解题方法
1 . 如图,在四棱锥
中,侧面
底面
,底面ABCD是矩形,
, E,F分别是棱PC,PD的中点.
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343719880220672/2394537964994560/STEM/322784e87f4f4274a39d233c4ff4a91e.png?resizew=299)
(Ⅰ)求证:
;
(Ⅱ)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4426db778693c875e2dca9220875d9.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/e3f6967901d6c855864df01e7bf7a15c.png)
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343719880220672/2394537964994560/STEM/322784e87f4f4274a39d233c4ff4a91e.png?resizew=299)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8df9fecaa0b266568ad35fb8f0e019.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a22d6b860f06fe23618b0d3de6768fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
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2 . 如图,在四棱锥
中,
,底面ABCD是边长为3的正方形,E、F、G分别是棱AB、PB、PC的中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/39e82a74-0307-418f-83b2-b98235dee163.png?resizew=292)
(Ⅰ)求证:平面EFG∥平面PAD;
(Ⅱ)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4426db778693c875e2dca9220875d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb05b8b630052ff544249ebd72d95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19f0fcacac715a1200770516d1e4a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d0f60d9856f286e537788a99377590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/39e82a74-0307-418f-83b2-b98235dee163.png?resizew=292)
(Ⅰ)求证:平面EFG∥平面PAD;
(Ⅱ)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ad0298c0f7878cb7c4dd7a141cd952.png)
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3 . 如图,在三棱柱
中,
,
,
,D是棱BC的中点,E是侧面四边形
的对角线
的中点.
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343720216010752/2394508680888320/STEM/f194f152b5d74224b8cbd6e6071f545c.png?resizew=144)
(Ⅰ)求证:
平面
;
(Ⅱ)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22baaea72c9286f1d8d7b99c37755678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0a886f1192d450ced9fd875e78425e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fe926770d2354e172dec02f5ce2efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343720216010752/2394508680888320/STEM/f194f152b5d74224b8cbd6e6071f545c.png?resizew=144)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
您最近一年使用:0次
名校
4 . 在数列
中,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18671559f16e3251076f766f9332e9f5.png)
.
(1)求
,
,
的值;
(2)猜想数列
的通项公式的表达式,并用数学归纳法证明你的猜想.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18671559f16e3251076f766f9332e9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084efdbc812f78e80d043e9531b9bce6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)猜想数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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2020-02-07更新
|
636次组卷
|
4卷引用:重庆市大足区2018-2019学年高二下学期期末数学(理)试题
5 . 用反证法证明命题:“若关于
的方程
有两个不相等的实数根,则
”时,应假设( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc24bf4689a980b8734c67ac57b9763a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
A.![]() | B.关于![]() ![]() |
C.![]() | D.关于![]() ![]() |
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6 . 在数列
中,
,
(
).
(1)求
,
,
的值;
(2)猜想这个数列
的通项公式,并证明你猜想的通项公式的正确性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950c6303c2ec03e48137be8addf9245c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)猜想这个数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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名校
7 . 已知函数
(
)是奇函数.
(1)求实数
的值;
(2)用函数单调性的定义证明函数
在
上是增函数;
(3)对任意的
,若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7047eadf8cf5cc315281adbf7e26a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)用函数单调性的定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac98c4a3017e283c9075cd21453a3c5.png)
(3)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6bb0adade7f1394f06956ba636587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-02-08更新
|
407次组卷
|
2卷引用:重庆市大足区2018-2019学年高二下学期期末数学(文)试题