(1) How many triangles are there in the graph? Write them out one by one;
(2) Is there a similar triangle (excluding congruence) in the diagram? If there are, write them down one by one.
[Resolution]: (1) Look at △ABC first, * * has six triangles, plus △AFG, * * seven triangles; (2) Because ∠ DAE = ∠ B = ∠ C = 45, ∠ ADE = ∠ B+∠1= 45+∠1= ∠ BAE, the same is true.
(1) * * * There are seven triangles, which are:
△ABD△ABE△ABC△ADE△ADC△AEC△AFG .
(2) similar triangle, they are:
△ADE∽△BAE，
∠B=∠DAE, ∠ADE is a common angle, so △ADE∽△BAE.
△BAE∽△CDA，
∠DAE=∠B=∠C=45，
∠ADE =∠b+∠ 1 = 45+∠ 1 =∠BAE，
Using the same method ∠ AED = ∠ CAD, you can get △BAE∽△CDA.
△ADE∽△CDA (or △ADE∽△BAE∽△CDA)
∠C=∠ADE, ∠ADC is a common angle, so △ADE∽△CDA.
That's it.