给出下列四个命题:
①若直线
那么
;
②一个长为
,宽为
的矩形,其直观图的面积为
;
③若函数
的定义域是
,则
的定义域是
;
④定义在
上的函数
,若
,则函数
的图象关于直线
对称.
其中所有正确命题的编号为__________ .
①若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09503ab9c8c6311b33739627a7897d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d6a7aec04e1d5768ef830b534460a7.png)
②一个长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62a0233031d4e5ecc0b60b51ac25ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244ea6a312d4b6831a6b833ea3f4fcd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f797b43e753c68aabb035681030ec84.png)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8138c4c94ac3223e8da5bae80c4c9ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745eb631342dcfee91d7d7e8ccb4375b.png)
④定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24ec47658b0c82f60fb30c648afd63e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
其中所有正确命题的编号为
更新时间:2020-05-09 10:29:05
|
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解题方法
【推荐1】若函数
的定义域是[-2,2],则函数
的定义域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff26491b344566f7bb04cbb7deb6baa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
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【推荐2】若函数
的定义域为
,则
的定义域为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92146c133ba2bdbda499f5af2bdda022.png)
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【推荐1】函数
与函数
的图象关于_________ 轴对称;函数
的图象关于_________ 轴对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf7675fc49cbdf3611ac547d85c8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1216d68ef2cd0605b47a1baf4950a16f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2fc382bf7f4b5e732f4bde3a1f6ac9.png)
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【推荐2】我们知道,函数
的图像关于坐标原点成中心对称图形的充要条件是函数
为奇函数,事实上,可以将其可推广为:函数
的图像关于点
成中心对称图形的充要条件是函数
为奇函数.则函数
的对称中心为_______ ,若
有四个零点,则这四个零点之和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d0969cb7acbeaa05a101a385348a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ffe13a3112acf545ee550cab301cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6b2b3ca48bc2f49e8d714bbd4b6d0c.png)
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【推荐1】如图,
是水平放置的平面图形
的直观图(斜二测画法).若
,则原
的面积是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d02d76af11a2b8bfb7d6e1b3c171f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15539af96d3064491809de3c92c8bb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://img.xkw.com/dksih/QBM/2021/5/19/2724632215019520/2724659105931264/STEM/2b819f0d91eb47d9952519f7b8a113fa.png?resizew=179)
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【推荐2】正三角形
的边长为
,如图,
为其水平放置的直观图,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2713679aa5f12e1d89d3a3d98b65212e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a71399ec88d4a3bd807e23bef04dce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a71399ec88d4a3bd807e23bef04dce6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/c5fd23d3-9bb2-4d72-938f-4007cbdc168c.png?resizew=200)
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【推荐1】如图,在三棱锥
,
平面
,点E、F(E与A、D不重合)分别在棱
、
上,且
.则下列结论中:正确结论的序号是________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/22c2cbff-660c-4310-9238-a9f807fb4676.png?resizew=159)
①
//平面
;
②
;
③
//
;
④直线
与
的距离等于直线
与
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c394c03f93a8ee828e61832bce6e56b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1a1fd2fc33e89f357cef772ff6cd0e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/22c2cbff-660c-4310-9238-a9f807fb4676.png?resizew=159)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35333abd7f02d663d15251bc5cbbf921.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
④直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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解题方法
【推荐2】给出下列四个命题:
①如果
是两条直线,且
,那么
平行于经过
的任何平面;
②如果直线
和平面
满足
,那么
与平面
内的直线不是平行就是异面;
③如果直线
,
,则
;
④如果平面
平面
,若
,
,则
.
其中为真命题为_________ .
①如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
②如果直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d6a7aec04e1d5768ef830b534460a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
③如果直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d6a7aec04e1d5768ef830b534460a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22374b9b90e04bd0e0e34ece26a89f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
④如果平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670684ed4962fcebce7b5a140510d066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ccd6a2f9117c17049cf60631bdefcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22374b9b90e04bd0e0e34ece26a89f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9144adeacf03b4e4f67a8f60923ffa85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
其中为真命题为
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