解题方法
1 . 已知函数
.
(1)当
时,解不等式
;
(2)若
的解集包含
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f0915b7bbe6e6f212099f0fc10ea6f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369100ccd44feaa77e5f119ea949a879.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d3c756a52c9185ae6d02d9b9312f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1279ef84071f5ad7c4c1681357edd84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
解题方法
2 . 如图,在平面直角坐标系
中,以坐标原点
为极点,极轴所在的直线为
轴,建立极坐标系,曲线
是经过极点且圆心
在极轴上,半径为1的圆;曲线
是著名的笛卡尔心形曲线,它的极坐标方程为
.
的极坐标方程,并求曲线
和曲线
交点(异于
点)的极径;
(2)曲线
的参数方程为
(为参数),若曲线
和曲线
交于除
点以外的
两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee619c7f8262583d2f6a63c92e7df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a24a274aba1bc258bdb1f1142661066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b754f20cbe682d781f5d1d062fa515.png)
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|
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2卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
解题方法
3 . 如图,直三棱柱
中,
,点
在线段
上,且点
为
的重心,
.
(1)证明:
;
(2)若
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166ccfa0ac0388903f3f5960c7fa3660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9073cce40aa78cc9693c988f3eea90aa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/28/cee33231-7318-4af2-9650-8412edb4e57e.png?resizew=140)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47af45fbf1714055d9b414a44a8613fa.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e223e3d40ee025f15ead90746c28b8c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e7135d2f756584a391268253dcea52.png)
您最近一年使用:0次
解题方法
4 . 已知椭圆
的左、右焦点分别为
,点
在
上,且
,则椭圆
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf16bda15370e9e310159ef5b564b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-04-24更新
|
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2卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
解题方法
5 . 已知平面向量
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad66ffa9784f3b01a466626320c0b8db.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec17381619e15c444db810816b72cd60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad66ffa9784f3b01a466626320c0b8db.png)
您最近一年使用:0次
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3卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
解题方法
6 . 已知正数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ecdddb18b04521519c2c0cb799598be.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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3卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
7 . 在一个圆锥中,
为圆锥的顶点,
为圆锥底面圆的圆心,
为线段
的中点,
为底面圆的直径,
是底面圆的内接正三角形,
,给出下列结论:①
平面
;②
平面
;③圆锥的侧面积为
;④三棱锥
的内切球表面积为
.其中正确的结论个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ea4bd288944d3ba3d6a319de869dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7175df06e33cad4e6bbc3f2f6b0a2986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc54f59ee0d621b9f81a34421adde597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54d7580aa89ec7e855edc303b45cec.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
8 . 已知双曲线
的左、右焦点分别为
,
为双曲线上位于第二象限内的一点,点
在
轴上运动,若
的最小值为
,则双曲线的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2377ea22862dee84fcd0038858de4dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac9c024af8f6fce88e62ba7844aa99ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
解题方法
9 . 如图,网格纸上的小正方形的边长为1,粗线画出的是某几何体的三视图,则该几何体的表面积为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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2卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
解题方法
10 . 若正项等比数列
满足
,则数列
的前4项的和
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1e6ae5078879a433677b7683ff46f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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3卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题