名校
解题方法
1 . 如图所示,
是圆锥的一部分(A为圆锥的顶点),
是底面圆的圆心,
,
是弧
上一动点(不与
、
重合),满足
.
是
的中点,
.
![](https://img.xkw.com/dksih/QBM/2022/2/10/2913473877712896/2921446104268800/STEM/dd013b3a-2267-4654-8cdc-88b6edd2d93f.png?resizew=136)
(1)若
平面
,求
的值;
(2)若四棱锥
的体积大于
,求三棱锥
体积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7d022859b8853d7be8f2bf6487a693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8026ad627e8ae6c4acb9140a02181f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b710be34d39a3058bad08e397849e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5811e450dcff0e190c3d7378c08797c5.png)
![](https://img.xkw.com/dksih/QBM/2022/2/10/2913473877712896/2921446104268800/STEM/dd013b3a-2267-4654-8cdc-88b6edd2d93f.png?resizew=136)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3123da0313d458c833e82aaa234b9117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed01d1ff5a7f21a68fb3a1e5c7f393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28ba8a560e3b54f9346f2a6a805c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40cc229e0951e5d141f3c8341d17c593.png)
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2022-02-21更新
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