(1)叙述两个平面平行的判定定理,并证明;
(2)如图,正方体
中,
分别为
的中点,求证:平面
平面
.
(2)如图,正方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904f68a876e0898e2c6b8e4ad90d245.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88a05162ce6fae872f415e4581b83ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c241f900cb6ed341c137a3d71216a4.png)
22-23高二上·上海静安·阶段练习 查看更多[7]
上海市新中高级中学2022-2023学年高二上学期10月月考数学试题(已下线)第8章 立体几何初步 重难点归纳总结-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)8.5.3 平面与平面平行 (精讲)(1)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)专题09 基本图形的平行与垂直-期中期末考点大串讲(苏教版2019必修第二册)(已下线)第10章 空间直线与平面(单元基础卷)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)(已下线)专题04平面与平面的位置关系(2个知识点8种题型)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(沪教版2020必修第三册)(已下线)专题19 平面与平面平行-《重难点题型·高分突破》(人教A版2019必修第二册)
更新时间:2022-11-25 14:48:12
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解答题-作图题
|
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【推荐1】底面为菱形的直棱柱
中,
分别为棱
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/ff2d6adc-e429-40f4-b0dd-41e37cc5fbdd.png?resizew=156)
(1)在图中作出一个平面
,使得
,且平面
.(不必给出证明过程,只要求作出
与直棱柱
的截面.)
(2)若
,
,求平面
截直棱柱
所得两个多面体的体积比.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7ddbb49c644bf06ccbad885ba2c84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa7d487586e3702f55cd2d6466654bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760ad64e1f3e9fe178e69897076db07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f83044285fd2454d070d0ba68c2bdab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/ff2d6adc-e429-40f4-b0dd-41e37cc5fbdd.png?resizew=156)
(1)在图中作出一个平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac5e50bf09ceadd1715cd1265b5477a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b630899668e87bd8125fba74d2bcb818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73e942f24f8b4bd8b101653f7856558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac5e50bf09ceadd1715cd1265b5477a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7ddbb49c644bf06ccbad885ba2c84a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6c54c995ccebc9eac8338878c41fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ee950b4788693c76bc5a81ae477f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7ddbb49c644bf06ccbad885ba2c84a.png)
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解答题-问答题
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解题方法
【推荐2】下面的说法正确吗?试说明理由.
(1)如果一个平面内的两条直线分别平行于另一个平面,那么这两个平面平行;
(2)平行于同一平面的两平面平行.
(1)如果一个平面内的两条直线分别平行于另一个平面,那么这两个平面平行;
(2)平行于同一平面的两平面平行.
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解答题-证明题
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名校
解题方法
【推荐1】如图,⊙
在平面
内,
是⊙
的直径,
平面
,
为圆周上不同于
的任意一点,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/3aa2a8e3-01a2-48c5-b240-cad8f67e064e.png?resizew=189)
(1)求证:平面
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5f302c1c2f7e1b46cad05594ed672e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06efe0d3b3f440fa760566420b9b82d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/3aa2a8e3-01a2-48c5-b240-cad8f67e064e.png?resizew=189)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8febfad1a7c86072a29336f18106946e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
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解答题-证明题
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【推荐2】正方体
中,
,
分别是
,
的中点.
与
所成角;
(2)求证:
平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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