名校
解题方法
1 . 如图为一块直四棱柱木料,其底面ABCD满足:
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/5eff88d9-bb16-415a-a4ff-583715036902.png?resizew=161)
(1)要经过平面
内的一点P和棱
将木料锯开,在木料表面应该怎样画线?(借助尺规作图,并写出作图说明,无需证明)
(2)若
,
,当点P在点C处时,求直线AP与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/5eff88d9-bb16-415a-a4ff-583715036902.png?resizew=161)
(1)要经过平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c52091eb745de866044477641a7c55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8745717601cd14b46c2298919b41b502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f9660760804ff01bbc9319b7342191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c52091eb745de866044477641a7c55f.png)
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2022-01-23更新
|
652次组卷
|
3卷引用:吉林省吉林市2021-2022学期高三上学期第二次调研测试数学(理)试题
吉林省吉林市2021-2022学期高三上学期第二次调研测试数学(理)试题(已下线)模块一 专题2 A 空间向量的应用基础卷 期末终极研习室高二人教A版福建省安溪一中、养正中学、惠安一中、泉州实验中学四校2023-2024学年高三下学期返校联考数学试题
解题方法
2 . 若双曲线的渐近线方程为
,则该双曲线的方程可以是______ .(只需填写满足条件的一个方程)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10273b05ad8210d8db07639c4d149fd.png)
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3 . 如图,已知圆
的半径为定长
是圆
所在平面内一个定点,
是圆上任意一点,线段
的垂直平分线
和直线
相交于点
.当点
在圆上运动时:(1)当点A在圆
内且不与点
重合时,点
的轨迹是__________ (从圆、椭圆、抛物线中选择一个填写);(2)当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c0700b92ddfc927f81fa96059d70e9.png)
__________
(从>,=,<中选择一个填写)时,点
的轨迹是双曲线的一支.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694032f6e765cbb0391c87c41ad629f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c0700b92ddfc927f81fa96059d70e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/24/6d6582d9-f283-4315-9dd9-b57b5603cb14.png?resizew=96)
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2023-01-18更新
|
237次组卷
|
3卷引用:山东省菏泽市2022-2023学年高二上学期期末数学试题
4 . 在下列四个命题中:
①命题“若
,则
、
互为倒数”的逆命题;
②命题“若两个三角形面积相等,则它们全等”的否命题;
③命题“若
,则
或
”的逆否命题;
④命题“
,
”的否定.
其中真命题有________________ (填写正确命题的序号).
①命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377a2333ff8c63cbdb20b882d6d5a7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②命题“若两个三角形面积相等,则它们全等”的否命题;
③命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34982de5d3f287cd570ea30eb46d185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515713922221bfa136afa32822bb7ad1.png)
④命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1485a4756c56f1126b9825d5019d544c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca7f303621625b34a0c0905889bb711.png)
其中真命题有
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5 . 若命题
,
,命题
函数
在R上是增函数,则p是q的__________ 条件(填写:充分不必要,必要不充分,充要,既不充分也不必要).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fac11dd95cb4b78adb817fad02dedb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8477115bbc1adee6a08ab0634811c4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe357aa87fc825eda32b1b964a67aa8.png)
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6 . 甲、乙两位同学分别做下面这道题目:在平面直角坐标系中,动点
到
的距离比
到
轴的距离大
,求
的轨迹.甲同学的解法是:解:设
的坐标是
,则根据题意可知
,化简得
; ①当
时,方程可变为
;②这表示的是端点在原点、方向为
轴正方向的射线,且不包括原点; ③当
时,方程可变为
; ④这表示以
为焦点,以直线
为准线的抛物线;⑤所以
的轨迹为端点在原点、方向为
轴正方向的射线,且不包括原点和以
为焦点,以直线
为准线的抛物线. 乙同学的解法是:解:因为动点
到
的距离比
到
轴的距离大
. ①如图,过点
作
轴的垂线,垂足为
. 则
.设直线
与直线
的交点为
,则
; ②即动点
到直线
的距离比
到
轴的距离大
; ③所以动点
到
的距离与
到直线
的距离相等;④所以动点
的轨迹是以
为焦点,以直线
为准线的抛物线; ⑤甲、乙两位同学中解答错误的是________ (填“甲”或者“乙”),他的解答过程是从_____ 处开始出错的(请在横线上填写① 、②、③、④ 或⑤ ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4119e377d6aabf8a5b95cb8f68963a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc32e6ba9295940d1185eb36682f53d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd814daded0614a63c4f9d4eb6538b33.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d462ed4ec22e8fe51f09eb30e8792532.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123a6eaa56d0b9bd254c6d1361d9114c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c45f869bd81fecff54a990aec9d12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c0a9f7384f94de489ebf119fe45558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://img.xkw.com/dksih/QBM/2020/1/9/2373416240177152/2374112457277440/STEM/78967d5dd05c4092a839695b53af67a5.png?resizew=140)
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7 . “
”是“
”成立的______ 条件
在“充分不必要”,“必要不充分”,“充要”,“既不充分又不必要”中选一个填写
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73693d905667035addc510264645bc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81bace06911edf2efbabeea969643e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
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8 .
“复数
为虚数单位
是纯虚数”是
“
”的______ 条件
请在“充分不必要”、“必要不充分”、“既不充分又不必要”、“充分必要”选择一个最为恰当的答案填写在横线上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34cec359e806a3354757dea0a6a3aabb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d3e8c4cf1d11c293f0b3b5cc86d403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce8411079aca57f17d3ead32798f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
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17-18高二·全国·单元测试
9 . 在等比数列{an}中,“a1<a3”是“an<an+1”的
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名校
10 . 已知原命题为“若0<x<1,则x2<1”,写出它的逆否命题形式_____ ,它是_____ (填写”真命题”或”假命题”).
您最近一年使用:0次
2018-12-23更新
|
375次组卷
|
3卷引用:【全国百强校】浙江省余姚中学2018-2019学年高二上学期期中考试数学试题