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1 . 为了打赢“脱贫攻坚”战役,国家设立了“中央财政脱贫专项资金”以保证对各省贫困地区的持续投入.小莹同学通过登陆国家乡村振兴局网站,查询到了2020年中央财政脱贫专项资金对28个省份的分配额度(亿元),并对数据进行整理和分析.图1是反映2020年中央财政脱贫专项资金分配额度的频数分布直方图,且在
这一组分配的额度分别是:25,28,28,30,37,37,38,39,39.图2是反映
年中央财政脱贫专项资金对自治区
和自治区
的分配额度变化折线图.则下列说法中正确的是( )
![](https://img.xkw.com/dksih/QBM/2023/9/11/3322403479527424/3324107053760512/STEM/eb9fe2daf56a40cfa9049f81f8ef13f1.png?resizew=550)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843844134461eb5aec125f0e345816e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9998d121fecf7e084dc72220594c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2023/9/11/3322403479527424/3324107053760512/STEM/eb9fe2daf56a40cfa9049f81f8ef13f1.png?resizew=550)
A.2020年,中央财政脱贫专项资金对各省份的分配额度的中位数为37.5亿元 |
B.2020年,某省获得的分配额度为95亿元,该额度在28个省份中由高到低排第六名 |
C.2016-2020年,中央财政脱贫专项资金对自治区![]() |
D.2016-2020年,中央财政脱贫专项资金对自治区![]() ![]() |
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2 . 定义:在平面直角坐标系中,对于点
,当点
满足
时,称点
是点
的“倍增点”,已知点
,有下列结论:
①点
,
都是点
的“倍增点”;
②若直线
上的点A是点
的“倍增点”,则点A的坐标为
;
③抛物线
上存在两个点是点
的“倍增点”;
④若点
是点
的“倍增点”,则
的最小值是
.
其中,正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1185fe2ea3fc2bf6bb3b09dd6b690d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46354969c0613de82c366f1fa5459c4b.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d018a15fb86e6d4dc3082ef8b062b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b78847c6a80fdf0c258607cefc607bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
③抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353b27715b12c8020985cee29deffdbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
④若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2433e2ed7f3dcabd27312c728ca654a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98ee8ce2c56dccae6b63b5a9ca022b8.png)
其中,正确结论的个数是( )
A.1 | B.2 | C.3 | D.4 |
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2023-09-13更新
|
60次组卷
|
2卷引用:四川省蒲江县蒲江中学2023-2024学年高一上学期入学摸底数学试题
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3 . 我国南宋时期数学家杨辉于1261年写下的《详解九章算法》,书中记载的图表给出了
展开式的系数规律.
![](https://img.xkw.com/dksih/QBM/2023/9/11/3322403479527424/3324107053359104/STEM/c2d84492bac04c1b9a77266ff8e61f1c.png?resizew=275)
当代数式
的值为1时,则x的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9216a0f9d6e65ea4937ab7bf102c5db.png)
![](https://img.xkw.com/dksih/QBM/2023/9/11/3322403479527424/3324107053359104/STEM/c2d84492bac04c1b9a77266ff8e61f1c.png?resizew=275)
当代数式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c417c43997b29b34bed69f725a64b8.png)
A.2或4 | B.2或![]() | C.2 | D.![]() |
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4 . 在平面直角坐标系
中,已知直线
与x轴交于点A,与y轴交于点B,点C在线段
上,以点C为顶点的抛物线M:
经过点B.
(1)求点A,B的坐标;
(2)求b,c的值;
(3)平移抛物线M至N,点C,B分别平移至点P,D,连接
,且
轴,如果点P在x轴上,且新抛物线过点B,求抛物线N的函数解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8648fb5353d892f0504ca5302a19d132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/dccb0a91-06ef-4bac-bd40-f2cb78621ee1.png?resizew=120)
(1)求点A,B的坐标;
(2)求b,c的值;
(3)平移抛物线M至N,点C,B分别平移至点P,D,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d6eb67e32034c7c7312d6442e5ef40.png)
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5 . 甲、乙两地间的直线公路长为400千米.一辆轿车和一辆货车分别沿该公路从甲、乙两地以各自的速度匀速相向而行,货车比轿车早出发1小时,途中轿车出现了故障,停下维修,货车仍继续行驶.1小时后轿车故障被排除,此时接到通知,轿车立刻掉头按原路原速返回甲地(接到通知及掉头时间不计).最后两车同时到达甲地,已知两车距各自出发地的距离y(千米)与轿车所用的时间x(小时)的关系如图所示,请结合图象解答下列问题:
(1)货车的速度是______千米/小时;轿车的速度是______千米/小时,
的值为 .
(2)求轿车距其出发地的距离y(千米)与所用时间x(小时)之间的函数关系式,并写出自变量x的取值范围.
(3)求货车出发多长时间两车相距90千米.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/8efe7778-b22e-4ceb-baa1-5baf2d8c270e.png?resizew=181)
(1)货车的速度是______千米/小时;轿车的速度是______千米/小时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)求轿车距其出发地的距离y(千米)与所用时间x(小时)之间的函数关系式,并写出自变量x的取值范围.
(3)求货车出发多长时间两车相距90千米.
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6 . 端午节是中国的传统节日,民间有端午节吃粽子的习俗,在端午节来临之际,某校七、八年级开展了一次“包粽子”实践活动,对学生的活动情况按
分制进行评分,成绩(单位:分)均为不低于
的整数.为了解这次活动的效果,现从这两个年级各随机抽取
名学生的活动成绩作为样本进行整理,并绘制统计图表,部分信息如下:
八年级10名学生活动成绩统计表
已知八年级
名学生活动成绩的中位数为
分.请根据以上信息,完成下列问题:
(1)样本中,七年级活动成绩为
分的学生数是___,七年级活动成绩的众数为___分;
(2)
_____,
_______;
(3)若认定活动成绩不低于
分为“优秀”,根据样本数据,判断本次活动中优秀率高的年级是否平均成绩也高,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/121ed3ef-9f02-4f0e-89b6-f392a4e5a3f1.png?resizew=229)
八年级10名学生活动成绩统计表
成绩(分) | 6 | 7 | 8 | 9 | 10 |
人数 | 1 | 2 | a | b | 2 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749082d415fedaedd79359ea0878ee14.png)
(1)样本中,七年级活动成绩为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(3)若认定活动成绩不低于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
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7 . 如图,
是同一水平线上的两点,无人机从
点竖直上升到A点时,测得A到
点的距离为
点的俯角为
,无人机继续竖直上升到
点,测得
点的俯角为
.求无人机从A点到
点的上升高度
(精确到
).参考数据:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7e9b5c91602e3f08cd9c4e4f7f28e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa14d8b3053423c575aa3d54226a704c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1200b104c9abc1b4caad8c4dd59758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d373148e1b03bc92c64f51e5640e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaa19eeaf415ed419e77fe92794f443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296417025b9af741f83aada2dcbe8043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f03ef7e24f1664462efb4987ea2c1d4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/f30ba876-4a38-47cd-b4d1-006211b60959.png?resizew=181)
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8 . 若
和
都是
的同类项,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb669ac1ce5f2a2d5de036012bdc94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8698bf0f595845f2a9af0690b7d962b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d359bae0823da6285ae21232109054f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8226eaa94300822bd2ef3f2d8810dca0.png)
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9 . 清初数学家梅文鼎在著作《平三角举要》中,对南宋数学家秦九韶提出的计算三角形面积的“三斜求积术”给出了一个完整的证明,证明过程中创造性地设计直角三角形,得出了一个结论:如图,
是锐角
的高,则
.当
,
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369ba3cba38acef0f6cda42261b4e8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cd446aac9c2e599532e7f00aafb23e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/ab9cce87-31d5-477c-9581-a555408df15a.png?resizew=143)
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解题方法
10 . 已知在
中,
,
,
;
(1)现将
绕点
顺时针旋转得到
,
i)如图1,当点
落在
上时,则
________.
ii)如图2,在旋转过程,连接
,
,试探究
,
的数量关系,并说明理由;
(2)如图3,延长
至点
,使
,连接
;现将
绕点
顺时针旋转得到
,
所在的直线与直线
交于点
,与线段
交于点
,当
是以
为腰的等腰三角形时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
(1)现将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
i)如图1,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/8af3012b-72f8-4934-a00c-ec8cafeda8db.png?resizew=136)
ii)如图2,在旋转过程,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/d8a868ff-5caf-46a1-b877-ab304641b325.png?resizew=160)
(2)如图3,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cfad1ba71a78d8f415335cde2f8c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87b2f781cafa7989d81f9bf8c42b150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/cc9e5418-63ff-4883-8b81-01ef1885fbe4.png?resizew=248)
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