3.
在直角坐标平面\(xOy\)上的一列点\(A_{1}(1,a_{1})\),\(A_{2}(2,a_{2})\),\(…\),\(A_{n}(2,a_{n})\),\(…\),简记为\(\{A_{n}\}\)若由\(b_{n}= \overrightarrow{A_{n}A_{n+1}}\cdot \overrightarrow{j}\)构成的数列\(\{b_{n}\}\)满足\(b_{n+1} > b_{n}\),\(n=1\),\(2\),\(…\),其中\( \overrightarrow{j}\)为方向与\(y\)轴正方向相同的单位向量,则称\(\{A_{n}\}\)为\(T\)点列\(.\)有下列说法
\(①A_{1}(1,1),A_{2}(2, \dfrac {1}{2}),A_{3}(3, \dfrac {1}{3}),…,A_{n}(n. \dfrac {1}{n}),…\),为\(T\)点列;
\(②\)若\(\{A_{n}\}\)为\(T\)点列,且点\(A_{2}\)在点\(A_{1}\)的右上方\(.\)任取其中连续三点\(A_{k}\)、\(A_{k+1}\)、\(A_{k+2}\),则\(\triangle A_{k}A_{k+1}A_{k+2}\)可以为锐角三角形;
\(③\)若\(\{A_{n}\}\)为\(T\)点列,正整数若\(1\leqslant m < n < p < q\),满足\(m+q=n+p\),则\(a_{q}-a_{p}\geqslant (q-p)b_{p}\);
\(④\)若\(\{A_{n}\}\)为\(T\)点列,正整数若\(1\leqslant m < n < p < q\),满足\(m+q=n+p\),则\( \overrightarrow{A_{n}A_{q}}\cdot \overrightarrow{j} > \overrightarrow{A_{m}A_{p}}\cdot \overrightarrow{j}\).
其中,正确说法的个数为\((\) \()\)