名校
1 . 如图,四棱柱
的底面
为正方形,
平面
,
,
,点
在
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/8dfdc6aa-5532-4eef-9f62-0981ad9c547c.png?resizew=185)
(1)求证:
;
(2)求直线
与平面
所成角的正弦值;
(3)求二面角
的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddbb0422a136f45653c8c369f2d75fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05931cb74b16f5afbf58f41dfa9abe3a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/8dfdc6aa-5532-4eef-9f62-0981ad9c547c.png?resizew=185)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8344765e451fd255948fc56d247418c2.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4be6ee295b46490a1eed671b6975a0.png)
您最近一年使用:0次
名校
2 . 在梯形
中,
,
,
,P为AB的中点,线段AC与DP交于O点(如图1).将
沿AC折起到
位置,使得平面
平面
(如图2).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/7f4fd035-e109-4774-8bba-06663dbfbeae.png?resizew=495)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
平面
;
(2)求二面角
的大小;
(3)线段
上是否存在点Q,使得CQ与平面
所成角的正弦值为
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbaccd578a43b2397c8bdd50592fa07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89ee6576c35c682bcb0eff43bd958d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6829c6214e60edbfbf1e31601c6bcb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb3c5eea67eecdd13a2e6cd60d1d67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb49d869110f27140f5c1934143db2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/7f4fd035-e109-4774-8bba-06663dbfbeae.png?resizew=495)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde275553b4e49f5adffe606875c6ec3.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845b65a3d273b6792d63f3d925cd4bc0.png)
(3)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be451ce5fad246389ccf4864929d81d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e95fa1c3bcd3d0464fcadf248e90ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80dbac2006d30c49943f0241fd976eb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b188172a322d69106c638e1603ac13f.png)
您最近一年使用:0次
2022-11-08更新
|
558次组卷
|
6卷引用:北京市第五十七中学2021-2022学年高二上学期期末数学试题
北京市第五十七中学2021-2022学年高二上学期期末数学试题北京市朝阳区清华大学附属中学朝阳学校2022-2023学年高二上学期期中考试数学试题广东省广州市第十六中学2022-2023学年高二上学期期中数学试题上海市青浦高级中学2022-2023学年高二上学期12月质量检测数学试题(已下线)第03讲 空间向量的应用-【帮课堂】2021-2022学年高二数学同步精品讲义(苏教版2019选择性必修第二册)广东省广州市第五中学2023-2024学年高二上学期期中数学试题
名校
3 . 如图,在五面体ABCDEF中,四边形ABCD是矩形,平面ADE⊥平面ABCD,AB=2AD=2EF=4,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/8/5031f688-3115-4e43-a57b-f938070b0ebe.jpg?resizew=214)
(1)求证:
;
(2)求直线AE与平面BCF所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e6292216592a5eba3293a85bbdb3e1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/8/5031f688-3115-4e43-a57b-f938070b0ebe.jpg?resizew=214)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/984006c7d9e44824f76aa877bf79636c.png)
(2)求直线AE与平面BCF所成角的正弦值.
您最近一年使用:0次
2022-11-08更新
|
376次组卷
|
5卷引用:北京市铁路第二中学2022-2023学年高二上学期期中考试数学试题
名校
解题方法
4 . 如图,四棱锥
的底面为菱形,
,
,
底面
,
,
分别是线段
,
的中点,
是线段
上的一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/995042db-ddac-4478-a675-e326cde38a77.png?resizew=142)
(1)若
平面
,求证:
为
的中点;
(2)若
是直线
与平面
的交点,试确定
的值;
(3)若直线
与平面
所成角的正弦值为
,求三棱锥
体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5a86745bfe1dfe7bc2683811210330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b5d2943803894bc5d204e75e2d172b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/995042db-ddac-4478-a675-e326cde38a77.png?resizew=142)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dace90bcafd1fbf25f272b05c3875f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b544c9dfc27b50fcde4b12d694c12ad4.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bbc7e0de28c652ae10a8db5b4e2687.png)
您最近一年使用:0次
解题方法
5 . 如图,在四棱锥
中,底面
为直角梯形,且
,
,侧面
底面
,
,
,
,
为侧棱
的中点 .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/c5b85e5d-4aea-4a70-a28c-51aee6d4eeb5.png?resizew=173)
(1)求证:
平面
;
(2)求二面角
的余弦值;
(3)(i)求点
到平面
的距离;
(ii)设
为侧棱
上一点,写出四边形
周长的最小值.(直接写出结果即可)
![](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/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c6c11ccee199cb04792115cee11fe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d5a42a8509e15a0dca186f06be73dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8c91e4c85a9da7f54b2237d870a50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/c5b85e5d-4aea-4a70-a28c-51aee6d4eeb5.png?resizew=173)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053af8641980763a7f0e77beefe0712d.png)
(3)(i)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(ii)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6480f384476190883f06c0289c7519.png)
您最近一年使用:0次
6 . 如图,在四棱锥
中,
平面
,底面
为矩形,
,
,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/233b1f9f-80d1-411d-960a-dfc4eef21b21.png?resizew=253)
(1)求证:
平面
;
(2)求直线
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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb886ce5fa68b1bafeed307589576348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519420fe3878db5a3b61ac2882e5478a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/233b1f9f-80d1-411d-960a-dfc4eef21b21.png?resizew=253)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b70cef0b79ca64acbb67dc667fc53b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
您最近一年使用:0次
7 . 如图,在四棱锥
中,底面
为正方形,平面
平面
,点
在线段
上,
∥平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/251999d1-7d92-4668-8508-8b87948de17e.png?resizew=251)
(1)求证:
为
的中点;
(2)求平面
与平面
所成角的大小.
![](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/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b05d9236a72555e4b0ceaa02ace108.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/251999d1-7d92-4668-8508-8b87948de17e.png?resizew=251)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次
名校
8 . 已知:四棱锥
的底面是直角梯形,
平面
,
,
,
,
,点E在棱
上,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/ad1ee034-69bc-4538-8661-38912b3ae43c.png?resizew=204)
(1)求证:
平面
;
(2)求证:
;
(3)若F是棱
上的点,满足
与平面
所成角的正弦值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4795ee1f96b430529934e2231b38885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a301baf6cc0628366e6661a87a2d93ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c3ec174b1ce835cc8737ff6ce57e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee41428bf3ee6db18684e5e319bfe668.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/ad1ee034-69bc-4538-8661-38912b3ae43c.png?resizew=204)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e782230f15c1bcebfe2ea2703b746b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ddae20626f9aaac616d2a3b5d95bd.png)
(3)若F是棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08dd1e25420bb85b96dea24e5d16abee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243fcd0b5e7fc1a4d55e191f5fcbd332.png)
您最近一年使用:0次
名校
9 . 如图,在四棱锥
中,
平面ABCD,底面ABCD为平行四边形,
,
,
,E为PD的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/ae50251a-01c8-418f-8d44-47d1d2fa679b.png?resizew=240)
(1)求证:
平面AEC;
(2)求
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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91708c4508371f08556e76e31c7cb9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/ae50251a-01c8-418f-8d44-47d1d2fa679b.png?resizew=240)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa69a2247ad4d5231aa361349b12f97.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
您最近一年使用:0次
2022-11-12更新
|
256次组卷
|
3卷引用:北京市北京教育学院附属中学2022-2023学年高二上学期期中练习数学试题
名校
解题方法
10 . 如图,在棱长为2的正方体
中,点M为线段
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/c4111e02-113d-4ae8-bd74-89c43e25fef0.png?resizew=148)
(1)求证:
;
(2)求平面
与平面
夹角的余弦值;
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/c4111e02-113d-4ae8-bd74-89c43e25fef0.png?resizew=148)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e862713d078c4f06ec1f15ccd6f5a1f7.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1774d0570a0ecfcdeb274828d7f4a769.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1774d0570a0ecfcdeb274828d7f4a769.png)
您最近一年使用:0次
2022-11-10更新
|
368次组卷
|
4卷引用:北京市顺义区杨镇第一中学2022-2023学年高二上学期期中数学试题