高一年级选拔性测试题数学和英语试题.docVIP

银河中学高一年级综合测试题 （共用时120分钟） 班级：_________ 姓名：_________ 成绩：_________ 第一部分 数学卷 （46分） 1．（14分）已知A，B，C是△ABC的三个内角，且向量a＝cosi＋sinj的长度为|a|＝，其中i，j分别是x轴、y轴上的单位向量． （1）求证：tanA·tanB是定值； （2）求tan(A＋B)的最小值． 2．（16分）．在平面直角坐标系xOy中，平行于x轴且过点A的入射光线l1被直线l：反射，反射光线l2交y轴于B点．圆C过点A且与l1、l2相切． （1）求l2所在的直线的方程和圆C的方程； （2）设P、Q分别是直线l和圆C上的动点，求PB+PQ的最小值及此时点P的坐标． 3．（16分）定义在上的函数，如果满足：对任意，存在常数，都有成立，则称是上的有界函数，其中称为函数的上界.； （1）时，求函数在上的值域，并判断函数在上是否为有界函数在上是以为上界的有界函数，求实数的取值范围；1．He is in control of the company. I mean, the company is in control of him. A. the; 不填 B. 不填; the C. the; the D. 不填; 不填 2. It was she was injured in the accident she didn’t come to the party yesterday. A. as; which B. because; that C. since; why D. for; how 3. I’ve tried very hard to improve my English. But by no means with my progress. A. the teacher is not satisfied B. is the teacher not satisfied C. the teacher is satisfied D. is the teacher satisfied 4. One of them held the view that book said was right. A. that what B. what that C. that D. all which 5. ---What do you suppose her look so upset? --- by her boyfriend again. A. making; Misunderstood B. had made; Being misunderstood C. made; Having been misunderstood D. has made; Misunderstood 6. ---Now that you like the house so much, why not buy it? ---Well, I can’t afford house. A. that a big B. a big that C. a that big D. that big a 7. I don’t think he is the right person . A. to depend B. depending on C. I can depend on D. to be depended. 8. If he had taken my advice, he a scientist now. A. will be B. is C. would be D. would have been 9. Have you ever asked Jenny the reason _______ may explain her absence from school? A. why B. for which C. that D. what 10. —Mike, what did our monitor say just now? —Every boy and