名校
1 . 若化简
的结果为
,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195812e1199a7e78beae678e3ec39a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553086e03105c838cd28997d55b5dd01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2 . 已知点
是一次函数
的图象与反比例函数
的图象在第一象限内的交点,点
在
轴的负半轴上,且
(
为坐标原点),则
的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef854dfcbba9b7dedc1bc52f6332b011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fca3734de79f7f50b552ef62b29dc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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2卷引用:湖南师范大学附属中学2021-2022学年高一上学期入学考试数学试题
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3 . 某校把学生的笔试、实践能力和成长记录三项成绩分别按50%、20%和30%的比例计人学期总评成绩,90分以上为优秀.甲、乙、丙三人的各项成绩(单位:分)如下表,学期总评成绩优秀的学生是___________ .
笔试 | 实践能力 | 成长记录 | |
甲 | 90 | 83 | 95 |
乙 | 88 | 90 | 95 |
丙 | 90- | 88 | 90 |
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4 . 甲、乙两人骑自行车,同时从相距
的两地相向而行,甲、乙两人的速度和为
,则经过___________
,两人相遇.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce23049ad8aaee5c9479ee5d8bb94de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc49f9d352587b3a295de69e97ae2e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933311c0c090e1138e4dd388b7adf8a.png)
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5 . 光线从如图所示的角度照射到平面镜上,然后在两平面镜之间来回反射,已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4b6ffec3d56ec3af80f426b719cccc.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d02d80d4e2f6f984036bd22a1a2077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd26d723aacc89ed7052f84f05a8868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4b6ffec3d56ec3af80f426b719cccc.png)
![](https://img.xkw.com/dksih/QBM/2022/8/24/3051581032407040/3054416255418368/STEM/3f53d8be52fd495181d6c9c7c475b692.png?resizew=225)
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6 . 一圆周上有三点
,
,
,
的平分线交边
于
,交圆于
,已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709b7320cb7e91acb69cb6894de662cc.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709b7320cb7e91acb69cb6894de662cc.png)
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7 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdee64cdeccffd2bcd980b0d18aa0f9.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f9016d60572b92a587fa225039162b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdee64cdeccffd2bcd980b0d18aa0f9.png)
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8 . 如图,在
中,
平分
于
,点
是
的中点,
,则
关于
的函数关系式为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd546d3e2c094975facea6a6faae770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e494edfae2c7cabe357762f40972e16d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d70e5d13db498f1c8a2e017c56e58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/29/5bde2369-f460-48db-8da3-2e69b2198985.png?resizew=206)
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9 . 袋中装有3个红球,1个白球,它们除了颜色以外都相同,随机从中摸出一球,记下颜色后放回袋中充分摇匀后,再随机摸出一球,两次都摸到红球的概率为___________ .
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10 . 在平面直角坐标系中,已知
的坐标为
,将其绕着原点按逆时针方向旋转
得到
,延长
到
使
,再将
绕原点按逆时针方向旋转
得到
,延长
到
使
,如此继续下去,则点
的坐标为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ae18c3151ef1283fbd7854562fdfc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2960b53c9cba842a29e0bed2242974d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f3055d28708ae8ad656360dfef03ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e24e843f778f53af4f3c9e25faa809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b5039701cd894742e00f532b73f8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996bc6f000889d293aac74becc202fe2.png)
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4卷引用:湖南省长沙市第一中学2021-2022学年高一上学期入学考试数学试题
湖南省长沙市第一中学2021-2022学年高一上学期入学考试数学试题(已下线)第02讲 等差数列及前n项和(练)(已下线)4.3.1.2 等比数列的性质及应用(练习)-2022-2023学年高二数学同步精品课堂(人教A版2019选择性必修第二册)新疆维吾尔自治区乌鲁木齐市第六十八中学2024届高三下学期2月月考数学试题