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1 . 海宝塔位于银川市兴庆区,始建于北朝晚期,是一座方形楼阁式砖塔,内有木梯可盘旋登至顶层,极目远眺,巍巍贺兰山,绵绵黄河水,塞上江南景色尽收眼底.如图所示,为了测量海宝塔的高度,某同学(身高173cm)在点
处测得塔顶
的仰角为
,然后沿点
向塔的正前方走了38m到达点
处,此时测得塔顶
的仰角为
,据此可估计海宝塔的高度约为__________ m.(计算结果精确到0.1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e0c2455a9e796bba6861503f0fe31b.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea06b78df3f0847f358714357a18d30.png)
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7日内更新
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311次组卷
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3卷引用:宁夏回族自治区银川九中、平罗中学、贺兰二高、西吉中学2024届高三第四次模拟考试联考数学(文)试题
宁夏回族自治区银川九中、平罗中学、贺兰二高、西吉中学2024届高三第四次模拟考试联考数学(文)试题福建省福州市部分学校教学联盟2023-2024学年高一下学期期末模拟考试数学试题(已下线)【高一模块一】难度8 小题强化限时晋级练(较难2)
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2 . 若
是奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b51983bf3e8dbc0b85db1ee7742311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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2024·宁夏银川·模拟预测
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3 . 已知函数
的定义域为R,则实数m的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8246808ce1d2280d86901c53dd453e6e.png)
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4 . 已知四边形
中,
,设
与
的面积分别为
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80480d02e19f8df2dc8015a74dd02cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be89b91f05f281190209b1e876299d57.png)
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2024-06-12更新
|
306次组卷
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2卷引用:宁夏银川市唐徕中学2024届高三下学期适应性考试数学(理)试题
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5 . 函数
(
且
)的图象恒过定点
,若
且
,
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32751c39a4200a960a21be7ba3bb36f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc6b91ee0383aa1149937f752697141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625b076f50e4a252aaa628f64ade741e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec022e65aafc4fc7dca683ecda67e5b.png)
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2024-06-12更新
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351次组卷
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2卷引用:宁夏银川市唐徕中学2024届高三下学期适应性考试数学(理)试题
6 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc903c19f7b3b0aa58cdb0cdb7b062a0.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a125a4ba99419d7957b40fac1b4132bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc903c19f7b3b0aa58cdb0cdb7b062a0.png)
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2024-06-11更新
|
367次组卷
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3卷引用:宁夏银川一中、昆明一中2024届高三下学期联合考试二模文科数学试卷
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7 . 已知函数
的图象关于直线
对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e361b9615c60f4e5c71902447ef9064f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b334dafda377c3db77647c8cf1e95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2024-06-10更新
|
456次组卷
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2卷引用:宁夏银川一中、昆明一中2024届高三下学期联合考试二模文科数学试卷
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8 . 红铃虫(Pectinophora gossypiella)是棉花的主要害虫之一,其产卵数与温度有关.现收集到一只红铃虫的产卵数y(个)和温度x(℃)的8组观测数据,制成图1所示的散点图.现用两种模型 ①,
,②
分别进行拟合,由此得到相应的回归方程并进行残差分析,进一步得到图2所示的残差图.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/9/62a92a79-73e4-464a-82d9-70ee12d7a482.png?resizew=444)
根据收集到的数据,计算得到如下值:
表中
;
;
;
;
(1)根据残差图,比较模型①、②的拟合效果,模型________ 比较合适?
(2)根据(1)中所选择的模型,求出y关于x的回归方程__________________ .
附:对于一组数据
,
,…,
,其回归直线
的斜率和截距的最小二乘估计分别为
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a9622a53d958999eecaefc85597b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1449e6e0d5478519a1131b25cc2bc818.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/9/62a92a79-73e4-464a-82d9-70ee12d7a482.png?resizew=444)
根据收集到的数据,计算得到如下值:
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
25 | 2.9 | 646 | 168 | 422688 | 50.4 | 70308 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb60609a885037dfe04526ee5c7f0fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db13f7675d0f843d84935aeffd1eb44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0cd72e800a924d4579dde22f84c3c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79fb3265a6c81db8c6d36d5336bb5c0a.png)
(1)根据残差图,比较模型①、②的拟合效果,模型
(2)根据(1)中所选择的模型,求出y关于x的回归方程
附:对于一组数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ab012a4299d9bfc450a4a71965aeb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b73e34c383a303b9a6d97023ed42ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a9634e5f90010ea3cd15b6e182f3cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c105c5aa374f7e2b1bc7615c4809020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90e921b5c60fd8c106912546555ff2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99647004e34da0cefe847e6dd2b05d2.png)
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9 . 如图,在
中,
,
为边
上的一点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11a9c4bbe179a997a3ad4e16be27673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23caf8172a90ce9808686c622d28c87d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
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2024-04-17更新
|
630次组卷
|
3卷引用:宁夏银川市唐徕中学2024届高三下学期第四次模拟理科数学试题
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10 . 如图,在边长为3的等边三角形
中,
交
于点
点满足
,过
点的直线交
于点
,交
于点
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c6c45c4d19365b7928d81365585040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e447c27b2e2acf936fa64e3a13bef727.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/18/45aa1023-0595-4d51-9839-0f0b9e482450.png?resizew=141)
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