名校
1 . 下列命题为真命题的序号是( )
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05a0c4bc4f6f16e4c45cbcfa8a716ee.png)
②若向量
和
反向,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2244a614a4f1b0dec95655f44da3c67.png)
③若
,则
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e91d4507cf164a3789dd17b55a0e6fc.png)
④若
,则
为钝角三角形
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05a0c4bc4f6f16e4c45cbcfa8a716ee.png)
②若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2244a614a4f1b0dec95655f44da3c67.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab14f1db85f43583c37c416c1bcacd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b7ca4667865ebe617fa6539e8d11fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e91d4507cf164a3789dd17b55a0e6fc.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8fb2b99cac771591c4b899fb3c5cb46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.①② | B.②③ | C.③④ | D.①④ |
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2 . 新冠肺炎波及全球,我国对多个国家进行资源援助,其中包括2个亚洲国家(伊朗、菲律宾)和3个欧洲国家(意大利、塞尔维亚、希腊),若从这5个国家中任选2个国家派遣专家团队支援当地疫情防控.
(1)求这2个国家都是欧洲国家的概率.
(2)求这2个国家至少有一个亚洲国家且包括塞尔维亚的概率.
(1)求这2个国家都是欧洲国家的概率.
(2)求这2个国家至少有一个亚洲国家且包括塞尔维亚的概率.
您最近一年使用:0次
2023-03-07更新
|
490次组卷
|
2卷引用:四川省成都市成都列五中学2020-2021学年高二上学期期中数学理科试题
名校
3 . 成都列五中学双桥校区,红星路校区,双园巷校区学生人数之比依次为
,现用分层抽样方法抽出一批中学生去参加2021年在成都举办的世界大学生运动会志愿者培训,现在在双园巷校区选了8名志愿者,那么全校应选____________ 名志愿者.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014510bd35fd8d7a411384263755d5d5.png)
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解题方法
4 . 已知圆C经过(2,3)和(0,1)两点,再从条件①、条件②这两个条件中选择一个作为已知,解答以下问题
(1)求圆C的方程;
(2)过
的动直线
与圆C相交于
两点,当
时,求直线l的方程;条件①:圆心在x轴上方且与直线
相切;条件②:圆心C在直线
.
(1)求圆C的方程;
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355c8e295cd0e7895a7bcabb31ebcf13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1576770308cd3a340859c462b557ed9.png)
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5 . 如图,抛物线
与
轴交于
,
两点(点
在点
的左侧),与
轴交于点
.直线l与抛物线交于
,
两点,与
轴交于点
,点
的坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/16944d51-8825-4e6c-a8d1-26dde7f86c24.png?resizew=170)
(1)请直接写出
,
两点的坐标及直线
的函数表达式;
(2)若点
是抛物线上的点,点
的横坐标为
,过点
作
轴,垂足为
.
与直线
交于点
,当点
是线段
的三等分点时,求点
的坐标;
(3)若点
是
轴上的点,且
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0116aca690b431a7b75627d8464e2260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de012bf98f137d6db8975496fddd3ba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/16944d51-8825-4e6c-a8d1-26dde7f86c24.png?resizew=170)
(1)请直接写出
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc58a1fdbc1d6e068d355ddca5d8e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3a3db6d96518255f96ad7fc1ac98f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eec1601d2d3eeb48a1a2b787ed801a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
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6 . 如图,双曲线
与直线
交于
两点,点
在双曲线
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/957ebc03-e753-4a42-848a-979e41ca99f6.png?resizew=217)
(1)设
交
轴于点
,若
,求点
的坐标;
(2)连接
,得到
,若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e11d5bff57e56ce82c2339f2d71ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c914e2321e28c2c268e90354db0bf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827539d066d1b78e7ef8bc1569864971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e11d5bff57e56ce82c2339f2d71ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6232dc74b15e4acb0ac3482a1cbe6a52.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/957ebc03-e753-4a42-848a-979e41ca99f6.png?resizew=217)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac7941c65535ecb0a409dc0ca832305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
您最近一年使用:0次
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7 . 李老师为了解学生疫情期间“空中课堂“”的学习情况,对部分学生进行了调查,并将调查结果分为四类,A:很好;B:较好;C:一般;D:较差.制成以下两幅不完整的统计图,请你根据统计图解答下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/7f6bd3f9-10fa-4ab2-9923-2776cffb6342.png?resizew=472)
(1)李老师一共调查了_____名同学;
(2)B类女生有_____名,D类男生有_____名,将下面条形统计图补充完整;(温馨提示:请画在答题卷相对应的图上)
(3)为了共同进步,李老师想从被调查的A类和D类学生中各随机选取一位同学进行“一帮一”互助学习,请用列表法或画树状图的方法求出所选两位同学恰好是一男一女的概率.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/7f6bd3f9-10fa-4ab2-9923-2776cffb6342.png?resizew=472)
(1)李老师一共调查了_____名同学;
(2)B类女生有_____名,D类男生有_____名,将下面条形统计图补充完整;(温馨提示:请画在答题卷相对应的图上)
(3)为了共同进步,李老师想从被调查的A类和D类学生中各随机选取一位同学进行“一帮一”互助学习,请用列表法或画树状图的方法求出所选两位同学恰好是一男一女的概率.
您最近一年使用:0次
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解题方法
8 . 如图,在平面直角坐标系中,半径为
的圆B经过原点O,且与x,y轴分交于点A、C,点C的坐标为
,
的延长线与
的切线
交于点
,则经过
点的反比例函数的解析式为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/08e35047-3b2f-4e6b-a7a3-7d5e6a269995.png?resizew=177)
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9 . 在平面直角坐标系中有两点
,
,若二次函数
的图象与线段
只有一个交点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85dd382fa447b567a9de87cac1990d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302e421a250119f34d8f3c9928730490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae716e1168534de81763d2587257a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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10 . 方程
的解是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c99042bf8619e05534c3b5c084ecbb8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-22更新
|
295次组卷
|
2卷引用:福建省泉州第五中学2020-2021学年高一上学期开学考试数学试题