解题方法
1 . 下图是某市2016年至2022年生活垃圾无害化处理量y(单位:万吨)与年份t的散点图.
(2)建立y关于t的回归方程(系数精确到0.01),预测2024年该市生活垃圾无害化处理量.
参考数据:
,
,
,
.
参考公式:
,
;相关系数
.
(2)建立y关于t的回归方程(系数精确到0.01),预测2024年该市生活垃圾无害化处理量.
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3e6db46529684e4794703da135300a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf33a251e9a1f2875032f14c15a52ee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb48f6ff4138a9b968d5b75fe777ff9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923557f74987174405af890c9a772c48.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877ef29971341d8c39cce750b51fb5f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a27ee2016a157f6a463e86fff92d73c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a337578911e445bea5adf2dae2427ed0.png)
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2 . 已知集合
或
,
,则集合
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b034c7e8b3d05a15b5c9a3460ab8125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5806497d3b5ec15d89eef8202d54d7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7be631835f53c21aead10841cc654e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933347fd4d93628c8a9cb6a540560471.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知实数
满足约束条件
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24c81898be14753bea30a1ecda67af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0945e2b7fa4e521f9d07593f89b16d04.png)
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解题方法
4 . 若复数z满足
,则在复平面内z对应的点位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b26f2f2fc053149be9fe19a613e9ef.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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2024-03-03更新
|
268次组卷
|
3卷引用:四川省巴中市普通高中2024届高三“一诊”考试理科数学试题
四川省巴中市普通高中2024届高三“一诊”考试理科数学试题(已下线)考点6 复数的概念与几何意义 --2024届高考数学考点总动员【练】安徽省芜湖中华艺术学校2023-2024学年高二下学期3月月考数学试题
5 . 在三棱锥
中,侧面
是等边三角形,平面
平面
,
且
,则三棱锥
外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知直线m,n与平面
,
、
,下列命题中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2024-03-03更新
|
965次组卷
|
3卷引用:四川省巴中市普通高中2024届高三“一诊”考试理科数学试题
7 . 如图,在直三棱柱
中,
,M,N分别是
,
的中点,
.
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002c709e9fee8d477bddfe595cc760f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023cf6e8d7c5fb346cff654926839aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf663ee2bf1ac5c43f4306fa0cf250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770b4f16694b2bd79a1a93d776a82680.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f06f938f4b64f78fcfc99cd655ca9dd.png)
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解题方法
8 . 已知椭圆
的离心率为
,左右顶点分别为A,B,G为C的上顶点,且
的面积为2.
(1)求椭圆C的方程;
(2)过点
的动直线与C交于M,N两点.证明:直线
与
的交点在一条定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc727c642cbc2181476b7dd8eca471e.png)
(1)求椭圆C的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
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9 . 已知奇函数
的导函数为
,若当
时
,且
.则
的单调增区间为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94be9984077d5a2d3f3acbd347b6280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6e1d0db0980774b5c2d650bfc2dda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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10 . 在直角坐标系
中,已知曲线
(
为参数)和圆
.以坐标原点O为极点,以x轴的正半轴为极轴建立极坐标系.
(1)求曲线
和圆
的极坐标方程;
(2)设过点O倾斜角为
的直线l分别与曲线
和圆
交于点A,B(异于原点O),求
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1197f603335750852fdebc52678a8177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800cc7f86ac1d6474e945a8a010336ef.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设过点O倾斜角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59374679c4db9444ec709835579ce4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7095891a1950617b3388a3b91de66ded.png)
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