名校
解题方法
1 . 如图,梯形
中,
,
,
,
,将
沿对角线
折起,设折起后点
的位置为
,且平面
平面
,则下列四个命题中正确的是______________ .
![](https://img.xkw.com/dksih/QBM/2020/11/25/2600429741219840/2602501845647360/STEM/974ce97b-eab8-48e9-af3d-0ac014002564.png?resizew=220)
①
;
②三棱锥
的体积为
;
③
平面
④平面
平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37853ea1ed79b27e393857e50de3828f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75d7732c329dc20fe4752391708c768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d7ffb7889a31b267a85f1ea238138e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686e56830bfadfdde4e09d299f3738f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://img.xkw.com/dksih/QBM/2020/11/25/2600429741219840/2602501845647360/STEM/974ce97b-eab8-48e9-af3d-0ac014002564.png?resizew=220)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3c1d51659a78e0c3a97ed23d207d27.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5c6f918307097fc83013ef253baec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e90beb1c2ec9ee9ef9f879e2c6521a.png)
④平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6414f4b3c146558f9a503600f53d44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9cc9732ac7af6fbd727b113a563ca1.png)
您最近一年使用:0次
2 . 已知矩形
,沿
将
折起成
,若点
在平面
上的射影落在
的内部(包括边界),则四面体
的体积的最大值为__________ ,最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30593398a8a2990a7de33793a2e433c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ea25ef38e4afa8f75ffd0842890289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb4c6e9a723aa843e6ba62d7c1a3a6c.png)
您最近一年使用:0次
2022-11-02更新
|
219次组卷
|
2卷引用:北京市首都师范大学附属中学昌平学校2022-2023学年高二上学期期中考试数学试题