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Rev | Author | Line No. | Line |
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2071 | zjchen | 1 | !set methtit2=应用不等式的传递性 |
2 | !set methtit=不等式的传递性 |
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3 | !set methenv=ZZ QQ RR |
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4 | !set methparmtype=parm inequality >,parm inequality > |
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5 | !set methhelp=此方法应用不等式的传递性:\ |
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5763 | bpr | 6 | <div class="wimscenter">\ |
2071 | zjchen | 7 | \(A > B) 与 \(B > C) 蕴含 \(A > C).\ |
5763 | bpr | 8 | </div>\ |
2071 | zjchen | 9 | 前两个不等式必须已经在假设中,\ |
10 | 而第三个则被加到假设中. \ |
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11 | 原始不等式也可以是 \(A > B) 与 \(C < B) 的形式. |
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12 | |||
13 | !if $wims_read_parm iswordof form check |
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14 | !goto $wims_read_parm |
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15 | !endif |
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16 | |||
17 | !exit |
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18 | :form |
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19 | 对不等式 |
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20 | !read deduc/methparm.phtml 1 |
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21 | 以及 |
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22 | !read deduc/methparm.phtml 2 |
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23 | 应用传递性 |
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24 | |||
25 | !exit |
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26 | :check |
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27 | !distribute items $methparmobj1 into data,left1,sign1,right1 |
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28 | !distribute items $methparmobj2 into data,left2,sign2,right2 |
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29 | methexp=对 \($left1 $sign1 $right1) 与 \($left2 $sign2 $right2) 应用传递性 |
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30 | |||
31 | gt=> |
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32 | lt=< |
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33 | !if ($gt isin $sign1 and $lt isin $sign2) or\ |
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34 | ($lt isin $sign1 and $gt isin $sign2) |
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35 | !exchange left2,right2 |
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36 | !endif |
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37 | !read deduc/sub/simplify ($right1) - ($left2)\ |
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38 | ($right2) - ($left1) |
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39 | !distribute lines $out into test1,test2 |
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40 | !if $test1!=0 |
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41 | !if $test2!=0 |
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42 | error=你的不等式不能应用传递性. |
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43 | !advance penalty |
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44 | !exit |
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45 | !else |
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46 | !exchange right1,right2 |
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47 | !exchange left1,left2 |
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48 | !endif |
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49 | !endif |
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50 | |||
51 | !if $gt isin $sign1 |
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52 | s_=> |
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53 | !else |
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54 | s_=< |
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55 | !endif |
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56 | eq=$empty= |
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57 | !if $eq isin $sign1 and $eq isin $sign2 |
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58 | s_=$s_= |
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59 | !endif |
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60 | newobject0=$left1 $s_ $right2 |
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61 | oldobject=0 |
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62 | |||
63 | !exit |
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64 |