2017年黄冈市高三3月份质量检测理科数学试题及答案

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1、三、解答题17.（1）由已知得化简得，是公差为2的准等差数列当为奇数时，当为偶数时，利用错位相减法可得答：该同学参加考试所需费用期望为元................................12分20.（1）由已知得在矩形中，……………………2分在中，……………5分………………6分21.设直线由坐标原点到的距离为又所以……………………………………5分（2）由（1）知椭圆的方程为。设由题意知的斜率一定不为0，故不妨设代入椭圆的方程中整理得，显然由韦达定理有①……………………………7分假设存在点，使成立，则其充要条件为：点的坐标为，点在椭圆上，即整理

2、得又在椭圆上，即故②将及①代入②，解得…………11分设。取值范围为………………………………9分（3）即需证设则需证，即需证设（）上递增，原不等式得证。……………………………………14分其它证法可参照给分。命题人：蕲春县一中陈继雄审题人：黄冈市教科院丁明忠黄州区一中童云霞内部资料仅供参考9JWKffwvG#tYM*Jg&6a*CZ7H$dq8KqqfHVZFedswSyXTy#&QA9wkxFyeQ^!djs#XuyUP2kNXp6X4NGpP$vSTT#UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&k

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