名校
1 . 如图,在四棱锥
中,底面
为直角梯形,
底面AB
,且
分别为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/a0c6aed7-43c7-4eeb-847f-c4f63843dacb.png?resizew=167)
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
平面
;
(2)求平面
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ef8b9f5b3b49502d57f8fbb1653c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b6f6fc481886284437168c5058d621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589c3cc1f331dbb2248b0829039df7f3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/a0c6aed7-43c7-4eeb-847f-c4f63843dacb.png?resizew=167)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
2022-12-17更新
|
208次组卷
|
2卷引用:陕西省宝鸡教育联盟2022-2023学年高三上学期教学质量检测(四)理科数学试题
解题方法
2 . 如图,正方体
的棱长为2,E,F分别为
和
的中点,P为棱
上的动点.
![](https://img.xkw.com/dksih/QBM/2022/4/4/2950972019892224/2951171755483136/STEM/1d23475a-2502-4d98-8a37-101b3f43b75e.png?resizew=217)
(1)是否存在点P使
平面
?若存在,求出满足条件时
的长度并证明;若不存在,请说明理由;
(2)当
为何值时,平面
与平面
所成锐二面角的正弦值最小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://img.xkw.com/dksih/QBM/2022/4/4/2950972019892224/2951171755483136/STEM/1d23475a-2502-4d98-8a37-101b3f43b75e.png?resizew=217)
(1)是否存在点P使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db807b09cc550f476b3f8fa0c6a14425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a681d311a864d38cf306a0c137cbcca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c407eeb34204a1df967b8fbe481cb04d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c407eeb34204a1df967b8fbe481cb04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
您最近一年使用:0次
2022-04-04更新
|
533次组卷
|
4卷引用:陕西省2022届高三下学期二模预测理科数学试题
陕西省2022届高三下学期二模预测理科数学试题(已下线)必刷卷03-2022年高考数学考前信息必刷卷(新高考地区专用)江苏省连云港市灌南县2021-2022学年高二下学期期中数学试题(已下线)专题19 空间几何解答题(理科)-2
名校
3 . 如图,已知三棱柱
中,侧面
底面
为等腰直角三角形,
.
![](https://img.xkw.com/dksih/QBM/2022/2/13/2915478992084992/2918496875298816/STEM/df3ea88191e440118041f55865aa92c6.png?resizew=182)
(1)若O为
的中点,求证:
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce04b35c265cc9c48b60204bd2f718ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7100609b771b73f1e169d5462b73fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209acf15985d1ea1ad86fc4a37e38c0b.png)
![](https://img.xkw.com/dksih/QBM/2022/2/13/2915478992084992/2918496875298816/STEM/df3ea88191e440118041f55865aa92c6.png?resizew=182)
(1)若O为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000da9bafa0bddcfdd1085c528d59c70.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
您最近一年使用:0次
2022-02-17更新
|
596次组卷
|
2卷引用:陕西省咸阳市2022届高三下学期一模理科数学试题
名校
4 . 如图,
为圆锥的顶点,
为底面圆心,点
,
在底面圆周上,且
,点
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/6eac220e-36d5-4924-8579-2cb8998cc878.png?resizew=141)
求证:
;
若圆锥的底面半径为
,高为
,求直线
与平面
所成的角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/dc1eb76fe74cba30f7cbcde349ba80da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/6eac220e-36d5-4924-8579-2cb8998cc878.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/464e16e3387532eb66521b4e97791cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97fa483ce5e3575ff399722caba7b943.png)
您最近一年使用:0次
2020-09-22更新
|
1467次组卷
|
7卷引用:陕西省西安市2022届高三下学期第二次质量检测理科数学试题