0时，同样得log1/2(-a)>log2(-a),即-log2（-a）>log2(-a).可得：-11.二、数列2.（数列）已知两个等差数列{an}和{bn}的前n项和分别为An和Bn，且An/Bn=(7n+45)/(n+3),则使得An/Bn为整数的正整数3的个数是5。【解析】an/bn=(7n+21+24)/(n+3)=(7n+21)/(n+3)+24/(n+3)=7+24/(n+3)所以24/(n+3)是整数所以n+3=1,2,3,4,6,8,12,24且n>=1所以n=1,3,5,9,21有5个3.（数列）等比数列{an}中，a1=2,a8=4,函数f(x)=x(x-a1)(x-a2)…(x-a8),则f(0)=0【解析】因为里面有一个因式x，x等于0，所以f(x)=04.（...
