新疆维吾尔自治区 新疆生产建设兵团
2008年初中毕业生学业考试
数学试卷参考答案及评分标准
（满分150分）
说明：本参考答案供阅卷教师评卷时使用．阅卷中，考生如有其它解法，只要正确、合理，均可得相应分值．
一、选择题（本大题共10题，每题5分，共50分） 题号 选项 1 D 2 A 3 C 4 C 5 B 6 D 7 C 8 A 9 B 10 A 二、填空题（本大题共4题，每题5分，共20分） 11．欢欢 12．（2，2） 13．x?4（答案不惟一） 14．6.71 三、解答题（本大题共10题，共80分） 15．（6分）解：原式?211·············································································· 4分 ??32?1 ·
44?32 ································································································ 6分
16．（6分）解：原式?(x?1)(x?1)x?1 ······································································· 1分 ?2(x?1)x?1?x?1x?1 ························································································································ 2分 ?x?1x?1(x?1)2?(x?1)2? ··············································································································· 3分
(x?1)(x?1)?4x ·································································································································· 5分 x2?1把x?0代入 原式?0 ·································································································································· 6分 或把x?2代入
?4?28原式?2··············································································································· 6分 ?? ·
2?13或把x??2代入 ?原式??4?(?2)8················································ 6分17．（6分）解：方法1：画树状图 ?． 2(?2)?13
·············································································· 4分
张、王两位老师同时被选中的概率是方法2：列表 张 王 李 赵 张 王张 李张 赵张 王 张王 李王 赵王 李 张李 王李 赵李 赵 张赵 王赵 李赵 1． ············································································ 6分 6 ······························································· 4分 张、王两位老师同时被选中的概率是
1． ············································································ 6分 618．（8分）解法1：如图，连结OA，延长CO交⊙O于D， ∵l⊥OC，
∴OC平分AB． ∴AH=8． ······················································································ 3分 在Rt△AHO中，OH?AO2?AH2?102?82?6， ······· 6分
∴CH?4cm，DH?16cm．
答：直线AB向左移4cm，或向右平移16cm时与圆相切． ················································ 8分 解法2：设直线AB平移xcm时能与圆相切，
(10?x)2?82?102 ················································································································ 3分 x1?16
x2?4
∴CH?4cm，DH?16cm． ····························································································· 8分 答：略．
（只答一个方向的平移扣2分） 19．（9分） 解：（1）
吐鲁番葡萄 哈密大枣 平均数 8 8 方差 9 4 3??（4分）
（2）
·························································· （7分）
（3）①由于平均数相同，S大枣?S葡萄，所以大枣的销售情况相对比较稳定． ················ 8分 ②从图上看，葡萄的月销售量呈上升趋势． ········································································· 9分
（答案不惟一，合理均可得分） 20．（8分）解法1：设经过x秒时两人相距85m ································································· 1分 根据题意得：(4x)?(50?3x)?85 ················································································ 4分 化简得：x?12x?189?0