1 . 对于给定的抛物线
,使得实数p、q满足
.
(1)若
,求证:抛物线
与x轴有交点.
(2)证明:抛物线
的最大值大于等于抛物线
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d972cf8c74b5218298b60908716a8d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c059fce1db054ebb94902a84d25fcd43.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e864b9d4b6a0aa76416348778b26d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2630d6cf14b3e8c82ee7080799901b8d.png)
(2)证明:抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bee92cd110cd46e04633e18c17c4b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188f03bd3b6ee375cbc88926cfbcd774.png)
您最近一年使用:0次
解题方法
2 . 如图,直三棱柱
中,
,M为棱
上一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/28/bf03872a-1f5a-4bb9-baa1-e64bfc2cded0.png?resizew=151)
(1)求三棱锥
的体积;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3fcd16870df59c129f249c77cae646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/28/bf03872a-1f5a-4bb9-baa1-e64bfc2cded0.png?resizew=151)
(1)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3531142aafad00b62ad123b2646373e6.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d428b5b35a66bc647ef7f802cf336d.png)
您最近一年使用:0次
2022-07-16更新
|
728次组卷
|
2卷引用:贵州省2021-2022学年高二下学期7月高中学业水平考试数学试题
解题方法
3 . 如图,三棱柱ABC- A1B1C1的底面是边长为2的正三角形,侧棱BB1⊥底面ABC,BB1=2,D,E分别为CC1, AA1的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/56ada9eb-ff0a-45ad-bb6e-8cd2d437030f.png?resizew=135)
(1)求证∶ CE //平面BDA1;
(2)求四棱锥B-CAA1D的体积.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/56ada9eb-ff0a-45ad-bb6e-8cd2d437030f.png?resizew=135)
(1)求证∶ CE //平面BDA1;
(2)求四棱锥B-CAA1D的体积.
您最近一年使用:0次
2021-07-13更新
|
495次组卷
|
2卷引用:贵州省普通高中2020-2021学年高二7月学业水平考试数学试题
解题方法
4 . 如图,在三棱锥
中,
是
的中点,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/6/21/2489434336509952/2491369202556929/STEM/de88274ed3384e8aab1750d1a97dcf8b.png?resizew=144)
(1)求证:
平面
;
(2)若
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.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/bc61de08bda0c44e06ad89d306c0bb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3432d20e661779ddcefda76afcc2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09307b2858ce8da4bca9a519de9350ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://img.xkw.com/dksih/QBM/2020/6/21/2489434336509952/2491369202556929/STEM/de88274ed3384e8aab1750d1a97dcf8b.png?resizew=144)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32921dfe64bdb7b9efcca0784b5a8f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
您最近一年使用:0次
5 . 在三棱柱
中,底面是边长为4的等边三角形,侧棱垂直于底面,
,M是棱AC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/d8e61d5b-5e29-49fa-a659-369879c1943c.png?resizew=229)
(1)求证:
平面
;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d0fdc5a00ca0e857b89a7e1420df29.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/d8e61d5b-5e29-49fa-a659-369879c1943c.png?resizew=229)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c920d02068d0e63ffdab70786c526d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed2f706801662432b68797e72647c6e.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a75ff4d20aeec9bd67300c70f47d7d.png)
您最近一年使用:0次
2020-03-11更新
|
282次组卷
|
2卷引用:贵州省2015年7月普通高中学业水平测试数学试题
解题方法
6 . 如图,四棱柱
中,侧棱
底面
,所有棱长都为2,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/b2dd4cec-eb6c-471b-92b5-08f3bc693c66.png?resizew=155)
(1)证明:
平面
.
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6906f59d09ce31956d6f5ea2b23fc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/b2dd4cec-eb6c-471b-92b5-08f3bc693c66.png?resizew=155)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554923047631d16320c2ba39abeee99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65277734669566578cbb7d690bb200fb.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926584088b939200d88e64318f2d4e6c.png)
您最近一年使用:0次
名校
7 . 已知定义在
上的函数
.
(1)判断
的奇偶性并证明;
(2)已知不等式,
对所有
恒成立,求关于
的函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1697647bba92906e733fb696f622a2e2.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知不等式,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc690de92af0ef3860d4ab5efdf35604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bcb829208abce3abc7d44e256d5a375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c2afc961d9fb79c78d0aa088364bbd.png)
您最近一年使用:0次
解题方法
8 . 如图,在四棱锥
中,
平面
,AB=BC=1,PA=AD=2,点F为AD的中点,
.
(1)求证:
平面
;
(2)求点B到平面PCD的距离.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8edceecb13cf8f20d25d48bea243f2.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d32e76582bf550593fdef53e081225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求点B到平面PCD的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/1d448a07-24bc-485c-81f2-e2af6938861b.png?resizew=149)
您最近一年使用:0次
名校
解题方法
9 . 如图,四棱锥
中,底面
是正方形,
底面
.
![](https://img.xkw.com/dksih/QBM/2020/3/11/2417271005945856/2417893562458112/STEM/3ddce55118aa4ef98e36eae7960777db.png?resizew=177)
(1)求证:
平面
;
(2)若
,求点
到平面
的距离.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2020/3/11/2417271005945856/2417893562458112/STEM/3ddce55118aa4ef98e36eae7960777db.png?resizew=177)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03eb62330742830c9feea17037739dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2020-03-12更新
|
1099次组卷
|
3卷引用:贵州省2017年12月普通高中学业水平考试数学试题