广东省佛山市第一中学2022-2023学年高一下学期第一次教学质量检测试题 数学参考答案与评分标准

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佛山一中 2022~2023 学年下学期高一第一次教学质量检测
数学参考答案与评分标准
第一部分　选择题答案
题号 1 2 3 4 5 6 7 8 9 10 11 12
答案 A D D A B C A B ABC AC AD ABD
第二部分　填空题答案
13． ．
14． ．
15． ．
16．；．(第一空 2分，第二空 3分)
第三部分　解答题答案与评分标准
17．解：
(1) ，且 ．
．····················································································2 分
．························································4分
(2) ， ， ， ．·········································6 分
．··········································································8 分
···································10 分
18．解：
(1) ，
，即 ，·········································2 分
．········································································································4 分
又 的取值范围为 ，
．··········································································································6 分
(2) ·····················································8 分
化为 ．·····················································································12 分
19．解：
(1)因为
······································3 分
所以 的最小正周期 ．····················································································4 分
令 ，解得 ，
所以 的对称中心为
．·································································6 分
(2)当 时， ， ．·······················································8 分
当 ，即 时， 取得最小值 ．·······················································10 分
当 ，即 时， 取得最大值 ．····························································12 分
20．解：
(1)由题意知： ．·············································································2 分
，故 ．······················································4 分
由题可取 ，
因此 ， ····························································6分
(2)令 ，则 ，即 ．·········································8 分
因为 ，则 ，所以 或 ，·······················································10 分
解得 或 ，
故游客甲坐上摩天轮 5分钟或 25 分钟时，距离地面的高度恰好为 30 米·································12 分
21．解：
广东省佛山市第一中学2022-2023学年高一下学期第一次教学质量检测试题 数学参考答案与评分标准.docx

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