1. 11 basic solutions to fill-in-the-blank questions
Method 1: Direct method
Method 2: Special case method
**10,000 Powder Incentive Plan Method 3: Number Combination Method.
Method 4: Guess the idea
Method 5: Holistic approach
Method 6: Construct method
Method 7: ** method
Method 8: Equivalence conversion method
Method 9: Observation
Method 10: Reduce mistakesExample 13If the radius of the base surface of a cylinder is 1 meter, and its height is 2 meters, then the side area of the cylinder is square meters. (Accurate to 0.)1 square meter). Some candidates directly take the 4 as the result and make an error, and the correct answer should be 126。Secondly, if there are no conditions attached to the question stem, the problem will be solved according to the specific situation and the routine. Second, the implicit conditions of the topic should be carefully analyzed. Method 11: Implicit Conditional MethodExample 14If one side of an isosceles triangle is equal to 4 and one side is equal to 9, then its circumference is equal to . Some test takers think that 9 and 4 can be used as waist lengths, but the two answers 22 and 17 appear, which is because they ignore the implicit condition that "the sum of the two sides of the triangle should be greater than the third side", and should fill in 22.
2. A complete set of multiple-choice problem solutions
Method 1: Exclusion OptionBecause the answer to a multiple-choice question is one of the four choices, we can use the elimination method to eliminate the answer that is easy to judge as the wrong one from the four options, so the one left is naturally the correct answer. Method 2: Assign special values to the methodThat is, according to the conditions in the question, select a special value that meets the requirements or make a special graph for calculation and reasoning. When using the special value method to solve the problem, it is important to pay attention to the selected value to meet the conditions and be easy to calculate. Method 3: Through conjecture and measurement, direct observation or results can be obtainedThis kind of method is often used in junior high school problems in recent years to explore the regularity of the problem, and the main solution of this kind of problem is to use the incomplete induction method to solve the problem through the process of experiment, conjecture, trial and error verification, summarization, and induction. Method 4: Direct solution methodSome multiple-choice questions themselves are adapted from some fill-in-the-blank questions, true/false questions, and solution questions, so the direct method can often be used, which directly starts from the conditions of the question, through correct operations or reasoning, directly obtains the conclusion, and then compares it with the choice items to determine the choice items. We mostly use this method when we do our answers. For example: shopping mall ** activity, the price of 200 yuan of goods, on the basis of a 200 discount, and then a 20% discount sales, the price of the product is ( ) a yuan b, 128 yuan c yuan d, 88 yuanMethod 5: Combination of numbers and shapesTo solve multiple-choice questions related to graphics or images, it is often necessary to use the idea of combining numbers and shapes, and sometimes to use a combination of other methods. Method 6: Substitution methodThe choice branch is substituted into the question stem or the question is substituted into the choice branch for testing, and then the judgment is made. Method 7: ObservationObserve the characteristics of the question stem and the choice branch, and distinguish the differences and interrelationships of each choice branch to make a choice. Method 8: EnumerationList all possible scenarios and then make the right judgment. For example, if you exchange a RMB with a face value of 10 yuan for change, and there is a sufficient face value of RMB of 2 yuan and 1 yuan, the exchange method is ( ) a5 b6 types c8 kinds of d10 kinds of analysis: If you set the face value of 2 yuan RMB x sheets, 1 yuan of RMB y yuan, it is not difficult to list the equation, the non-negative integer solution of this equation has 6 pairs, so choose b. Method 9: Pending coefficient methodIf a certain function relationship is required, the undetermined coefficient can be assumed first, and then the equation (group) can be listed according to the topic, and the undetermined coefficient can be obtained by solving the equation (group), so as to determine the function relation, which is called the undetermined coefficient method. Method 10: Incomplete inductionWhen a mathematical problem involves a large number of related or even infinite situations, and it is difficult to start with a chaotic clue, the effective method is to find out the general rules and find the solution of the problem by examining a number of simple situations.