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高中数学各题型必背公式、答题技巧,掌握就得分!

高中数学各题型必背公式、答题技巧,掌握就得分!

高考数学答题技巧

一、巧解选择、填空题

解选择、填空题的基本原则是“小题不可大做”。

思路:

1.直接从题干出发考虑,探求结果;

2.从题干和选项联合考虑;

3.从选项出发探求满足题干的条件。

4.解填空题基本方法有:

直接求解法、图像法、构造法和特殊化法(如特殊值、特殊函数、特殊角、特殊数列、图形的特殊位置、特殊点、特殊方程、特殊模型等)。

二、细答解答题

1.规范答题很重要,找到解题方法后,书写要简明扼要,快速规范,不拖泥带水,高考评分是按步给分,关键步骤不能丢,但允许合理省略非关键步骤。答题时,尽量使用数学符号,这比文字叙述要节省时间且严谨。即使过程比较简单,也要简要地写出基本步骤,否则会被扣分。
经常看到考生的卷面出现“会而不对”。“对而不全”的情况,造成考生自己的估分与实际得分相差很多。尤其是平面几何初步中的“跳步”书写,使考生丢分,所以考生要尽可能把过程写得详尽、准确。
2.分步列式,尽量避免用综合或连等式。高考评分是分步给分,写出每一个过程对应的式子,只要表达正确都可以得到相应的分数。
有些考生喜欢写出一个综合或连等式,这种方式就不好,因为只要发现综合式中有一处错误,就可能丢过程分。对于没有得出最后结果的试题,分步列式也可以得到相应的过程分,由此增加得分机会。
尽量保证证明过程及计算方法大众化。解题时,使用通用符号,不易吃亏。有些考生为图简便使用一些特殊方法,可一旦结果有错,就会影响得分。

三、常见的规范性的问题

1.解与解集:方程的结果一般用解表示(除非强调求解集);不等式、三角方程的结果一般用解集(集合或区间)表示,三角方程的通解中必须加;在写区间或集合时,要正确地书写圆括号、方括号或花括号,区间的两端点之间,几何的元素之间用逗号隔开。

2.带单位的计算题或应用题,最后结果必须带单位,特别是应用题解题结束后一定要写符合题意的“答”。分类讨论题,一般要写综合性结论。任何结果要最简,排列组合题,无特别声明,要求出数值。函数问题一般要注明定义域(特别是反函数)

3.答题过程整洁美观、逻辑思路清晰、概念表达准确、答出关键语句和关键词。

比如要将你的解题过程转化为得分点,主要靠准确完整的数学语言表述,这一点往往被一些考生忽视。因此,卷面上大量出现“会而不对"、“对而不全”的情况。

如立体几何论证中的“跳步”,使很多人丢失得分,代数论证中的“以图代证”,尽管解题思路正确甚至很巧妙,但是由于不善于把“图形语言"准确地转换为“文字语言”,尽管考生"心中有数”却说不清楚,因此得分少。

4.只有重视解题过程的语言表述,“会做”的题才能“得分”。对容易题要详写,过程复杂的试题要简写,答题时要会把握得分点。

高考数学必备公式+答题模板

最后,冯凌彤老师为大家整理了高考数学各题型通用答题模板+必背公式,建议收藏学习!

一、解三角形

【必背公式】
【答题模板】
【例题解析】

二、数列

【必背公式】
【答题模板】

三、空间立体几何

【必背公式】
【答题模板】
【例题解析】

四、概率与统计

【必背公式】
【答题模板】线性回归方程
【例题解析】

五、圆锥曲线

【必背公式】
【答题模板】
【例题解析】

六、导数

【必背公式】
【答题模板】
【例题解析】

---------END----------

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  1. CONNECT:[ UseTime:0.000612s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000973s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.002491s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.003786s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000682s ]
  6. SELECT * FROM `set` [ RunTime:0.000258s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000692s ]
  8. SELECT * FROM `article` WHERE `id` = 812502 LIMIT 1 [ RunTime:0.004153s ]
  9. UPDATE `article` SET `lasttime` = 1782780756 WHERE `id` = 812502 [ RunTime:0.017909s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000346s ]
  11. SELECT * FROM `article` WHERE `id` < 812502 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000657s ]
  12. SELECT * FROM `article` WHERE `id` > 812502 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000466s ]
  13. SELECT * FROM `article` WHERE `id` < 812502 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000871s ]
  14. SELECT * FROM `article` WHERE `id` < 812502 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.025130s ]
  15. SELECT * FROM `article` WHERE `id` < 812502 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001016s ]
0.191192s